Volume-6 , Issue-2 , Apr 2019, ISSN 2348-4519 (Online) Go Back

• Open Access   Article

  A Study on Determinants Affecting BSE Sensex in India: A Macroeconomic Approach

  K. S. Bhanu, A. R. Pali

  Research Paper | Isroset-Journal (IJSRMSS)

  Vol.6 , Issue.2 , pp.113-123, Apr-2019

  CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v6i2.113123

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  Abstract
  The Bombay Stock Exchange (BSE) is the largest securities market in India. The stock market, being one of the prime avenues for investments, is an important indicator of the Indian economy. Hence, it becomes important to study the factors that affect it. BSE Sensitive Index (Sensex), though sensitive to many economic factors is still a vital phenomenon for Indian market. We have tried to examine the primary factors responsible for affecting Bombay Stock Exchange (BSE) in India. We have considered the following determinants in our study: Crude oil price, Wholesale price index (Inflation), Exchange rate, Foreign Exchange Reserve (Forex), Repo rate, Foreign Domestic Investment (FDI), Call money rate, FII (Foreign Institutional Investor) Investment and Gold price. We have carried out a retrospective study and identified the major factors influencing BSE Sensex using Multiple Linear Regression, Variable Selection and Variance Reduction techniques and tried to establish a model for BSE Sensex based on the prime factors affecting it. Finally, we have tried to improve our model by solving the problem of multicollinearity using Ridge Regression method and obtained an optimal model of BSE Sensex for future prediction.

  Key-Words / Index Term
  Bombay Stock Exchange, BSE Sensex, Multicollinearity, Multiple Linear Regression, Ridge Regression, Variable Selection

  References
  [1]. R. Aggarwal, “Exchange Rates and Stock Prices: A Study of U.S. Capital Market under Floating Exchange Rates”, Akron Business and Economic Review, Vol. 12, pp. 7-12, 1981.
  [2]. E. Bartov, G. M. Bodnar, “Firm Valuation, Earnings Expectations, and the Exchange-Rate Exposure Effect”, Journal of Finance, Vol. 49, pp. 1755-1785, 1994.
  [3]. Ben M. Kais, “Stock Returns and Forecast: Case of Tunisia with ARCH Model”, Journal of Finance and Economics, Vol. 3, Issue. 3, pp. 55-60, 2015.
  [4]. K. Homa, D. Jaffee, “The supply of money and common stock prices”, Journal of Finance, Vol. 26, pp. 46-61, 1971.
  [5]. S. Vashishtha, U. Singh, R. Kumar, “A study of relationships between S&P Bse-sensex and economic growth rates”, International Journal of Marketing, Financial Services & Management Research, Vol. 2, pp. 42—46, 2013.
  [6]. Andreas C. Christofi & A. Pericli,” Correlation in price changes and volatility of major Latin American stock markets”, Journal of Multinational Financial Management, Vol. 9, Issue. 1, pp. 79-93, 1999.
  [7]. Atsuyuki Naka, Tarun Mukherjee, David Tufte, "Macroeconomic variables and the performance of the Indian Stock Market”, Department of Economics and Finance Working Papers, 1991-2006. Paper 15, 1998.
  [8]. Prateek Purey, Anil Patidar, “Stock Market Close Price Prediction Using Neural Network and Regression Analysis”, International Journal of Computer Sciences and Engineering, Vol. 6, Issue. 8, pp. 266-271, 2018.
  [9]. D. Montgomery, E. Peck, G. Vining, “Introduction to linear regression analysis”, John Wiley & Sons, Inc., Third Edition, pp. 13-378, 2003.
  

  Citation
  K. S. Bhanu, A. R. Pali, "A Study on Determinants Affecting BSE Sensex in India: A Macroeconomic Approach," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.6, Issue.2, pp.113-123, 2019

• Open Access   Article

  Construction of Some Block Structured (Complex) Hadamard Matrices

  S. N. Topno, M. K. Singh

  Research Paper | Isroset-Journal (IJSRMSS)

  Vol.6 , Issue.2 , pp.124-130, Apr-2019

  CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v6i2.124130

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  Abstract
  This article investigates some methods to construct Hadamard matrices, made up of other Hadamard blocks of lower orders. Some methods are presented to construct families of real and complex block structuted Hadamard matrices using real and complex orthogonal designs together with some suitable matrices. Other new arrays are also introduced to construct block structured (complex) Hadamard matrices, along with a few methods for their constructions. Block structured (complex) Hadamard matrices have further resulted in (block structured) weighing matrices. Also infinite families of orthogonal design of order 4t and type (2t, 2t) are also constructed which depend upon the existence of Williamson matrices and Turyn-type Williamson matrices.

