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Parameter estimation of Weibull-Exponential distribution under Type-I hybrid censored sample

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Abstract We have studied the problem of estimation of unknown parameters of a Weibull-Exponential distribution (WED) under Type-I hybrid censored data in this paper. The maximum likelihood estimates (MLE’s) are… Click to show full abstract

Abstract We have studied the problem of estimation of unknown parameters of a Weibull-Exponential distribution (WED) under Type-I hybrid censored data in this paper. The maximum likelihood estimates (MLE’s) are derived. Using asymptotic distributions property of MLE’s, we constructed asymptotic interval estimates. We derived Bayes estimates based on the squared error loss function using the Lindley method and Metropolis-Hastings (M-H) algorithm. Highest posterior density (HPD) credible intervals are also obtained. In each case, to compare the proposed estimates using simulations and illustrative example is also presented a numerical study is performed. Two data analysis has been performed for illustrative purposes.

Keywords: exponential distribution; type hybrid; weibull exponential; hybrid censored; estimation

Journal Title: Journal of King Saud University - Science
Year Published: 2019

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