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Activity Number: 423
Type: Contributed
Date/Time: Wednesday, August 1, 2007 : 10:30 AM to 12:20 PM
Sponsor: Section on Statistical Computing
Abstract - #310276
Title: Preferred Distribution Function for Estimating P(Y< X)
Author(s): Mohammed A. Shayib*+ and Aliakbar Haghighi
Companies: Prairie View A&M University and Prairie View A&M University
Address: Department of Mathematics, Prairie View, TX, 77446-0519,
Keywords: Reliability ; Probability Distributions ; MLE ; Populations' Parameters ; Samples' sizes ; Simulation
Abstract:

The estimation of P(Y < X), assuming X and Y to be independently and identically distributed random variables, has been extensively studied in the literature. Distribution functions such as Normal, Burr Type X, Exponential, Gamma and Weibull have been considered. In this paper, we consider same type of distributions. Utilizing the Maximum Likelihood Estimation method and using simulation we will estimate the unknown parameters of these distributions. To choose a preferred distribution, comparison among results will be made based on the ratio of the parameters and the sample size.

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Revised September, 2007