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• Open Access   Article

  Properties of Intuitionistic L-Fuzzy Sets of Third Type

  Afshan, Shiny Jose

  Review Paper | Isroset-Journal (IJSRMSS)

  Vol.6 , Issue.2 , pp.182-183, Apr-2019

  CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v6i2.182183

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  Abstract
  In the last decade, there have been some extensions of fuzzy sets and their applications. In this paper, we introduce the Intuitionistic L-Fuzzy Sets of third type and additionally study some of their properties.

  Key-Words / Index Term
  Fuzzy set[FS], Intuitionistic Fuzzy set[IFS], Intuitionistic L-Fuzzy set[ILFS], Intuitionistic L-Fuzzy sets of second type[ILFSST], Intuitionistic L-Fuzzy sets of third type[ILFSTT]

  References
  [1] K.T Atanassov,”Type-1 Fuzzy Sets and Intuitionistic Fuzzy Sets”, Volume 10, Issue 3(2017), 106.
  [2] R.Srinivasan , Syed Siddiqua Begum, “Some Properties of Intuitionistic Fuzzy sets of Third type” , 1(1)(2015), 53-58.
  [3] R Srinivasan , S Sheik Dhavudh,” Properties of Intuitionistic L -Fuzzy sets Of Second type”, Volume 4, Issue 2-B (2016), 65-68.
  [4] Anestis G. Hatzimichailidis ,Basil K. Papadopoulos, “L-fuzzy Sets and Intuitionistic Fuzzy Set”s ,2007
  [5] K.T Atanossov, “Intuitionistic Fuzzy sets- Theory and Applications”, Springer Verlag, New York, (1999).
  

  Citation
  Afshan, Shiny Jose, "Properties of Intuitionistic L-Fuzzy Sets of Third Type," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.6, Issue.2, pp.182-183, 2019

• Open Access   Article

  Coupled Common Fixed Point Theorems of C–Class Function on Ordered S–Metric Spaces

  R. Krishnakumar, T. Mani, D. Dhamodharan

  Review Paper | Isroset-Journal (IJSRMSS)

  Vol.6 , Issue.2 , pp.184-192, Apr-2019

  CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v6i2.184192

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  In this paper, we discuss some results on coupled common fixed point theorems of C – Class function on ordered S – metric spaces, which are study of generalisation of some existing results are given in form of corollaries.

  Key-Words / Index Term
  S–metric space, ordered S–metric space, coupled fixed point, Common fixed point, C–Class function