  Key-Words / Index Term
  Hadamard matrix, weighing matrix, orthogonal design, plug-in arrays, Kronecker product

  References
  [1] S. S. Agaian, “Hadamard matrices and their Applications”, Springer- Verlag, Berlin Heidelberg, New York, Tokyo, pp.78-102, 1985.
  [2] R. Craigen, W. Holzmann and H. Kharaghani, “Complex Golay sequences: structure and applications” Discrete Math., Vol. 252 ,pp 73–89, 2002.
  [3] C. Ding, S. Liao, Y. Wang, et. al. “CircNN: Accelerating and compressing deep neural networks using block-circulant weight matrices”, International symposium on microarchitecture (MICRO) pp.395-408, 2017..
  [4] J. Hadamard, “Résolutiond’une question relative aux déterminants”, Bull. Sci. Math., Vol. 17, pp. 240-246, 1893.
  [5] A. V. Geramita and J. M. Geramita, “Complex orthogonal designs” J. Combin. Theory Ser. A, Vol. 25 , pp.211–225, 1978.
  [6] M. Hall (Jr.), “Combinatorial Theory”, Wiley- Interscience, 2nd edition, pp.238-263, 1988.
  [7] O. Mateo, D. Ž. Doković and I. S. Kotsireas, “Symmetric Hadamard matrices of order 116 and 172 exist”, Spec. Matrices, Vol. 3, pp.227–234, 2015.
  [8] J. Seberry, “Orthogonal Designs: Hadamard Matrices, Quadratic Forms and Algebras”, Springer International Publishing AG 2017.
  [9] J. Seberry and N. A. Balonin, “Two infinite families of symmetric Hadamard matrices”, Australas. J. Combin. Vol. 69, No. 3, pp.349–357, 2017.
  [10] M. K. Singh, K. Sinha and S. Kageyama, “A construction of Hadamard matrices from BIBD( )”, Australas. J. Combin., Vol. 26, pp.93–97, 2002.
  [11] M. K. Singh, and S. N. Topno, “On the construction of Hadamard matrices of order 4n (n odd, n 3) with Hadamard blocks of order 4”, Acta Cient. Indica, Vol XL M, No. 3, pp.309–313, 2014.
  [12] M. K. Singh, S. N. Topno and T. Paswan, “Anticirculant structured block weighing matrices from Williamson matrices”, Int. J. Math. Trends Tech., Vol. 52, No. 4, pp.43-47, 2017.
  [13] J. J. Sylvester, “Thoughts on inverse orthogonal matrices, simultaneous sign successions, and tessellated pavements two or more colours, with applications to Newton’s rule, ornamental tile-work, and the theory of numbers”, Phil. Mag. Vol. 34, No. 1, pp. 461–475, 1867.
  [14] S. N. Topno and M. K. Singh, “Construction of Block Structured Complex Hadamard Matrices”, Acta Cient. Indica, Vol. XLIII M, No. 2 , pp.109–115, 2017.
  [15] R. J. Turyn,“An infinite Class of Williamson Matrices”, J. Combin. Theory Ser. A, Vol. 12, pp. 319–321, 1972.
  [16] W. D. Wallis, A. P. Street and J. S. Wallis, Combinatorics: Room Squares, Sum-Free Sets, Hadamard matrices, Springer-Verlag, Berlin-Heidelberg, New York, pp.279-299, 1972.
  [17] P. Mazumder, R. Middya and M. K. Naskar, “Hardware Implementation of Fast Recursive Walsh-Hadamard Transform”, International Journal of Computer Sciences and Engineering, Vol.7, Issue.1, pp.28-32, 2019.
  
  

  Citation
  S. N. Topno, M. K. Singh, "Construction of Some Block Structured (Complex) Hadamard Matrices," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.6, Issue.2, pp.124-130, 2019

• Open Access   Article

  Life Test Sampling Plans Based on Marshall – Olkin Extended Exponential Distribution

  R. Vijayaraghavan, C. R. Saranya, K. Sathya Narayana Sharma

  Research Paper | Isroset-Journal (IJSRMSS)

  Vol.6 , Issue.2 , pp.131-139, Apr-2019

  CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v6i2.131139

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  Abstract
  Sampling inspection plans for life tests, termed as reliability sampling plans, are the special procedures that are employed to determine the acceptability or non-acceptability of a lot of finished items by carrying out tests of lifetime of the items drawn randomly from the lot and observing the number of failures of items. A specific life test sampling plan can be developed considering the lifetime of the products as the quality characteristic, which is modelled by an appropriate continuous-type probability distribution. Various procedures and rules for the design and evaluation of life test sampling plans based on the tests of sampled lifetime data have been developed and are found in the literature of product control. In this paper, evaluation of life test sampling plans under the conditions for application of Marshall – Olkin extended exponential distribution is considered. Three different criteria for designing life test plans when lot quality is evaluated in terms of mean life, hazard rate and reliability life are proposed. Factors for adapting MIL-STD-105D to life and reliability testing indexed by acceptable quality level under the assumption of Marshall – Olkin extended exponential distribution are also illustrated.

