Inference on a Multicomponent Stress-Strength Model Based on Unit-Burr III Distributions

Devendra Pratap Singh (), Mayank Kumar Jha (), Yogesh Mani Tripathi () and Liang Wang ()
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Devendra Pratap Singh: Indian Institute of Technology Patna
Mayank Kumar Jha: Indian Institute of Technology Patna
Yogesh Mani Tripathi: Indian Institute of Technology Patna
Liang Wang: Yunnan Normal University

Annals of Data Science, 2023, vol. 10, issue 5, No 8, 1329-1359

Abstract: Abstract We make inference for a multicomponent stress-strength (MS) model under type-II censoring. It is assumed that lifetimes of strength and stress components follow unit Burr III distributions. Maximum likelihood estimator of MS parameter is obtained under a common shape parameter and in sequel approximate confidence intervals are constructed. Pivotal quantities based inference is also discussed. The case of unequal common parameters is considered as well and various inferences are derived. In addition, likelihood ratio tests are constructed to test the equivalence of parameters of interest. We conduct a simulation study to examine the behavior of proposed estimation procedures. A real data set is also analyzed from application viewpoint.

Keywords: Multicomponent stress-strength model; Unit Burr III distribution; Maximum likelihood estimation; Pivotal quantities; Asymptotic theory (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s40745-022-00429-1

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