  References
  [1] Abdollsattar Gholidahneh, Shaban Sedghi, Tatjana Dosenovic and Stojan Radenovic, “Ordered S-metric Spaces and Coupled Common Fixed
  Point Theorems of Integral Type Contraction”, Mathematics Interdisciplinary Research, Vol.2, pp.71–84,2017.
  [2] A.H.Ansari, “Note on Contractive Type Mappings and Related Fixed Point”, The 2nd Regional Conference on Mathematics And
  Applications, PNU, pp. 377–380, September 2014.
  [3] Arslan Hojat Ansari,Sumit Chandok, NawabHussin and Ljiljana Paunovic, “Fixed Points of Weak Contractions in Regular Cone Metric
  Spaces via New Function”, J. Adv. Math. Stud.Vol.9, No.1, pp.72–82, 2016.
  [4] Arslan Hojat Ansari, R.Krishnakumar and D.Dhamodharan, “Cone C-Class Function on New Contractive Conditions of Integral Type on
  Complete Cone S-metric Spaces”, International Journal of Mathematics and its Applications, Vol.5, No.(3-C), pp.261–275, 2017.
  [5] Animesh Gupta, “Cyclic Contraction on S-metric Space”, International journal of Analysis and Applications, Vol. 3, No.2, pp. 119–130, 2013.
  [6] T.G.Bhaskar, V.Lakshmikantham, “Fixed Point Theorems in Partially Ordered Metric Spaces and Applications”, Nonlinear Anal. Vol. 65, No.7,
  pp.1379–1393, 2006.
  [7] A.Branciari, “A Fixed Point Theorem for Mappings Satisfying a General Contractive Condition of Integral Type”, International Journal of
  Mathematicsand Mathematical Sciences, Vol. 29, No. 9, pp. 531–536, 2002.
  [8] Lj.Ciric, V.Lakshmikantham, “Coupled Random Fixed Point Theorems for Nonlinear Contractions in Partial Ordered Metric Spaces”, Stoch.
  Anal. Appl. Vol. 27, No. 6, pp. 1246–1259, 2009.
  [9] N.V.Dung, “On Coupled Common Fixed Point for Mixed Weakly Monotone Maps in Partially Order S-metric Spaces”, Fixed Point Theory
  Application, 2013:48, 17pp, 2013.
  [10] D.Dhamodharan and R. Krishnakumar, “Cone S-metric Space and Fixed Point Theorems of Contractive Mappings”, Annals of Pure and Applied
  Mathematics, Vol. 14, No. 2, pp. 237–243, 2017.
  [11] M.S.Khan, M.Swaleh and S.Sessa, “Fixed Point Theorems by Altering Distances Between the Points”, bulletin of the Australian Mathematical
  Society, Vol. 30, No. 1, pp.1–9, 1984.
  [12]R.Krishnakumar and T.Mani, “Common Fixed Point of Contractive Modulus on Complete Metric Space”, International Journal of Mathematics
  And its Applications, Vol. 5, No. (4-D),pp. 513–520, 2017.
  [13] V.Lakshmikantham, Lj.Ciric, “Coupled Fixed Point Theorems for Non linear Contractions in Partial Ordered Metric Spaces”, Nonlinear Anal.,
  Vol. 70, No. 12, pp. 4341–4349, 2009.
  [14] S.Sedghi, N.Shobe, A.Aliouche, “A Generalization of Fixed Point Theorems in S-metric Spaces”, Mat.Vesnik, Vol. 64, No.3, pp. 258–266, 2012.
  [15] S.Sedghi,I.Altun, N.Shobe, M.Salahshour, “Some Properties of S-metric Space and Fixed Point Results”,Kyungpook Math.J., Vol. 54, No. 1,
  pp. 113–122, 2014.
  [16] S.Sedghi, N.Shobe, T.Dosenovic, “Fixed Point Results in S-metric Spaces”, Nonlinear Func. Anal.Appl., Vol. 20, No. 1, pp. 55–67, 2015.
  

  Citation
  R. Krishnakumar, T. Mani, D. Dhamodharan, "Coupled Common Fixed Point Theorems of C–Class Function on Ordered S–Metric Spaces," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.6, Issue.2, pp.184-192, 2019

• Open Access   Article

  A Modification of Pranav Distribution using Quadratic Rank Transmutation Map Approach

  C. C. Odom, E. C. Nduka, M.A. Ijomah

  Research Paper | Isroset-Journal (IJSRMSS)

  Vol.6 , Issue.2 , pp.193-202, Apr-2019

  CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v6i2.193202

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  Abstract
  A modification of the Pranav distribution is derived using the Quadratic Rank Transmutation Map (QRTM) approach and named Transmuted Pranav distribution (TPD). Mathematical properties of the new distribution are also derived. The new distribution is applied to real life data from the behavioral sciences and the method of maximum likelihood is used to estimate the parameters. The goodness of fit of the proposed distribution is compared with that of some competing distributions and the results show the superior performance of the proposed distribution.

  Key-Words / Index Term
  Quadratic Rank Transmutation Map, Pranav distribution, Moment Generating Function, Rényi Entropy, Order Statistics, Reliability Analysis, Maximum Likelihood Estimation