  Key-Words / Index Term
  Acceptable mean life, Hazard rate, Marshall – Olkin Extended Exponential Distribution, Mean life, Reliable life, Reliability sampling

  References
  [1] Aslam, M., and Jun, C.-H., “Group Acceptance Sampling Plans for Truncated Life Tests Based on the Inverse Rayleigh Distribution and Log-logistic Distribution”, Pakistan Journal of Statistics, Vol. 25, 2009, pp. 107 - 119.
  [2] Aslam, M., and Jun, C.-H., “A Group Acceptance Sampling Plan for Truncated Life Test having Weibull Distribution”, Journal of Applied Statistics, Vol. 39, 2009, pp. 1021 - 1027.
  [3] Aslam, M., Kundu, D., Jun, C.-H., and Ahmad, M., “Time Truncated Group Acceptance Sampling Plans for Generalized Exponential Distribution”, Journal of Testing and Evaluation, Vol. 39, 2011, pp. 968 - 976.
  [4] Balakrishnan, N., Leiva, V., and L´opez, J., “Acceptance Sampling Plans from Truncated Life-test Based on the Generalized Birnbaum - Saunders Distribution”, Communications in Statistics - Simulation and Computation, Vol. 36, 2007, pp. 643 - 656.
  [5] Cameron, J. M., “Tables for Constructing and for Computing the Operating Characteristics of Single Sampling Plans”, Industrial Quality Control, Vol. 9, 1952, pp. 37 - 39.
  [6] Epstein, B., “Tests for the Validity of the Assumption that the Underlying Distribution of Life is Exponential, Part I”, Technometrics, Vol. 2, 1960, pp. 83 - 101.
  [7] Epstein, B., “Tests for the Validity of the Assumption that the Underlying Distribution of Life is Exponential, Part II”, Technometrics, Vol. 2, 1960, pp. 167 - 183.
  [8] Goode, H. P., and Kao, J. H. K., “Sampling Plans Based on the Weibull Distribution”, Proceedings of the Seventh National Symposium on Reliability and Quality Control, Philadelphia, PA, 1961, pp. 24 - 40.
  [9] Goode, H. P., and Kao, J. H. K., “Sampling Procedures and Tables for Life and Reliability Testing Based on the Weibull Distribution (Hazard Rate Criterion)”, Proceedings of the Eight National Symposium on Reliability and Quality Control, Washington, DC, 1962, pp. 37 - 58.
  [10] Goode, H. P., and Kao, J. H. K., “Hazard Rate Sampling Plans for the Weibull Distribution”, Industrial Quality Control, Vol. 20, 1964, pp. 30 - 39.
  [11] Gupta, S. S., “Life Test Sampling Plans for Normal and Lognormal Distributions”, Technometrics, Vol. 4, 1962, pp. 151 - 175.
  [12] Gupta, S.S. and Groll, P. A. Gamma Distribution in Acceptance Sampling Based on Life Tests, Journal of the American Statistical Association, 56: 942 - 970, 1961.
  [13] Handbook H-108., “Sampling Procedures and Tables for Life and Reliability Testing”, Quality Control and Reliability, Office of the Assistant Secretary of Defense, US Department of Defense, Washington, D.C, 1960.
  [14] Hong, C. W., Lee, W. C., and Wu, J. W., “Computational Procedure of Performance Assessment of Life-time Index of Products for the Weibull Distribution with the Progressive First-failure Censored Sampling Plan”, Journal of Applied Mathematics., Article ID 717184, Vol. 2012, 2012, pp. 1 - 13.
  [15] Jun, C.-H., Balamurali, S., and Lee, S.-H., “Variables Sampling Plans for Weibull Distributed Lifetimes under Sudden Death Testing”, IEEE Transactions on Reliability, Vol. 55, 2006, pp. 53 - 58.
  [16] Kantam, R.R.L., Rosaiah, K., and Rao, G.S., “Acceptance Sampling Based on Life tests: Log-Logistic Models”, Journal of Applied Statistics, Vol. 28, 2001, pp. 121 - 128.
  [17] Kalaiselvi, S., Loganathan, A., and Vijayaraghavan, R., “Reliability Sampling Plans under the Conditions of Rayleigh – Maxwell Distribution – A Bayesian Approach”, Recent Advances in Statistics and Computer Applications, Bharathiar University, Coimbatore, 2011, pp. 280 - 283.
  [18] Kalaiselvi, S., and Vijayaraghavan, R., “Designing of Bayesian Single Sampling Plans for Weibull-Inverted Gamma Distribution”, Recent Trends in Statistical Research, Publication Division, M. S. University, Tirunelveli, 2010, pp. 123 - 132.
