Full Paper View Go Back

A New Generalization of Ailamujia Distribution with Applications in Bladder Cancer Data

B. Jayakumar1 , R. Elangovan2

Section:Research Paper, Product Type: Isroset-Journal
Vol.6 , Issue.1 , pp.61-68, Feb-2019


CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v6i1.6168


Online published on Feb 28, 2019


Copyright © B. Jayakumar, R. Elangovan . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

View this paper at   Google Scholar | DPI Digital Library


XML View     PDF Download

How to Cite this Paper

  • IEEE Citation
  • MLA Citation
  • APA Citation
  • BibTex Citation
  • RIS Citation

IEEE Style Citation: B. Jayakumar, R. Elangovan, “A New Generalization of Ailamujia Distribution with Applications in Bladder Cancer Data,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.6, Issue.1, pp.61-68, 2019.

MLA Style Citation: B. Jayakumar, R. Elangovan "A New Generalization of Ailamujia Distribution with Applications in Bladder Cancer Data." International Journal of Scientific Research in Mathematical and Statistical Sciences 6.1 (2019): 61-68.

APA Style Citation: B. Jayakumar, R. Elangovan, (2019). A New Generalization of Ailamujia Distribution with Applications in Bladder Cancer Data. International Journal of Scientific Research in Mathematical and Statistical Sciences, 6(1), 61-68.

BibTex Style Citation:
@article{Jayakumar_2019,
author = {B. Jayakumar, R. Elangovan},
title = {A New Generalization of Ailamujia Distribution with Applications in Bladder Cancer Data},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {2 2019},
volume = {6},
Issue = {1},
month = {2},
year = {2019},
issn = {2347-2693},
pages = {61-68},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1141},
doi = {https://doi.org/10.26438/ijcse/v6i1.6168}
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
DO = {https://doi.org/10.26438/ijcse/v6i1.6168}
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1141
TI - A New Generalization of Ailamujia Distribution with Applications in Bladder Cancer Data
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - B. Jayakumar, R. Elangovan
PY - 2019
DA - 2019/02/28
PB - IJCSE, Indore, INDIA
SP - 61-68
IS - 1
VL - 6
SN - 2347-2693
ER -

647 Views    419 Downloads    109 Downloads
  
  

Abstract :
In this paper, a new probability model called as Area Biased Weighted Ailamujia Distribution (ABAD) with applications in bladder cancer data has been derived. Structural properties of this new distribution are discussed comprehensively and the parameters have been estimated using maximum likelihood method. Finally, the model is examined with bladder cancer data set for significance purpose and the fit has been found to be good.

Key-Words / Index Term :
Ailamujia distribution, Reliability Analysis, Order Statistics, Maximum Likelihood Estimation, Bladder Cancer data.

References :
[1] B. Long, (2015) Bayesian estimation of parameter on Эрлангa distribution under different prior distribution. Mathematics in Practice & Theory. (4), 186-192.
[2] Fisher, R. A., (1934), The effects of methods of ascertainment upon the estimation of frequencies. Annals of Eugenics, 6, 13-25.
[3] G. T. Pan, B. H. Wang, C. L. Chen, Y. B. Huang & M. T. Dang, (2009), The research of interval estimation and hypothetical test of small sample of Эрланга distribution. Application of Statistics and Management, 28(3), 468-472.
[4] H. Q. Lv, L. H. Gao & C. L. Chen, (2002)., Эрланга distribution and its application in supportability data analysis. Journal of Academy of Armored Force Engineering. 16(3), 48-52.
[5] L. P. Li, (2016) Minimax estimation of the parameter of ЭРланга distribution under different loss functions, Science Journal of Applied Mathematics and Statistics. 4(5), 229-235.
[6] Lappi J, Bailey RL., (1987), Estimation of diameter increment function or other tree relations using angle-count samples, Forest science 33: 725-739.
[7] Lee, E. T. and Wang, J. W(2003). Statistical Methods for Survival data Analysis, 3 ed, John Willey, New York.
[8] Para, B. A., & Jan, T.R., (2018), On Three Parameter Weighted Pareto Type II Distribution: Properties and Applications in Medical Sciences. Applied Mathematics & Information Sciences Letters, 6(1), 13-26.
[9] Rao, C. R., (1965), “On discrete distributions arising out of method of ascertainment, in classical and Contagious Discrete”, G.P. Patiled; Pergamum Press and Statistical publishing Society, Calcutta. 320-332.
[10] Rather, A. A., and Subramanian, C., (2018), Transmuted Mukherjee-Islam failure model, Journal of Statistics Applications & Probability, 7(2), 343-347.
[11] Rather, A. A., Subramanian, C., Shafi, S., Malik, K. A., Ahmad, P. J., Para, B. A., and Jan, T. R. (2018), "A new Size Biased Distribution with applications in Engineering and Medical Science", International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.5, Issue.4, pp.75-85.
[12] Uzma Jan, Kawsar Fatima and S. P. Ahmad., (2017) On Weighted Ailamujia Distribution and Its Applications to Lifetime Data, J. Stat. Appl. Pro. 6, No. 3, 619-633.
[13] Van Deusen P.C., (1986), Fitting assumed distributions to horizontal point sample diameters. For Sci 32(1): 146-148.

Authorization Required

 

You do not have rights to view the full text article.
Please contact administration for subscription to Journal or individual article.
Mail us at  support@isroset.org or view contact page for more details.

Go to Navigation