  References
  [1]. Adamidis, K., & Loukas, S. (1998). A lifetime distribution with decreasing failure rate. Statistics & Probability Letters, 39(1), 35-42.
  [2]. Balakrishnan, N., Victor, L., & Antonio, S. (2010). A mixture model based on Birnhaum-Saunders distributions. A study conducted by authors regarding the scores of the GRASP (general rating of affective symptoms for preschoolers), in a city located at south part of the Chile.
  [3]. Bhatti, F. A., Hamedani, G. G., Korkmaz, M. Ç., & Ahmad, M. (2018). The transmuted geometric-quadratic hazard rate distribution: development, properties, characterizations and applications. Journal of Statistical Distributions and Applications, 5(1), 4.
  [4]. Borah M, Hazarika J (2017). Discrete Shanker Distribution and Its Derived Distributions. Biom Biostat Int J 5(4): 00140. DOI: 10.15406/bbij.2017.05.00140
  [5]. Ghitany, M. E., Atieh, B., & Nadarajah, S. (2008). Lindley distribution and its application. Mathematics and computers in simulation, 78(4), 493-506.
  [6]. Marshall, A. W., & Olkin, I. (1997). A new method for adding a parameter to a family of distributions with application to the exponential and Weibull families. Biometrika, 84(3), 641-652.
  [7]. Nofal, Z. M., El Gebaly, Y. M., Altun, E., Alizadeh, M., & Butt, N. S. (2017). The transmuted geometric-Weibull distribution: properties, characterizations and regression models. Pakistan Journal of Statistics and Operation Research, 13(2), 395-416.
  [8]. Shanker, R. (2015). Akash distribution and its applications. International Journal of Probability and Statistics, 4(3), 65-75.
  [9]. Shanker, R. (2016). Sujatha distribution and its Applications. Statistics in Transition new series, 17(3), 391-410.
  [10]. Shanker, R., & Shukla, K. K. (2017). Ishita distribution and its applications. Biometrics & Biostatistics International Journal, 5(2), 1-9.
  [11]. Shaw, W. T., & Buckley, I. R. (2009). The alchemy of probability distributions: beyond Gram-Charlier expansions, and a skew-kurtotic-normal distribution from a rank transmutation map. arXiv preprint arXiv:0901.0434.
  [12]. Shukla K. K. (2018). Pranav distribution with properties and its applications. Biom Biostat Int J., 7(3), 244‒254. DOI: 10.15406/bbij.2018.07.00215.
  [13]. Tahir, M. H., & Cordeiro, G. M. (2016). Compounding of distributions: a survey and new generalized classes. Journal of Statistical Distributions and Applications, 3(1), 13.
  [14]. Yilmaz, M., Hameldarbandi, M., & Kemaloglu, S. A. (2016). Exponential-modified discrete Lindley distribution. SpringerPlus, 5(1), 1660.
  

  Citation
  C. C. Odom, E. C. Nduka, M.A. Ijomah, "A Modification of Pranav Distribution using Quadratic Rank Transmutation Map Approach," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.6, Issue.2, pp.193-202, 2019

• Open Access   Article

  Centroidal, Logarithmic and Identric Mean Labeling of Graphs

  Alagu S., R. Kala

  Research Paper | Isroset-Journal (IJSRMSS)

  Vol.6 , Issue.2 , pp.203-206, Apr-2019

  CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v6i2.203206

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  Abstract
  Graph labeling was first introduced by Rosa in 1966 [1]. Labeling of graphs is an assignment of non-negative integers to vertices, edges or both according to some specified conditions. Mean labeling of graphs was introduced by Somasundaram.S and Ponraj.R in 2003[2]&[3]. Subsequently, labelings of graphs were done with geometric mean, harmonic mean etc.,. We have already introduced Centroidal mean labeling[4], Logarithmic and Identric mean labeling of graphs[5]. In this paper we acquire these mean labelings for some more standard graphs. MSC 2000 : 05C78, 05C38

  Key-Words / Index Term
  Centroidal Mean, Logarithmic Mean, Identric Mean, Labeling, Mean graphs, Centroidal mean labeling, Logarithmic mean labeling, Identric mean labeling

  References
  [1]. Rosa. A, On Certain Valuations of the Vertices of a Graph, Theory of Graphs (International Symposium, Rome July 1996, Gordon and Breach, NV and Dunod Paris), (1967), 349-355.
  [2]. Somasundaram. S and Ponraj. R, Mean Labeling of Graphs, National Academy Science Letters, 26(2003) pp.210-213.
  [3]. Somasundaram. S and Ponraj. R, Some results on mean graphs, Pure and Applied Mathematika Sciences, 58(2003), 29-35.
  [4]. Alagu. S and R. Kala, Centroidal Mean Labeling of graphs, Far East Journal of Mathematical Sciences (To appear)
  [5]. Alagu. S and R. Kala, Logarithmic and Identric Mean Labeling of Graphs (Communicated)
  [6]. Gallian. J.A , A Dynamic Survey of Graph Labeling, The Electronic Journal of Combinatorics, (DS6)(2012).
  

