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Estimation procedures for Maxwell distribution under type-I progressive hybrid censoring scheme. (English) Zbl 1457.62323
Summary: The Maxwell (or Maxwell-Boltzmann) distribution was invented to solve the problems relating to physics and chemistry. It has also proved its strength of analysing the lifetime data. For this distribution, we consider point and interval estimation procedures in the presence of type-I progressively hybrid censored data. We obtain maximum likelihood estimator of the parameter and provide asymptotic and bootstrap confidence intervals of it. The Bayes estimates and Bayesian credible and highest posterior density intervals are obtained using inverted gamma prior. The expression of the expected number of failures in life testing experiment is also derived. The results are illustrated through the simulation study and analysis of a real data set is presented.

62N05 Reliability and life testing
62F10 Point estimation
62F15 Bayesian inference
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