  [19] Loganathan, A., Vijayaraghavan, R., and Kalaiselvi, S., “Recent Developments in Designing Bayesian Reliability Sampling Plans – An Overview”, New Methodologies in Statistical Research, Publication Division, M. S. University, Tirunelveli, 2012, pp. 61 - 68.
  [20] Marshall, A.W., and Olkin, I., “A New Method for Adding a Parameter to a Family of Distributions with Application to the Exponential and Weibull Families”, Biometrika, Vol. 84, 1997, pp. 641 - 652.
  [21] Schilling, E. G., and Neubauer, D. V., Acceptance Sampling in Quality Control, Chapman and Hall, New York, NY, 2009.
  [22] Tsai, T.-R., and Wu, S.-J., “Acceptance Sampling Based on Truncated Life-tests for Generalized Rayleigh Distribution”, Journal of Applied Statistics, Vol. 33, 2006, pp. 595 -600.
  [23] United States Department of Defense., Military Standard, Sampling Procedures and Tables for Inspection by Attributes (MIL-STD-105D), U. S. Government Printing Office, Washington D. C., 1963.
  [24] United States Department of Defense., Sampling Procedures and Tables for Life and Reliability Testing Based on the Weibull Distribution(Mean Life Criterion), Quality Control and Reliability Technical Report (TR 3), Office of the Assistant Secretary of Defense Installation and Logistics), U. S. Government Printing Office, Washington D. C., 1961.
  [25] United States Department of Defense., Sampling Procedures and Tables for Life and Reliability Testing Based on the Weibull Distribution (Hazard Rate Criterion), Quality Control and Reliability Technical Report (TR 4), Office of the Assistant Secretary of Defense Installation and Logistics), U. S. Government Printing Office, Washington D. C., 1962.
  [26] United States Department of Defense., Sampling Procedures and Tables for Life and Reliability Testing Based on the Weibull Distribution(Reliability Life Criterion), Quality Control and Reliability Technical Report (TR 6), Office of the Assistant Secretary of Defense Installation and Logistics), U. S. Government Printing Office, Washington D. C., 1963.
  [27] United States Department of Defense., Factors and Procedures for Applying MIL-STD-105D Sampling Plans to Life and Reliability Testing, Quality Control and Reliability Assurance Technical Report (TR 7), Office of the Assistant Secretary of Defense (Installations and Logistics), Washington, DC, 1965.
  [28] Vijayaraghavan, R., Chandrasekar, K., and Uma, S., “Selection of sampling inspection plans for life test based on Weibull-Poisson mixed distribution”, Proceedings of the International Conference on Frontiers of Statistics and its Applications, Coimbatore, 2012, pp. 225 - 232.
  [29] Vijayaraghavan, R., Sathya Narayana Sharma, K., and Saranya, C. R., “Evaluation of Sampling Inspection Plans for Life-tests Based on Generalized Gamma Distribution”, International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol. 6, 2019, pp. 138 – 146.
  [30] Vijayaraghavan, R., and Uma, S., “Evaluation of sampling inspection plans for life test based on Exponential-Poisson mixed distribution”, Proceedings of the International Conference on Frontiers of Statistics and its Applications, Coimbatore, 2012, pp. 233 - 240.
  [31] Vijayaraghavan, R., and Uma, S., “Selection of Sampling Inspection Plans for Life Tests Based on Lognormal Distribution”, Journal of Testing and Evaluation, Vol. 44, 2016, pp. 1960 - 1969.
  [32] Wu, J. W., and Tsai, W. L., “Failure Censored Sampling Plan for the Weibull Distribution”, Information and Management Sciences. Vol.11, 2000, pp. 13 - 25.
  [33] Wu, J. W., Tsai, T. R., and Ouyang, L. Y., “Limited Failure-Censored Life Test for the Weibull Distribution”, IEEE Transactions on Reliability, Vol.50, 2001, pp. 197 - 111.
  

