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2014 | 15 | nr 3 | 403--426
Tytuł artykułu

Bayesian Inference for Exponentiated Pareto Model with Application to Bladder Cancer Remission Time

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Maximum likelihood and Bayes estimators of the unknown parameters and the expected experiment times of the exponentiated Pareto model have been obtained for progressive type-II censored data with binomial removal scheme. Markov Chain Monte Carlo (MCMC) method is used to compute the Bayes estimates of the parameters of interest. The generalized entropy loss function and squared error loss function have been considered for obtaining the Bayes estimators. Comparisons are made between Bayesian and maximum likelihood (ML) estimators via Monte Carlo simulation. The proposed methodology is illustrated through real data. (original abstract)
Rocznik
Tom
15
Numer
Strony
403--426
Opis fizyczny
Twórcy
  • Banaras Hindu University, India
autor
  • Banaras Hindu University, India
autor
  • Sharda University, Greater Noida
Bibliografia
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  • AFIFY, W. M., (2010). On estimation of the exponentiated Pareto distribution under different sample scheme. Applied Mathematical Sciences, 4(8):393- 402.
  • ARNOLD, B. C., PRESS, S. J., (1983). Bayesian inference for Pareto populations. J.Econom., 21:287-306.
  • BALAKRISHNAN, N., (2007). Progressive methodology: An appraisal (with discussion). Test, 16 (2):211-259.
  • BALAKRISHNAN, N., AGGARWALLA, R., (2000). Progressive Censoring: Theory, Methods and Applications. Birkhauser, Boston.
  • BALAKRISHNAN, N., KANNAN, N., (2001). Point and Interval Estimation for Parameters of the Logistic Distribution Based on Progressively Type-II Censored Samples, in Handbook of Statisticsm N. Balakrishnan and C. R. Rao, 20. Eds. Amsterdam, North-Holand.
  • CALABRIA, R., PULCINI, G., (1996). Point estimation under-asymmetric loss functions for life-truncated exponential samples. Commun. statist. Theory meth., 25(3):585-600.
  • CHILDS, A., BALAKRISHNAN, N., (2000). Conditional inference procedures for the Laplace distribution when the observed samples are Progressively censored. Metrika, 52:253-265.
  • COHEN, A. C., (1963). Progressively censored samples in life testing. Technometrics, pages 327-339.
  • EISSA, F. H., NASSAR, M. M.,(2004). Bayesian estimation for the exponentiated Weibull model. Communication in Statistics Theory and Methods, 33:2343-2236.
  • GUPTA, R. C., GUPTA, R. D., GUPTA, P. L., (1998). Modeling failure time data by Lehman alternatives. Commun. Statist. - Theory Meth., 27(4):887-904.
  • GUPTA, A., UPADHYAY, S. K., (2010). A Bayes analysis of modified Weibull distribution via Markov chain monte carlo simulation. Journal of Statistical Computation and Simulation, 80(3):241-254.
  • JAIN, M. K., IYENGAR, S. R. K., JAIN, R. K., (1984). Numerical Methods for Scientific and Engineering Computation. New Age International (P) Limited, Publishers, New Delhi, fifth edition.
  • JOHANSON, N. L., KOTZ, S., BALAKRISHNAN, N., (1994). Continuous Univariate Distributions, volume 1. Wiley, New York, 2 edition.
  • JUNG, J., CHUNG, Y., KIM, C.,(2011). Bayesian estimation for the exponentiated Weibull model under type II progressive censoring. Statistical Papers (accepted).
  • LEE, E. T., WANG, J. W.,(2003). Statistical Methods for Survival Data Analysis. Wiley, New York, 3rd edition.
  • LUZ, M. ZEA, SILVA RODRIGO, B., BOURGUIGNON, M., ANDREA, S., GAUSS COREIRO, M., (2012). The Beta Exponentiated Pareto Distribution with Application to Bladder Cancer Susceptibility. International Journal of Statistics and Probability, 1(2):8-19.
  • MOUSA, M., JAHEEN, Z., (2002). Statistical inference for the burr model based on progressively censored data. An International Computers and Mathematics with Applications,, 43:1441-1449.
  • NG, K., CHAN, P. S.,BALAKRISHAN, N.,(2002). Estimation of parameters from progressively censored data using an algorithm. Computational Statistics and Data Analysis, 39:371-386.
  • SHAWKY, A. I., HANNA, H. ABU-ZINADAH.,(2009). Exponentiated Pareto distribution: Different method of estimations. Int. J.Contemp. Math. Sciences, 4(14): 677-693.
  • VASISHTA, N., SMITH, A. F. M., UPADHYAY, S. K., (2001). Bayes inference in life testing and reliability via Markov chain Monte Carlo simulation. Sankhya, A 63(1):15-20.
  • WU, S. J., CHANG, C. T. (2002). Parameter estimations based on exponential progressive type II censored with binomial removals. International Journal of Information and Management Sciences, 13:37-46.
  • WU, S. J., CHANG, C. T., (2003). Inference in the Pareto distribution based on progressive type II censoring with random removales. Journal of Applied Statistics, 30:163-172.
  • YANG, C., TSE, S. K., YUEN, H. K., (2000). Statistical analysis of Weibull distributed life time data under type II progressive censoring with binomial removals. Journal of Applied Statistics, 27:1033-1043.
  • YUEN, H. K., TSE, S. K., (1996). Parameters estimation for Weibull distribution under progressive censoring with random removal. Journal Statis. Comput. Simul, 55:57-71.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.ekon-element-000171322693

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