Inference On P(X < Y ) For Exponentiated Family Of Distributions

Inference On P(X < Y ) For Exponentiated Family Of Distributions

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Article ID: iaor20118323
Volume: 7
Issue: 2
Start Page Number: 109
End Page Number: 138
Publication Date: Apr 2011
Journal: Pakistan Journal of Statistics and Operation Research
Authors: ,
Keywords: Bayesian analysis, maximum likelihood estimation
Abstract:

Inference on R = P(X < Y ) has been considered when X and Y belong to independent exponentiated family of distributions. Maximum Likelihood Estimator (MLE), Uniformly Minimum Variance Unbiased Estimator (UMVUE) and Bayes Estimator of R has been derived and compared through simulation study. Exact and approximate confidence intervals and Bayesian credible intervals have also been derived.

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