  Citation
  Alagu S., R. Kala, "Centroidal, Logarithmic and Identric Mean Labeling of Graphs," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.6, Issue.2, pp.203-206, 2019

• Open Access   Article

  Hamiltonian Cycle and Hamiltonian Path Decomposition of Fan Graphs

  L.T. Cherin Monish Femila, S. Asha

  Research Paper | Isroset-Journal (IJSRMSS)

  Vol.6 , Issue.2 , pp.207-211, Apr-2019

  CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v6i2.207211

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  Abstract
  A path in a graph G that contains every vertex of G is called Hamiltonian path. A cycle in a graph G that contains every vertex of G is called a Hamiltonian cycle of G. A Hamiltonian graph is a graph that contains a Hamiltonian cycle. A graph is uniquely Hamiltonian if it contains exactly one Hamiltonian cycle. A decomposition of a graph G into Hamiltonian cycles will be called Hamiltonian decomposition of G. In this paper, we investigate Hamiltonian path decomposition of fan graph. Using this concept, we also investigate Hamiltonian decomposition of double fan graph.

  Key-Words / Index Term
  Hamiltonian cycle, Hamiltonian graph, uniquely Hamiltonian, Hamiltonian decomposition, fan graph.

  References
  [1] Klas Markstrom, “Even cycle decomposition of 4-regular graphs and line graphs”.
  [2] Murugesan N., Vanadhi T., “Hamiltonian decomposition of complete graphs and complete digraphs”, Global Journal of theoretical and applied Mathematics Sciences, Vol 1, No 1, (2011), ISSN 2248-9916.
  [3] Bermond J.C., “ Hamiltonian Decompositions of Graphs, Directed Graphs and Hypergraphs”, Advances in Graph Theory, Annals of Discrete Mathematics 3 (1978) 21-28.
  [4] Ali Ahmad, Ruxandra Marinescu-Ghemeci, “Radio Labeling of Some Ladder-Related Graphs”, MATH. REPORTS 19 (69), 1 (2017), 107-119.
  [5] Bondy J.A., Murty U.S.R., “Graph Theory with Applications”, 1976, Elsevier, New York.
  [6] Bosak J., “Decompositions of Graphs”, 1990, Kluwer Academic Press, Dordrecht.
  [7] Cherin Monish Femila L.T., Asha S., “Hamiltonian Decomposition of Special Class of Ladder Graphs”, International Journal of Scientific Research in Mathematical and Statistical Sciences, Volume-5, Issue-5, pp.114-120, October (2018), E-ISSN: 2348-4519.
  [8] Cherin Monish Femila L.T., Asha S., “Hamiltonian Decomposition of Wheel Related Graphs”, International Journal of Scientific Research and Review, ISSN NO: 2279-543X.
  

  Citation
  L.T. Cherin Monish Femila, S. Asha, "Hamiltonian Cycle and Hamiltonian Path Decomposition of Fan Graphs," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.6, Issue.2, pp.207-211, 2019

• Open Access   Article

  On Some Intuitionistic Almost Open Maps

  P. Agrawal, J.K. Maitra

  Research Paper | Isroset-Journal (IJSRMSS)

  Vol.6 , Issue.2 , pp.212-216, Apr-2019

  CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v6i2.212216

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  Abstract
  In this paper we have introduced intuitionistic almost open maps, intuitionistic almost α-open maps, intuitionistic almost σ-open maps, intuitionistic almost π-open maps and intuitionistic almost β-open maps on intuitionistic topological spaces. These generalized forms of intuitionistic almost open maps are defined by intuitionistic open sets and investigate relationships among these maps. We have constructed some examples which are quite useful in theory of intuitionistic open maps.

  Key-Words / Index Term
  intuitionistic almost open maps, intuitionistic almost α-open maps, intuitionistic almost σ-open maps, intuitionistic almost π-open maps and intuitionistic almost β-open maps

