Research Article

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

Volume: 46 Number: 5 October 1, 2017
EN

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

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.

Keywords

References

  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.
  3. B.C. Arnold and S.J. Press, Bayesian inference for Pareto populations, J. Econ. 21 (1983), pp. 287306.
  4. B.C. Arnold and S.J. Press, Bayesian estimation and prediction for Pareto data, J. Amer. Statist. Assoc. 84 (1989), pp. 10791084.
  5. N. Balakrishnan and R. Aggarwalla, Progressive Censoring: Theory, Methods and Applica- tions, Birkhauser, Boston, 2000.
  6. J.M. Berger and B. Mandelbrot, A new model for error clustering in telephone circuits, IBM J. Res. Develop. 7 (1963), pp. 224236.
  7. A.C. Cohen, Progressively censored samples in lifetesting, Technometrics 5 (1963), pp. 327 339.
  8. H.T. Davis and M.L. Feldstein, The generalized Pareto law as a model for progressively censored survival data, Biometrika 66 (1979), pp. 299306.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

October 1, 2017

Submission Date

October 29, 2010

Acceptance Date

September 22, 2014

Published in Issue

Year 2017 Volume: 46 Number: 5

APA
Dixit, U. J., & Nooghabi, M. J. (2017). Bayesian inference for the Pareto lifetime model in the presence of outliers under progressive censoring with binomial removals. Hacettepe Journal of Mathematics and Statistics, 46(5), 887-906. https://izlik.org/JA89RG93YB
AMA
1.Dixit UJ, Nooghabi MJ. Bayesian inference for the Pareto lifetime model in the presence of outliers under progressive censoring with binomial removals. Hacettepe Journal of Mathematics and Statistics. 2017;46(5):887-906. https://izlik.org/JA89RG93YB
Chicago
Dixit, U. J., and M. Jabbari Nooghabi. 2017. “Bayesian Inference for the Pareto Lifetime Model in the Presence of Outliers under Progressive Censoring With Binomial Removals”. Hacettepe Journal of Mathematics and Statistics 46 (5): 887-906. https://izlik.org/JA89RG93YB.
EndNote
Dixit UJ, Nooghabi MJ (October 1, 2017) Bayesian inference for the Pareto lifetime model in the presence of outliers under progressive censoring with binomial removals. Hacettepe Journal of Mathematics and Statistics 46 5 887–906.
IEEE
[1]U. J. Dixit and M. J. Nooghabi, “Bayesian inference for the Pareto lifetime model in the presence of outliers under progressive censoring with binomial removals”, Hacettepe Journal of Mathematics and Statistics, vol. 46, no. 5, pp. 887–906, Oct. 2017, [Online]. Available: https://izlik.org/JA89RG93YB
ISNAD
Dixit, U. J. - Nooghabi, M. Jabbari. “Bayesian Inference for the Pareto Lifetime Model in the Presence of Outliers under Progressive Censoring With Binomial Removals”. Hacettepe Journal of Mathematics and Statistics 46/5 (October 1, 2017): 887-906. https://izlik.org/JA89RG93YB.
JAMA
1.Dixit UJ, Nooghabi MJ. Bayesian inference for the Pareto lifetime model in the presence of outliers under progressive censoring with binomial removals. Hacettepe Journal of Mathematics and Statistics. 2017;46:887–906.
MLA
Dixit, U. J., and M. Jabbari Nooghabi. “Bayesian Inference for the Pareto Lifetime Model in the Presence of Outliers under Progressive Censoring With Binomial Removals”. Hacettepe Journal of Mathematics and Statistics, vol. 46, no. 5, Oct. 2017, pp. 887-06, https://izlik.org/JA89RG93YB.
Vancouver
1.U. J. Dixit, M. Jabbari Nooghabi. Bayesian inference for the Pareto lifetime model in the presence of outliers under progressive censoring with binomial removals. Hacettepe Journal of Mathematics and Statistics [Internet]. 2017 Oct. 1;46(5):887-906. Available from: https://izlik.org/JA89RG93YB