  Citation
  R. Vijayaraghavan, C. R. Saranya, K. Sathya Narayana Sharma, "Life Test Sampling Plans Based on Marshall – Olkin Extended Exponential Distribution," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.6, Issue.2, pp.131-139, 2019

• Open Access   Article

  On -Orthogonal of Type I Matrices

  K. Jaikumar, S. Aarthy

  Research Paper | Isroset-Journal (IJSRMSS)

  Vol.6 , Issue.2 , pp.140-143, Apr-2019

  CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v6i2.140143

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  Abstract
  In this paper, we introduced a new type of matrices, we called it -orthogonal of type I matrix. Also we have extended some results of [1] in the context of -orthogonal of type I matrices.

  Key-Words / Index Term
  Secondary transpose, -orthogonal matrices, -orthogonal of type I matrices

  References
  [1]. Abedal-Hamza Mahdi Hamza and Baneen Khalid Imran, Orthogonal of type I Matrices with Application, Applied Mathematical Sciences, Vol. 11, Issue 40, pp. 1983-1994, 2017.
  [2]. Anna Lee, Secondary symmetric, skew symmetric and orthogonal matrices, Periodica Mathematica Hungarica, Vol. 7, Issue 1, pp. 63-70, 1976.
  [3]. Anna Lee, On s-symmetric, s-skew symmetric and s-orthogonal matrices, Periodica Mathematica Hungarica, Vol. 7, Issue 1, pp. 61–76, 1976.
  [4]. K. Jaikumar, S. Aarthy and K. Sindhu, On -orthogonal matrices, Mathematical Journal of Interdisciplinary Sciences, Vol. 6, Issue 1, pp. 49-53, 2017.
  

  Citation
  K. Jaikumar, S. Aarthy, "On -Orthogonal of Type I Matrices," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.6, Issue.2, pp.140-143, 2019

• Open Access   Article

  Closed Maps in Bitopological Spaces

  L. Elvina Mary, A. Devika

  Research Paper | Isroset-Journal (IJSRMSS)

  Vol.6 , Issue.2 , pp.144-149, Apr-2019

  CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v6i2.144149

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  Abstract
  In this paper,we introduce the concept of closed maps and study its properties.Also we discuss about Strongly closed maps and obtain several characterizations of these maps. Futher we discuss about Almost- closed mappings and studied its bitopological properties.

  Key-Words / Index Term
  closed open, closed map, open map , Strongly closed map ,Almost closed map

  References
  [1] I.Arockiarani ,"Studies on Generalizations of Generalized closed sets and maps in Topological Spaces",Ph.D Thesis ,Bharathiar University,1997.
  [2] I.Arockiarani and K.Mohana , " closed sets and quasi- -normal",Antartica Journal of Mathematics,Vol.7,No.3,pp 345-355,2010.
  [3] I.Arockiarani and K.Mohana ," Closed Maps in Bitopological Spaces", Int.Journal of Math. Analysis", Vol. 5, No. 29, pp 1419 - 1428,2011.
  [4]A.Devika and L.Elvina Mary ," closed sets in Bitopological Spaces", Elixir Advanced Mathematics,Vol. 101, pp. 44027-44031,2016.
  [5]A.Devika and L.Elvina Mary ," continuous functions in Bitopological Spaces", International Journal of Pure and Applied Mathematics, Vol. 117 ,No. 14, pp.83-90,2017.
  [6]Y.Gnanambal,"On Generalized Pre-regular closed sets in Topological spaces",Indian Journal Pure Appl.Math.,Vol.28,pp.351-360,1997.
  [7]C.Janaki,Ph.D Thesis,"Studies on closed sets in Topological Spaces",2010.
  [8] P. E. Long and L. L. Herington," Basic Properties of Regular Closed Functions",Rend. Cir. Mat. Palermo ,Vol.27, pp. 20-28,1978.
  [9] Lellis Thivagar and Nirmala Mariappan , "A note on (1, 2)*-strongly generalized semi-preclosed sets", Proceedings of the International conference on Mathematics and computer science, pp.422-425,2010.
  [10] Lellis Thivagar.M and Ravi.O, "(1, 2)*-semi generalized continuous maps",Bulletin Malays.Sci.Soc.,Vol.2,No.29,pp.79-88,2006.
  [11] S.Malghan,"Generalized Closed Maps",J. Karnatk Univ. Sci.,Vol.27,pp.82-88,1982.
  [12] O.Ravi,S.Pious Missier and T.Salai Parkunan,"On Bitopological (1, 2)*-Generalized Homeomorphisms",Int. J. Contemp. Math.Sciences, Vol.5,No.11,pp.534-557,2010.
  [13]Singal .M.K.and Singal.A.R.,"Almost continuous mappings", Yokohama,Math J.,Vol.16,pp.63-73.
  [14]Veronica Vijayan, Priya.F, *-closed sets in topological spaces , IJCA, Vol 4,No.3, pp 49-60,2013.
  

