INFERENCE ON P(X < Y ) FOR EXPONENTIATED FAMILY OF DISTRIBUTIONS

INFERENCE ON P(X < Y ) FOR EXPONENTIATED FAMILY OF DISTRIBUTIONS

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...

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Veröffentlicht in:Pakistan journal of statistics and operation research 2011-07, Vol.7 (2), p.109
Hauptverfasser: Maiti, Sudhansu S, Murmu, Sudhir
Format: Artikel
Sprache:eng
Schlagworte:
Approximation
Bayesian analysis
Confidence intervals
Estimators
Inference
Operations research
Simulation
Statistics
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Zusammenfassung: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.
ISSN:1816-2711
2220-5810
DOI:10.18187/pjsor.v7i2.208