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- Title
Inferences on Stress-Strength Reliability from Inverse Weibull Distribution based on First-Failure Progressively Unified Hybrid Censoring Schemes.
- Authors
Junmei Jia; Zaizai Yan; Xiuyun Peng
- Abstract
In this paper, we discuss the estimation of the stress-strength parameter δ = P(X < Y) based on first-failure progressively unified hybrid censored samples, where X and Y are two independent inverse Weibull distributions with the same shape parameters but having different scale parameters. The maximum likelihood estimate of δ is obtained. The asymptotic distribution of δ is used to construct the asymptotic MLE confidence interval. Two bootstrap confidence intervals are constructed. We obtain the Bayes estimate and corresponding HPD credible interval of δ is also constructed using the Metropolis-Hasting algorithm. The performance of the proposed estimate methods are compared by Monte Carlo simulations. Finally, analysis of two data sets have been presented for illustrative purposes.
- Subjects
MONTE Carlo method; WEIBULL distribution; BAYES' estimation; ASYMPTOTIC distribution; MAXIMUM likelihood statistics; CENSORSHIP
- Publication
IAENG International Journal of Applied Mathematics, 2021, Vol 51, Issue 4, p899
- ISSN
1992-9978
- Publication type
Article