  Citation
  L. Elvina Mary, A. Devika, "Closed Maps in Bitopological Spaces," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.6, Issue.2, pp.144-149, 2019

• Open Access   Article

  Matrix Exponential of Secondary Type Matrices

  K. Jaikumar, S. Aarthy

  Research Paper | Isroset-Journal (IJSRMSS)

  Vol.6 , Issue.2 , pp.150-153, Apr-2019

  CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v6i2.150153

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  Abstract
  In this paper, we presented the idea of matrix exponential of secondary type matrices. In particular secondary unitary matrices (s-unitary matrices).

  Key-Words / Index Term
  Secondary transpose, s-unitary matrices, s-hermitian matrices, matrix exponential

  References
  [1] Anna Lee, Secondary symmetric, Skew symmetric and Orthogonal matrices, Periodica Mathematica Hungarica., Vol. 7, Issue 1, pp. 63-70, 1976.
  [2] Anna Lee, On S-Symmetric, S- Skew symmetric and S-Orthogonal matrices, Periodica Mathematica Hungarica., Vol. 7, Issue 1, pp. 71-76, 1976.
  [3] Heeseop Kim and Yongdo Lim, An Extended Matrix Exponential Formula, Journal of Mathematical Inequalities, Vol. 1, Issue 3, pp. 443-447,
  2007.
  [4] S.Krishnamoorthy and K.Jaiumar, On Exponential Representation of S-Orthogonal Matrix, International Journal of Mathematics Research, Vol. 3, Issue 4, pp. 355-360, 2011.
  

  Citation
  K. Jaikumar, S. Aarthy, "Matrix Exponential of Secondary Type Matrices," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.6, Issue.2, pp.150-153, 2019

• Open Access   Article

  Structural Equation Modeling Using to Eye Disease Patients

  K. Lokesh, K. Alagirisamy, R. Revathi, D. Pachiyappan

  Research Paper | Isroset-Journal (IJSRMSS)

  Vol.6 , Issue.2 , pp.154-163, Apr-2019

  CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v6i2.154163

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  Abstract
  Purpose: This study entitled “Structural equation modeling using to eye disease patients” deals with the untreated eye disease which leads to the condition of blindness in the world. Eye problems can be detected early at the age of 35 with the help of a baseline eye exam which helps to prevent vision loss. If a person is at the risk of acute eye problem, yearly visits are recommended. Methods: The Most common eye disease - radiation, cataract, glaucoma, and AMD-infection condition leads to vision loss. It is detected that 80% of vision loss can be avoided on early detection and treatments. Conclusion: This study clearly tells about there is no association between previous checkup and vision problems and demographic variables.

  Key-Words / Index Term
  Eye disease, Cataract, Radiation, and Structural Equation Modeling (SEM)

  References
  [1] Srihari Atti and Superna Mahendra,“PRIMARY ANGLE CLOSURE-STATUS OF THE SECOND EYE WITH EVALUATION OF IOP, OPTIC DISC AND ANGLE OF THE ANTERIOR CHAMBER”, Journal of Research in Ophthalmology and Visual Sciences/ Vol. 2/ Issue 2/ July-December, 2016.
  [2] Niladri Saha, “Awareness of Eye Diseases among the Rural and Semi-Urban Population in North Dinajpur”, West Bengal and Adjacent Area of Bihar: International Journal of Contemporary Medical Research ISSN (Online): 2393-915X; (Print): 2454-7379 | ICV (2015): 77.83
  [3] Lundquist MB, Sharma N, and Kewalramani K (2012), “Patient Perceptions of Eye Disease and Treatment in Bihar India”, Journal of Clinic Experiment Ophthalmology 3:213.
  [4] Danielle M Ledoux, “Vision and eye issues in children with Down syndrome”, June 05-06, 2017 Milan, Journal of Clinic Experiment Ophthalmology 2017, 8:2 (Suppl).
  

