Inference on Weibull inverted exponential distribution under progressive first-failure censoring with constant-stress partially accelerated life test

Abdullah Fathi (), Al-Wageh A. Farghal and Ahmed A. Soliman
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Abdullah Fathi: South Valley University
Al-Wageh A. Farghal: Sohag University
Ahmed A. Soliman: Sohag University

Statistical Papers, 2024, vol. 65, issue 8, No 9, 5053 pages

Abstract: Abstract Accelerated life tests (ALTs) play a pivotal role in life testing experiments as they significantly reduce costs and testing time. Hence, this paper investigates the statistical inference issue for the Weibull inverted exponential distribution (WIED) under the progressive first-failure censoring (PFFC) data with the constant-stress partially ALT (CSPALT) under progressive first-failure censoring (PFFC) data for Weibull inverted exponential distribution (WIED). For classical inference, maximum likelihood (ML) estimates for both the parameters and the acceleration factor are derived. Making use of the Fisher information matrix (FIM), asymptotic confidence intervals (ACIs) are constructed for all parameters. Besides, two parametric bootstrap techniques are implemented. For Bayesian inference based on a proposed technique for eliciting the hyperparameters, the Markov chain Monte Carlo (MCMC) technique is provided to acquire Bayesian estimates. In this context, the Bayesian estimates are obtained under symmetric and asymmetric loss functions, and the corresponding credible intervals (CRIs) are constructed. A simulation study is carried out to assay the performance of the ML, bootstrap, and Bayesian estimates, as well as to compare the performance of the corresponding confidence intervals (CIs). Finally, real-life engineering data is analyzed for illustrative purposes.

Keywords: Weibull inverted exponential distribution; Constant-stress partially accelerated life test; Asymptotic confidence intervals; Parametric bootstrap methods; MCMC technique (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s00362-024-01583-9

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