The Blackwell-Rao and Lehmann-Scheffé theorems are used to derive the minimum variance s-unbiased estimator of P ≡ Pr{Y < X} when the s-independent r.v.'s X and Y follow the 2-parameter Pareto distribution using censored samples. Estimators of P are also obtained using Bayesian and maximum likelihood methods. Performance of the three estimators for moderate samples is studied by Monte Carlo simulation. Copyright © 1979 by the Institute of Electrical and Electronics Engineers, Inc.
CITATION STYLE
Beg, M. A., & Singh, N. (1979). Estimation of Pr (Y< X) for the Pareto Distribution. IEEE Transactions on Reliability, R-28(5), 411–414. https://doi.org/10.1109/TR.1979.5220665
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