  Citation
  K. Lokesh, K. Alagirisamy, R. Revathi, D. Pachiyappan, "Structural Equation Modeling Using to Eye Disease Patients," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.6, Issue.2, pp.154-163, 2019

• Open Access   Article

  Composition of Functions with Separation Axioms

  R. Buvaneswari

  Research Paper | Isroset-Journal (IJSRMSS)

  Vol.6 , Issue.2 , pp.164-167, Apr-2019

  CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v6i2.164167

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  Abstract
  The aim of this paper is to present some new mappings like feebly regular clopen mapping, totally feebly regular continuous, strongly feebly regular continuous, slightly feebly regular continuous functions, feebly regular irresolute, feebly regular clopen irresolute and super feebly regular clopen continuous functions. The notion of feebly regular clopen separation space is introduced. Among several results we prove the composition of functions and characterizations of totally feebly regular continuous functions. Some fundamental properties are investigated in the separation axioms by using the concepts of feebly regular clopen-T1, feebly regular clopen-T2 .

  Key-Words / Index Term
  feebly regular clopen set, feebly regular clopen mapping, feebly regular clopen -T1 space, feebly regular clopen-T2

  References
  [1] K. Ali, “On semi separation axioms”, M.Sc.Thesis, l.Mastaxiriyah Univ., 2003.
  [2] R.Buvaneswari and A.P.Dhana Balan, “On Feebly Regular Set-Connected Function and Quasi Ultra Feebly Regular Open Map in Topological Space”, Indian Streams Research Journal, Vol.6, Issue.5, 2016.
  [3] A.P.Dhana Balan and R.Buvaneswari, “On almost feebly totally continuous functions in topological spaces”, IJCSITR, Vol.3,pp. 274-279, 2015.
  [4] N.Levine, “Semi-open sets and semi-continuity in topological space”, Amer Math.Monthly, Vol.70, pp.36-41, 1963.
  [5] S.N. Maheswari and P.C.Jain, “Some new mappings”, Mathematica,Vol.24, Issue.47, pp.53-58, 1982.
  [6] G.D.Maio and T. Noiri, “On S-closed spaces”, Indian J.Pure Appl. Math., Vol.18, Issue.3, pp.226-233, 1987..
  [7] V.Popa, Glasnik Math., Vol.14, Issue.34, pp. 359-3362, 1979.
  

  Citation
  R. Buvaneswari , "Composition of Functions with Separation Axioms," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.6, Issue.2, pp.164-167, 2019

• Open Access   Article

  Some Sufficient Conditions of Generalized Distribution Series on Univalent Functions

  M.K. Singh, S. Porwal

  Research Paper | Isroset-Journal (IJSRMSS)

  Vol.6 , Issue.2 , pp.168-171, Apr-2019

  CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v6i2.168171

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  Abstract
  The purpose of the present paper is to obtain some sufficient conditions for the generalized distribution series belonging to the certain classes of analytic univalent functions.

  Key-Words / Index Term
  Analytic, Univalent functions, generalized Distribution

  References
  [1] M.S. Robertson, “On the theory of univalent functions”, Ann. Math., Vol. 37, pp. 374-408, 1936.
  [2] H. Silverman, “Univalent functions with negative coefficients”, Proc. Amer. Math. Soc., Vol. 51 Issue 1, pp. 109-116, 1975.
  [3] O. Altintas, Ö. Özkan, H.M. Srivastava, “Neighborhoods of a class of analytic functions with negative coefficients”, Appl. Math. Lett., Vol. 13, Issue. 3, pp. 63-67, 2000
  [4] K.K. Dixit, S.K. Pal, “On a class of univalent functions related to complex order”, Indian J. Pure Appl. Math., Vol. 26 Issue. 9, pp. 889-896, 1995.
  [5] S. Porwal, “An application of a Poisson distribution series on certain analytic functions”, J. Complex Anal., Vol. 2014, Art. ID 984135, pp. 1-3, 2014.
  [6] W. Nazeer and A.U. Haq, “An application of a Hypergeometric distribution series on certain analytic functions”, Sci. Int. (Lahore), Vol. 27 Issue. 4, pp. 2989-2992, 2015.
  [7] S. Porwal, S. Kumar, “Confluent hypergeometric distribution and its applications on certain classes of univalent functions”, Afr. Mat., Vol. 28 Issue.(1-2), pp. 1-8, 2017.
  [8] W. Nazeer, Q. Mehmood, S.M. Kang, A.U. Haq, “An application of a Binomial distribution series on certain analytic functions”, J. Comput. Anal. Appl., Vol. 26 Issue. 1, pp. 11-17, 2019.
  [9] S. Porwal, “Generalized distribution and its geometric properties associated with univalent functions”, J. Complex Anal., Vol. 2018, Art. ID 8654506, pp. 1-5, 2018.
  [10] G. Murugusundaramoorthy, “Subclasses of starlike and convex functions involving Poisson distribution series”, Afr. Mat., Vol. 28 Issue. (7-8), pp. 1357-1366, 2017.
  