  References
  [1] A. Manimaran and K. Arun Prakash,
  “Intuitionistic fuzzy almost open mappings in intuitionistic fuzzy topological spaces”, International Journal of Mathematical Archive-3(2), 373-379, 2012.
  [2] A. Singaravelan, “On intuitionistic β-open sets”, Mathematical science, I. J., Vol. 5, 2016.
  [3] A. Singaravelan and G. Ilango, “Some more properties of intuitionistic β-open sets”, Int. Jour. of pure and Applied Mathematics, vol. 106, no 8, 13-20, 2016.
  [4] C. Cao, J. Yan, W. Wang and W. Wang, “Some generalized continuities functions on generalized topological spaces”, Hacettepe Jour. of Mathematics and statistics, 42(2), 159-163, 2013.
  [5] D. Andrijevic, “On b-open sets”, Mat. Vesnik, 48, 59- 64, 1996.
  [6] D. Coker, “An introduction to intuitionistic topological Spaces”, Preliminary report, Akdeniz university, Math. Dept. Turkey, 51-56, 1995.
  [7] D. Coker, “A note on intuitionistic sets and intuitionistic Points”, Turkish J. Math., 20, No. 3, 343-351, 1996.
  [8] D. Coker, “An Introduction to intuitionistic topological spaces”, BUSEFAL, 81, 51-56, 2000.
  [9] G. Ilango and S. Selvanyaki, “Generalized pre regular closed sets in intuitionistic topological spaces”, IJMA, 5(4), 30-36, 2014.
  [10] G. Sasikala and M.N. Krishnan, “Study on Intuitionistic Semiopen Sets”, IOSR journal of Mathematics, vol. 12, Isssue 6 Ver. III, 2016, 79- 84.
  [11] G. Sasikala and M.N. Krishnan, “On intuitionistic preopen Sets”, Inter. journal of Pure and Applied Mathematics, vol. 116, no 24, 281-292, 2017.
  [12] G. Sasikala and M.N. Krishnan, “Study on intuitionistic α-open sets and α-closed sets”, Int. Jour. of Mathematics Archive, 8(1), 26-30, 2017.
  [13] J.T., Yaseen S. and Abdualbaqi L., “Some generalized sets and generalized mapping in intuitionistic topological spaces”, J. of al- Qadisiyah for computer science and mathematics, 7, 2, 2015.
  [14] P. Agrawal and J.K. Maitra, “ Some stronger form of intuitionistic continuous maps”, IJRAR, vol 5, Issue 4, pp 59-65, 2018.
  [15] P. Agrawal and J.K. Maitra, “On Intuitionistic sgp-closed sets in Intuitionistic Topological Space”, International Journal of Scientific Research in Mathematical and Statistical Sciences Volume-5, Issue-4, pp.404-408, August 2018.
  [16] T.A., Albinaa and G., Ilango, “ On α-Homeomorphism in intuitionistic topological space”, I. J. of engineering science, vol 6, Issue 10, pp 07-13, 2017.
  [17] Y.J. Yaseen and A.G. Raouf, “On generalized closed sets and generalized continuity on intuitionistic topological spaces”, J. of al-anbar uni. for pure science, 3,1, 2009.
  

  Citation
  P. Agrawal, J.K. Maitra, "On Some Intuitionistic Almost Open Maps," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.6, Issue.2, pp.212-216, 2019

• Open Access   Article

  Bayesian Approach in Control Charts Techniques

  Amin Shaka Aunali, D. Venkatesan

  Survey Paper | Isroset-Journal (IJSRMSS)

  Vol.6 , Issue.2 , pp.217-221, Apr-2019

  CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v6i2.217221

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  Abstract
  The major use of Bayesian methods in SPC is the area which aims to estimate the control chart parameters more efficiently, considering cost of sampling and chart performance. This issue is now being investigated for economical design of control charts and more recently for adaptive control charts. The traditional approach to a control chart design considers the classical control chart framework with the objective of determining the values of the chart parameters, namely the sample size, sampling interval, and the control limits to satisfy economic or statistical requirements. Under a Bayesian approach, the focus can be shifted to determining the optimal control policy based on the posterior probability that the process is out of control, minimizing the total expected cost over a finite horizon, or the long-run expected average cost. In this paper, the Bayesian control charts is developed.

