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Bayesian Estimation for Discrete Chen Distribution

Year 2016, Volume: 42 Issue: 2, 144 - 148, 28.10.2016

İsmail Kınacı Kadir Karakaya Yunus Akdoğan Coşkun Kuş

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

References

  • Danish MY, Aslam M (2013). Bayesian analysis of randomly censored generalized exponential distribution, Austrian Journal of Statistics 42(1), 47–62.
  • Jazi MA, Lai CD, Alamatsaz MH (2009). A discrete inverse weibull distribution and estimation of its parameters, Statistical Methodology 7, 121–132.
  • Khan MSA, Khalique A, Abouammoh AM (1989). On estimating parameters in a discrete weibull distribution, IEEE Transactions on Reliability 38(3), 348–350.
  • Krishna, H, & Pundir, P S (2007). Discrete Maxwell Distribution. Interstat. Retrieved from http://interstat.statjournals.net/YEAR/2007/abstracts/0711003.php
  • Krishna H, Pundir PS (2009). Discrete burr and discrete pareto distributions, Statistical Methodology 6, 177–188.
  • Nakagawa T, Osaki S (1975). This discrete weibull distribution, IEEE Transactions on Reliability 24, 300–301.
  • Noughabi MS, Rezaei Roknabadi AHR, Borzadaran GRM (2013), Some Discrete Lifetime Distributions with Bathtub-Shaped Hazard Rate Functions, Quality Engineering, 25:3, 225-236.
  • Roy D (2003). The discrete normal distribution, Communications in Statistics Theory and Methods 32(10), 1871–1883.
  • Roy D (2004). Discrete rayleigh distribution, IEEE Transactions on Reliability 53(2), 255–260.

Kesikli Chen Dağılımı için Bayes Tahmini

Year 2016, Volume: 42 Issue: 2, 144 - 148, 28.10.2016

İsmail Kınacı Kadir Karakaya Yunus Akdoğan Coşkun Kuş

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

  • Danish MY, Aslam M (2013). Bayesian analysis of randomly censored generalized exponential distribution, Austrian Journal of Statistics 42(1), 47–62.
  • Jazi MA, Lai CD, Alamatsaz MH (2009). A discrete inverse weibull distribution and estimation of its parameters, Statistical Methodology 7, 121–132.
  • Khan MSA, Khalique A, Abouammoh AM (1989). On estimating parameters in a discrete weibull distribution, IEEE Transactions on Reliability 38(3), 348–350.
  • Krishna, H, & Pundir, P S (2007). Discrete Maxwell Distribution. Interstat. Retrieved from http://interstat.statjournals.net/YEAR/2007/abstracts/0711003.php
  • Krishna H, Pundir PS (2009). Discrete burr and discrete pareto distributions, Statistical Methodology 6, 177–188.
  • Nakagawa T, Osaki S (1975). This discrete weibull distribution, IEEE Transactions on Reliability 24, 300–301.
  • Noughabi MS, Rezaei Roknabadi AHR, Borzadaran GRM (2013), Some Discrete Lifetime Distributions with Bathtub-Shaped Hazard Rate Functions, Quality Engineering, 25:3, 225-236.
  • Roy D (2003). The discrete normal distribution, Communications in Statistics Theory and Methods 32(10), 1871–1883.
  • Roy D (2004). Discrete rayleigh distribution, IEEE Transactions on Reliability 53(2), 255–260.
There are 9 citations in total.

Details

Journal Section Research Articles
Authors

İsmail Kınacı

Kadir Karakaya

Yunus Akdoğan

Coşkun Kuş

Publication Date October 28, 2016
Submission Date February 2, 2017
Published in Issue Year 2016 Volume: 42 Issue: 2

Cite

APA Kınacı, İ., Karakaya, K., Akdoğan, Y., Kuş, C. (2016). Kesikli Chen Dağılımı için Bayes Tahmini. Selçuk Üniversitesi Fen Fakültesi Fen Dergisi, 42(2), 144-148.
AMA Kınacı İ, Karakaya K, Akdoğan Y, Kuş C. Kesikli Chen Dağılımı için Bayes Tahmini. sufefd. October 2016;42(2):144-148.
Chicago Kınacı, İsmail, Kadir Karakaya, Yunus Akdoğan, and Coşkun Kuş. “Kesikli Chen Dağılımı için Bayes Tahmini”. Selçuk Üniversitesi Fen Fakültesi Fen Dergisi 42, no. 2 (October 2016): 144-48.
EndNote Kınacı İ, Karakaya K, Akdoğan Y, Kuş C (October 1, 2016) Kesikli Chen Dağılımı için Bayes Tahmini. Selçuk Üniversitesi Fen Fakültesi Fen Dergisi 42 2 144–148.
IEEE İ. Kınacı, K. Karakaya, Y. Akdoğan, and C. Kuş, “Kesikli Chen Dağılımı için Bayes Tahmini”, sufefd, vol. 42, no. 2, pp. 144–148, 2016.
ISNAD Kınacı, İsmail et al. “Kesikli Chen Dağılımı için Bayes Tahmini”. Selçuk Üniversitesi Fen Fakültesi Fen Dergisi 42/2 (October 2016), 144-148.
JAMA Kınacı İ, Karakaya K, Akdoğan Y, Kuş C. Kesikli Chen Dağılımı için Bayes Tahmini. sufefd. 2016;42:144–148.
MLA Kınacı, İsmail et al. “Kesikli Chen Dağılımı için Bayes Tahmini”. Selçuk Üniversitesi Fen Fakültesi Fen Dergisi, vol. 42, no. 2, 2016, pp. 144-8.
Vancouver Kınacı İ, Karakaya K, Akdoğan Y, Kuş C. Kesikli Chen Dağılımı için Bayes Tahmini. sufefd. 2016;42(2):144-8.

Journal Owner: On behalf of Selçuk University Faculty of Science, Rector Prof. Dr. Metin AKSOY
Selcuk University Journal of Science Faculty accepts articles in Turkish and English with original results in basic sciences and other applied sciences. The journal may also include compilations containing current innovations.

It was first published in 1981 as "S.Ü. Fen-Edebiyat Fakültesi Dergisi" and was published under this name until 1984 (Number 1-4).
In 1984, its name was changed to "S.Ü. Fen-Edeb. Fak. Fen Dergisi" and it was published under this name as of the 5th issue.
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