Statistical Inference for the Lomax Distribution under Partially Accelerated Life Tests with Progressively Type-II Censoring with Binomial Removal

Authors

  • Roshanak Zaman
  • Parviz Nasiri
  • Ali Shadrokh

Keywords:

Binomial censoring scheme, EM algorithm, Lomax distribution, Maximum likelihood estimator, Optimum design, Partially accelerated life tests, Step-Stress , Type II progressive censoring.

Abstract

In this paper a step-stress Partially Accelerated Life Test (SSPALT) is obtained for Lomax distribution under progressive Type II censoring with random removals, assuming that the number of units removed at each failure time has a binomial distribution. The maximum likelihood estimators (MLEs) are derived using the expectation-maximization (EM) algorithm. The Confidence intervals for the model parameters are constructed. SSPALT plan is used to minimize the Generalized Asymptotic Variance (GAV) of the ML estimators of the model parameters. We explain the performance of our procedures using a simulation study.

Key words and phrases. Binomial censoring scheme, EM algorithm, Lomax distribution, Maximum likelihood estimator, Optimum design, Partially accelerated life tests, Step-Stress , Type II progressive censoring.

2000 Mathematics Subject Classification. 40H05, 46A45

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Published

2025-05-18

How to Cite

Roshanak Zaman, Parviz Nasiri, & Ali Shadrokh. (2025). Statistical Inference for the Lomax Distribution under Partially Accelerated Life Tests with Progressively Type-II Censoring with Binomial Removal. Jordan Journal of Mathematics and Statistics, 13(3), 439–458. Retrieved from https://jjms.yu.edu.jo/index.php/jjms/article/view/900

Issue

Vol. 13 No. 3 (2020)

Section

Articles