  Citation
  M.K. Singh, S. Porwal, "Some Sufficient Conditions of Generalized Distribution Series on Univalent Functions," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.6, Issue.2, pp.168-171, 2019

• Open Access   Article

  Representation of Soft Substructures of a Soft Semigroup by Products

  Nistala V.E.S. Murthy, Chundru Maheswari

  Research Paper | Isroset-Journal (IJSRMSS)

  Vol.6 , Issue.2 , pp.172-181, Apr-2019

  CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v6i2.172181

  Abstract

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  Abstract
  In this paper, for any soft semigroup over a semigroup we construct a crisp semigroup in such way that the complete lattice of all soft substructures of the given soft semigroup is complete epimorphic to a complete lattice of certain substructures of the crisp semigroup and that the complete lattice of all regular soft substructures of the given soft semigroup is complete isomorphic to a complete lattice of certain substructures of the crisp semigroup.

  Key-Words / Index Term
  (Extended) Soft (sub) semigroup, Associated product semigroup for a soft semigroup, factorizable subsemigroup (left ideal, right ideal, ideal, quasi-ideal, bi-ideal)

  References
  [1] D. Molodtsov, “Soft set theory-first results”, Computers & Mathematics with Applications, Vol.37,pp.19-31, 1999.
  [2] M.I. Ali, M. Shabir, K.P. Shum, “On Soft Ideals over Semigroups”, Southeast Asian Bulletin of Mathematics, Vol.34, pp.595-610, 2010.
  [3] N.V.E.S. Murthy, Ch. Maheswari, “Representation of Soft Subsets by Products”, International Journal of Mathematics And its Applications, Vol.6, Issue.(2-A), pp.227-241, 2018.
  [4] P.A. Grillet, “Semi groups: An Introduction to the Structure Theory”, Marcel Dekker, New York, 1995.
  [5] N.V.E.S. Murthy and Ch. Maheswari, “A First Study of f-(Fuzzy) Soft -Algebras and their f-(Fuzzy) Soft -Subalgebras”, Global Journal of Pure and Applied Mathematics, Vol.13, Issue.6, pp.2503-2526, 2017.
  [6] M.I. Ali, M. Shabir, “Comments on De Morgan`s law in fuzzy soft sets”, Jornal of Fuzzy Mathematics, Vol.18, pp.679-686, 2010.
  [7] D. Pei, D. Miao, “From soft sets to information systems”, Proceedings of Granular Computing, IEEE International Conference 2, pp.617- 621, 2005.
  [8] F. Feng, Y.B. Jun, X. Zhao, “Soft semi rings”, Computers & Mathematics with Applications, Vol.56, pp.2621-2628, 2008.
  [9] N.V.E.S. Murthy, Ch. Maheswari, “A Note on 0-Adjoined Soft Semigroups” (Communicated).
  [10] N.V.E.S. Murthy, Ch. Maheswari, “A Note on the Extensions of the Soft Substructures of a Soft Semigroup” (Communicated)
  [11] H. Aktas, N. Cagman, “Soft sets and soft groups”, Information Sciences, Vol.177, pp.2726-2735, 2007.
  [12] M.I. Ali, F. Feng, X. Liu, W.K. Min, M. Shabir, “On some new operations in soft set theory”, Computers & Mathematics with Applications, Vol.57, pp.1547-1553, 2009.
  [13] J.M. Howie, “An Introduction to Semigroup Theory”, Academic Press, London, 1976.
  [14] P.K. Maji, R. Biswas, A.R. Roy, “Soft set theory”, Computers & Mathematics with Applications, Vol.45, pp.555-562, 2003.
  [15] G. Szasz, “An Introduction to Lattice Theory”, Academic Press, New York.
  [16] L.A. Zadeh, “Fuzzy sets”, Information and Control, Vol.8, pp.338-353, 1965.
  [17] S. Mohanambal, G. Jeyanthi, A. Pethalakshmi, “An Efficient Decision making in Crop cultivation using Soft Set Theory”, International Journal of Computer Sciences and Engineering, Vol.6,Special Issue.4, pp.86-92, 2018.
  

  Citation
  Nistala V.E.S. Murthy, Chundru Maheswari, "Representation of Soft Substructures of a Soft Semigroup by Products," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.6, Issue.2, pp.172-181, 2019