  Key-Words / Index Term
  Statistical Process Control, Bayesian approach, Prior and Posterior distribution

  References
  [1] A. Gelman, J. Carlin, H. Stern, and D. Rubin, “Bayesian Data Analysis”, Chapman & Hall/CRC. 2004.
  [2] D. C. Montgomery, “Introduction to Statistical Quality Control”, 7th ed., Wiley, New York, 2012.
  [3] E. S. Page, “A Test for a change in parameter occurring at an unknown Time Point”, Biometrica, 44, pp. 523-527, 1955.
  [4] L. D. Broemeling,, “Bayesian Analysis of Linear Models”, Marcel Deeker, New York, 1985.
  [5] P. F. Craigmile, A. C. Catherine, Li Hongfei, P. Rajib and C. Noel, “Hierarchical Model Building, Fitting, and Checking: A Behind-the-Scenes Look at a Bayesian Analysis of Arsenic Exposure Pathways”, International Society for Bayesian Analysis, Vol. 4, No 1, pp. 1-36, 2009.
  [6] Shaka A. Amin and D. Venkatesan, “Comparison of Bayesian Method and Classical Charts in Detection of Small Shifts in the Control Charts”, International Journal of Operations Research and Optimization, Vol. 8, No. 1, pp. 23-35, 2017.
  [7] Shaka A. Amin and D. Venkatesan, “Recent Developments in Control Charts Techniques”, International Journal of Operations Research and Optimization, Vol. 8, No. 1, pp. 23-35, 2019.
  

  Citation
  Amin Shaka Aunali, D. Venkatesan, "Bayesian Approach in Control Charts Techniques," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.6, Issue.2, pp.217-221, 2019

• Open Access   Article

  Residual FRAR Control Chart for Correlated Data

  P. Poojalakshmi, D. Venkatesan

  Research Paper | Isroset-Journal (IJSRMSS)

  Vol.6 , Issue.2 , pp.222-227, Apr-2019

  CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v6i2.222227

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  Abstract
  In this paper, the FRAR residual control chart is used to detect the using the given assignable cause shift in the process mean, using FRAR chart developed by Poojalakshmi and Venkatesan (2019). Which is the extension of the residual ARMA chart of wardell et.al (1994) and illustrated with an example.

  Key-Words / Index Term
  Residual, Control Chart, FRAR, Correlated Data, ARMA

  References
  [1] Alwan, L. C and. Roberts, H.V (1988) “Time-series modelling for statistical process control”, Journal of Business and Economic Statatistics.6: 87–95.
  [2] Box, G.E.P and J.M Jenkins (1970) “Time Series Analysis: Forecasting and Control”, Holden- day; San Francisco.
  [3] Brook, D. and Evans, D.A.(1972) “An Approach to the Probability distribution of CUSUM run length” . Biometrika, 59, 539-549.
  [4] Crowder, S. V (1986)“A simple method for studying run-length distributions of exponentially weighted moving average charts”, Technimetrics 29: 401–407.
  [5] Douglas C. Montgomery., (1991) Introduction to Statistical Quality Control, 2nd Edition, John Wiley and sons, New York.
  [6] Engliish, J.R. (1994) “Fixed control limits for continuous flow processes”. IEEE Transections on engineering management, 41, 310-314.
  [7] Harris, T. J. and Ross, W.H. (1991) “Statistical process control procedures for correlated observations”, Canadian Journal of Chemical Engineering. 69: 48–57.
  [8] Jiang, W. Tsui, K.-L and Woodall, W.H. (2000) A new SPC monitoring method: the ARMA chart, Technometrics 42: 399–410.
  [9] Jiang, W. (2007)” Average Run Length Computation of ARMA charts for Stationary Process, “computations in statistics- simulation and computation:, 30(3), 699-716.
  [10] Lu, C.W. and Reynolds, M.R , (1999) “ EWMA control charts for monitoring the of autocorrelated processes” Journal of Quality Technology, 31: 166-188
  [11] Lucas, J.M. and Saccucci M.S (1990) “Exponentially weighted moving average control schemes: properties and enhancements”, Technometrics 32: 1–12
  [12] Montgomery DC and Mastrangelo CM (1991) “Some statistical process control methods for correlated processes”. Technometrics 36: 3-17.
  [13] Poojalakshmi. P and Venkatesan, D (2019)” SPC Monitoring Method of FRAR Control Chart” Journal of Engineering and Applied Sciences’, Accepted in SCOPUS.
  [14] P.Poojalakshmi and D.Venkatesan (2018). “Time Series Models in Control Chart – A Review ”, International Journal of Advance and Innovative Research , Vol.6 pp. 98-102.
  [15] Venkatesan, D., Michele Gallo and Poojalakshmi, P. (2017), “New Family of Time Series Models and its Bayesian Analysis”, Biometrics & Biostatistics International Journal, 6 (4), 1-7.
  [16] Wardell, D. G., Moskowitz, H. and Plante, R. D. (1994b) “Run-length distributions of special-cause control charts for correlated processes. (With discussion)”. Technometrics 36, 3–27.
  [17] Wardell, D. G., Moskowitz, H. and. Plante R. D (1994a)” Run length distributions of residual control charts for autocorrelated processes”, Journal of Quality Technology 26, 308–317.
  [18] Zhang N.F. (1997)”Detection capability of residual control charts for stationary process data” Journal of Applied Statistics., 24: 475-492.
  [19] Zhang N.F., (1998) “A statistical control chart for stationary data”, Technometrics, 40: 24- 38.
  

