Bayesian Estimation for Discrete Chen Distribution

Abstract

In this study, Bayesian estimation is discussed for the Discrete Chen Distribution. It is tedious to find the Bayesian estimation so we used Tierney-Kadane approximation to get the approximate Bayesian estimates. Simulation study is performed to monitor the performance of estimates. A numerical example is also provided.

Keywords

• Bayes estimation,Discrete Chen Distribution,Tierney Kadane approximation

Kesikli Chen Dağılımı için Bayes Tahmini

Abstract

Bu çalışmada, Kesikli Chen dağılımı için bayes tahmini incelenmiştir. Bayes tahmin edicilerini elde etmek zor olduğundan Bayes tahminlerinin yaklaşık değerleri Tierney-Kadane yaklaşımı kullanılarak elde edilmiştir. Tahmin edicilerin performansını gözlemlemek için simülasyon çalışmaları yapılmıştır. Ayrıca sayısal bir örnek verilmiştir.

Keywords

• Bayes estimation,Discrete Chen Distribution,Tierney Kadane approximation

References

1. Danish MY, Aslam M (2013). Bayesian analysis of randomly censored generalized exponential distribution, Austrian Journal of Statistics 42(1), 47–62.
2. Jazi MA, Lai CD, Alamatsaz MH (2009). A discrete inverse weibull distribution and estimation of its parameters, Statistical Methodology 7, 121–132.
3. Khan MSA, Khalique A, Abouammoh AM (1989). On estimating parameters in a discrete weibull distribution, IEEE Transactions on Reliability 38(3), 348–350.
4. Krishna, H, & Pundir, P S (2007). Discrete Maxwell Distribution. Interstat. Retrieved from http://interstat.statjournals.net/YEAR/2007/abstracts/0711003.php
5. Krishna H, Pundir PS (2009). Discrete burr and discrete pareto distributions, Statistical Methodology 6, 177–188.
6. Nakagawa T, Osaki S (1975). This discrete weibull distribution, IEEE Transactions on Reliability 24, 300–301.
7. Noughabi MS, Rezaei Roknabadi AHR, Borzadaran GRM (2013), Some Discrete Lifetime Distributions with Bathtub-Shaped Hazard Rate Functions, Quality Engineering, 25:3, 225-236.
8. Roy D (2003). The discrete normal distribution, Communications in Statistics Theory and Methods 32(10), 1871–1883.

9. Roy D (2004). Discrete rayleigh distribution, IEEE Transactions on Reliability 53(2), 255–260.