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On Random Censored Exponential Distribution

The Exponential distribution has attracted the attention of statisticians working on theory and methods as well as in various fields of lifetime data analysis. In this study, we employ gamma non-informative prior and generalised (data-dependent) non-informative prior proposed by Guure and Ibrahim (2012) using squared error loss function. The Bayesian estimate of the scale parameter of the Exponential distribution is obtained by making use of Lindley's approximation procedure and compared with the classical maximum likelihood estimator. Mean Squared Error (MSE) and the absolute bias of the estimators are determined via simulation study for the purpose of comparison. It has been observed from the simulation study that, Bayes estimator with the generalised non- informative prior outperformed the gamma non-informative prior and the classical maximum likelihood estimator.