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
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- [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] 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] 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] Epstein, B., “Truncated life tests in the exponential case”. The Annals of Mathematical Statistics, 555–564, (1954).
- [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] 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
Authors
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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