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

Yıl 2021, Cilt: 34 Sayı: 2, 579 - 590, 01.06.2021

Çağatay Çetinkaya

https://doi.org/10.35378/gujs.682499

Cited By: 6

Öz

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. 

Anahtar Kelimeler

Accelerated life test, Progressive censoring, Power lindley, Distribution, Maximum likelihood

Kaynakça

• [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] Balakrishnan, N., Aggarwala, R., “Progressive censoring: theory, methods, and applications.” Springer Science & Business Media. (2000).
• [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).
• [9] Ismail, A. A., “Inference for a step-stress partially accelerated life test model with an adaptive Type-II progressively hybrid censored data from Weibull distribution”. Journal of Computational and Applied Mathematics, 260:533–542, (2014).
• [10] Jodra, P., “Computer generation of random variables with Lindley or Poisson–Lindley dis- tribution via the Lambert W function”. Mathematics and Computers in Simulation, 81(4): 851–859, (2010).
• [11] Nelson, W. B., “Accelerated testing: statistical models, test plans, and data analysis (Vol. 344)”. John Wiley & Sons, (2009).
• [12] William Q. Meeker, “A Comparison of Accelerated Life Test Plans for Weibull and Lognormal Distributions and Type-I Censoring”. Technometrics, 26:2: 157–171, (1984).
• [13] Zhao, J., Shi, Y., Yan, W., “Inference for constant-stress accelerated life test with Type-I progressively hybrid censored data from Burr-XII distribution Journal of Systems Engineering and Electronics”, 25(2): 340–348, (2014).