Preliminary test estimation of the parameters of exponential and Pareto distributions for censored samples |
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Authors: | B M Golam Kibria A K Md E Saleh |
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Institution: | (1) Department of Mathematics and Statistics, McMaster University, Hamilton, ON, Canada, L8S 4K1 |
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Abstract: | This paper deals with the preliminary test estimation (PTE) of the parameters of the exponential and Pareto distributions
in censored samples. The biases, risk functions, efficiency tables and the graphs for the relative efficiency for the proposed
estimators for the parameters of the exponential and Pareto distributions are given. We find that the proposed estimators
dominate the corresponding unrestricted (usual) estimators in the neighborhood of null hypothesis. The range of the parameters
for which the proposed estimators dominate the corresponding usual estimators for different sample sizes and level of significance
are given. The findings of the paper will be useful for the practitioners who are dealing with the censored samples in life
testing experiments. |
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Keywords: | |
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