Journals / Hacettepe Journal of Mathematics and Statistics / 2017 / Cilt: 46 - Sayı: 5

Bayesian inference for the Pareto lifetime model in the presence of outliers under progressive censoring with binomial removals

Pages
887–904
Publication Date
2022-10-18
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

In the last, we have given examples with real data.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Here we have used Type II progressive censoring with random removal for the Pareto lifetime model in the presence of outliers.
📊
Key Findings & Data:The number of units removed at each failure time follows a Binomial distribution.
💡
Conclusion & Impact:In the last, we have given examples with real data.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Pareto distribution · Bayesian estimation · Prior

Abstract

Here we have used Type II progressive censoring with random removal for the Pareto lifetime model in the presence of outliers. The number of units removed at each failure time follows a Binomial distribution. The analysis is based on Bayesian approach. In the last, we have given examples with real data.

🔖

Cite This Article

DİXİT, U. J., NOOGHABİ, M. J. (2022). Bayesian inference for the Pareto lifetime model in the presence of outliers under progressive censoring with binomial removals. Hacettepe Journal of Mathematics and Statistics, Cilt: 46 - Sayı: 5, 887–904. https://ajindex.com/articles/529928

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (4)

  1. M. Abramowitz and I.A. Stegun, Handbook of Mathematical Functions, Dover, NewYork, 1965.
  2. Zeinab H. Amin, Bayesian inference for the Pareto lifetime model under progressive cen- soring with binomial removals, Journal of Applied Statistics 35(11) (2008), pp. 12031217. B.C. Arnold and S.J. Press, Bayesian inference for Pareto populations, J. Econ. 21 (1983), pp. 287306. B.C. Arnold and S.J. Press, Bayesian estimation and prediction for Pareto data, J. Amer. Statist. Assoc. 84 (1989), pp. 10791084. N. Balakrishnan and R. Aggarwalla, Progressive Censoring: Theory, Methods and Applica- tions, Birkhauser, Boston, 2000.
  3. J.M. Berger and B. Mandelbrot, A new model for error clustering in telephone circuits, IBM J. Res. Develop. 7 (1963), pp. 224236. A.C. Cohen, Progressively censored samples in lifetesting, Technometrics 5 (1963), pp. 327 339. H.T. Davis and M.L. Feldstein, The generalized Pareto law as a model for progressively censored survival data, Biometrika 66 (1979), pp. 299306. U.J. Dixit, Estimation of parameters of the Gamma Distribution in the presence of Outliers, Commun. Statist. Theory and Meth. 18 (1989), pp. 30713085. U.J. Dixit, M.M. Ali and Jungsoo Woo, E cient Estimation of parameters of a uniform distribution in the presence of outliers, Soochow Journal of Mathematics, 29(4) (2003), pp. 363369. U.J. Dixit and M. Jabbari Nooghabi, E cient estimation in the Pareto distribution with the presence of outliers, Statistical Methodology, 8(4) (2011), 340355. U.J. Dixit and M. Jabbari Nooghabi, E cient Estimation of the parameters of the Pareto Distribution in the Presence of Outliers, Communications of the Korean Statistical Society, 18(6) (2011), 817835. U.J. Dixit, K.L. Moore and V. Barnett, On the estimation of the scale parameter of the exponential distribution in the presence of outliers generated from uniform distribution, Metron, LIV(3-4) (1996), pp. 201211. U.J. Dixit and F.P. Nasiri, Estimation of parameters of the exponential distribution in the presence of outliers generated from uniform distribution, Metron, LIX(3-4) (2001), pp. 187 198. I.R. Dunsmore and Z.H. Amin, Bayesian prediction and tolerance regions in Pareto popu- lations, Proceedings of the ninth annual conference on Statistics and Computer modeling in Human and Social Sciences, Cairo University, Cairo, Egypt, 1997.
  4. I.R. Dunsmore and Z.H. Amin, Some prediction problems concerning samples from the Pareto distribution, Comm. Statist. 27 (1998), pp. 12211238. E.C. Freiling