  Citation
  P. Poojalakshmi, D. Venkatesan, "Residual FRAR Control Chart for Correlated Data," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.6, Issue.2, pp.222-227, 2019

• Open Access   Article

  Probability Analysis of the Rainfall of Dharmavaram Mandal of Anantapuramu District-It’s Best Fit

  B. Prathap Chowdary, K. Pusphanjali, M. C. Chandra Prasad

  Research Paper | Isroset-Journal (IJSRMSS)

  Vol.6 , Issue.2 , pp.228-232, Apr-2019

  CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v6i2.228232

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  Abstract
  This paper studies the probability analysis and estimation of Annual Maximum Monthly Rainfall (AMMR) for different return periods which is very useful for crop planning. We fit various distributions namely NORMAL, LOG NORMAL, LOG PEARSON and GUMBEL for the rainfall data of Dharmavaram Rain Gauge Station (RGS) in Anantapuramu district. Using goodness of fit we determine the best fit probability distribution for predicting the AMMR for different return periods. Based on the obtained numerical results, conclusions are drawn.

  Key-Words / Index Term
  AMMR, Rainfall, Probability distribustions, Goodness of fit, RGS

  References
  [1] Chow, V.T., 1964.handbook of applied hydrology.
  [2] Bhakar S. R., Iqbal M., Devanda M., Chhajed N., Bansal A. K., Probability analysis of rainfall at Kota, Indian J. Agri. Res, 2008, 42, 201 -206.
  [3] Subudhi R., Probability analysis for prediction of annual maximum daily rainfall of Chakapada block of Kandhamal district in Orissa, Indian J. Soil Conser, 2007, 35, 84-85.
  [4] M. T. Amin*, M. Rizwan, A. A. Alazba, A best-fit probability distribution for the estimation of rainfall in northern regions of Pakistan, Open Life Sci. 2016; 11: 432–440.
  [5] Kazi S. A., Khan M. L., Variability of rainfall and its bearing on agriculture in the arid and semi-arid zones of West Pakistan, Pak. Geographic Rev., 1951, 6 (1), 40-63.
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  Citation
  B. Prathap Chowdary, K. Pusphanjali, M. C. Chandra Prasad, "Probability Analysis of the Rainfall of Dharmavaram Mandal of Anantapuramu District-It’s Best Fit," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.6, Issue.2, pp.228-232, 2019

• Open Access   Article

  Designing Optimal Repetitive Sampling Plan Using Truncated Poisson distribution

  Subramani Kandasamy, Ambika Subramanian, Haridoss Venugopal

  Research Paper | Isroset-Journal (IJSRMSS)

  Vol.6 , Issue.2 , pp.233-238, Apr-2019

  CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v6i2.233238

  Abstract

  Full-Text HTML

  References

  Citation

  Abstract
  Acceptance sampling plan for attributes develop to control the quality, where both the consumers and the producers get benefit for better quality of the product. Repetitive group sampling plan is one of the most adoptable and cost effective sampling plan to get the product accepted with high quality level desired for production process. In this scenario overall risk to make wrong decision is reduced by considering the concept of truncation. Tables and a procedure for the acceptance and limiting level are developed to minimize the producers and consumers risks using the Truncated Poisson distribution. Optimality criteria are compared using Operating Characteristics curve with the already existing work.

  Key-Words / Index Term
  Attribute plan, OC curve, Producer’s Risk, consumer risk, Repetitive Group Sampling (RGS), Truncated Poisson Distribution

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  Citation
  Subramani Kandasamy, Ambika Subramanian, Haridoss Venugopal, "Designing Optimal Repetitive Sampling Plan Using Truncated Poisson distribution," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.6, Issue.2, pp.233-238, 2019