Abstract
In this paper, we consider the shape parameter for the exponentiated half logistic distribution (ExHL) when samples are generalized type I hybrid censored samples. The shape parameter for the ExHL is estimated by the Bayesian method. We consider conjugate prior and corresponding posterior distribution is obtained. We also obtain the maximum likelihood estimator (MLE) of the shape parameter under the generalized type I hybrid censored samples (GenT1HCs). We compare the estimators in the sense of the root mean square error (RMSE). The simulation procedure is repeated 1,000 times for the sample size n = 20, 30, 40 and various generalized type I hybrid censored samples. Finally, a real data set has been analysed for illustrative purpose.
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