Statistical Inference for the Rayleigh distribution under progressively Type-II censoring with binomial removal |
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Authors: | Sanku Dey Tanujit Dey |
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Institution: | 1. Department of Statistics, St. Anthony’s College, Shillong, Meghalaya, India;2. Department of Mathematics, The College of William & Mary, Williamsburg, VA, USA |
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Abstract: | This paper takes into account the estimation for the unknown parameter of the Rayleigh distribution under Type II progressive censoring with binomial removals, where the number of units removed at each failure time follows a binomial distribution. Maximum likelihood and Bayes procedure are used to derive both point and interval estimates of the parameters involved in the model. The expected termination point to complete the censoring test is computed and analyzed under binomial censoring scheme. Numerical examples are given to illustrate the approach by means of Monte Carlo simulation. A real life data set is used for illustrative purposes in conclusion. |
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Keywords: | Rayleigh distribution Maximum likelihood estimator Bayes estimator Binomial censoring scheme Type II progressive censoring Expected termination point |
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