Research Article

Estimation in Step-Stress Partially Accelerated Life Tests for the Power Lindley Distribution Under Progressive Censoring

Volume: 34 Number: 2 June 1, 2021
EN

Estimation in Step-Stress Partially Accelerated Life Tests for the Power Lindley Distribution Under Progressive Censoring

Abstract

In this study, inference for the power Lindley distribution under a step-stress partially accelerated life test based on progressive Type-II censoring scheme is studied. The maximum likelihood estimates of the parameters and acceleration factor is investigated with their corresponding approximate confidence intervals by using asymptotic theory. The performances of the estimators and their corresponding approximate confidence intervals are evaluated with simulation studies. A real data set is used to illustrate the estimation procedure. 

Keywords

References

  1. [1] Bai, D. S., Chung, S. W., Chun, Y. R., “Optimal design of partially accelerated life tests for the lognormal distribution under type I censoring”. Naval research logistics quarterly, 26(2): 223–235, (1993).
  2. [2] Balakrishnan, N., Aggarwala, R., “Progressive censoring: theory, methods, and applications.” Springer Science & Business Media. (2000).
  3. [3] Balakrishnan, N., Sandhu, R. A., “A simple simulational algorithm for generating progressive Type-II censored samples”. The American Statistician, 49(2):229–230, (1995).
  4. [4] Balakrishnan, N., Xie, Q., “Exact inference for a simple step-stress model with Type-I hybrid censored data from the exponential distribution”. Journal of Statistical Planning and Inference, 137(11):268–329, (2007).
  5. [5] DeGroot, M. H., Goel, P. K., “Bayesian estimation and optimal designs in partially accelerated life testing. Reliability Engineering & System Safety, 40(1): 85–92, (1979).
  6. [6] Epstein, B., “Truncated life tests in the exponential case”. The Annals of Mathematical Statistics, 555–564, (1954).
  7. [7] EL-Sagheer, R. M., Mahmoud, M. A., Nagaty, H., “Inferences for Weibull-Exponential Distri- bution Based on Progressive Type-II Censoring Under Step-Stress Partially Accelerated Life Test Model”. Journal of Statistical Theory and Practice, 13(1):14 (2019).
  8. [8] Ghitany, M. E., Al-Mutairi, D. K., Balakrishnan, N., Al-Enezi, L. J., “Power Lindley distribution and associated inference”. Computational Statistics & Data Analysis, 64:20–33, (2013).

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Publication Date

June 1, 2021

Submission Date

January 30, 2020

Acceptance Date

September 10, 2020

Published in Issue

Year 2021 Volume: 34 Number: 2

APA
Çetinkaya, Ç. (2021). Estimation in Step-Stress Partially Accelerated Life Tests for the Power Lindley Distribution Under Progressive Censoring. Gazi University Journal of Science, 34(2), 579-590. https://doi.org/10.35378/gujs.682499
AMA
1.Çetinkaya Ç. Estimation in Step-Stress Partially Accelerated Life Tests for the Power Lindley Distribution Under Progressive Censoring. Gazi University Journal of Science. 2021;34(2):579-590. doi:10.35378/gujs.682499
Chicago
Çetinkaya, Çağatay. 2021. “Estimation in Step-Stress Partially Accelerated Life Tests for the Power Lindley Distribution Under Progressive Censoring”. Gazi University Journal of Science 34 (2): 579-90. https://doi.org/10.35378/gujs.682499.
EndNote
Çetinkaya Ç (June 1, 2021) Estimation in Step-Stress Partially Accelerated Life Tests for the Power Lindley Distribution Under Progressive Censoring. Gazi University Journal of Science 34 2 579–590.
IEEE
[1]Ç. Çetinkaya, “Estimation in Step-Stress Partially Accelerated Life Tests for the Power Lindley Distribution Under Progressive Censoring”, Gazi University Journal of Science, vol. 34, no. 2, pp. 579–590, June 2021, doi: 10.35378/gujs.682499.
ISNAD
Çetinkaya, Çağatay. “Estimation in Step-Stress Partially Accelerated Life Tests for the Power Lindley Distribution Under Progressive Censoring”. Gazi University Journal of Science 34/2 (June 1, 2021): 579-590. https://doi.org/10.35378/gujs.682499.
JAMA
1.Çetinkaya Ç. Estimation in Step-Stress Partially Accelerated Life Tests for the Power Lindley Distribution Under Progressive Censoring. Gazi University Journal of Science. 2021;34:579–590.
MLA
Çetinkaya, Çağatay. “Estimation in Step-Stress Partially Accelerated Life Tests for the Power Lindley Distribution Under Progressive Censoring”. Gazi University Journal of Science, vol. 34, no. 2, June 2021, pp. 579-90, doi:10.35378/gujs.682499.
Vancouver
1.Çağatay Çetinkaya. Estimation in Step-Stress Partially Accelerated Life Tests for the Power Lindley Distribution Under Progressive Censoring. Gazi University Journal of Science. 2021 Jun. 1;34(2):579-90. doi:10.35378/gujs.682499

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