This is the program for the 2010 Joint Statistical Meetings in Vancouver, British Columbia.

Abstract Details

Activity Number: 635
Type: Contributed
Date/Time: Thursday, August 5, 2010 : 8:30 AM to 10:20 AM
Sponsor: Section on Statistical Computing
Abstract - #308361
Title: Conditional Moments of P(Y
Author(s): Mohammed A. Shayib*+ and Aliakbar Montazer Haghighi
Companies: Prairie View A&M University and Prairie View A&M University
Address: MATHEMATICS, PVAMU, Prairie View, TX, 77446-0519,
Keywords: Reliability ; Moments ; Conditional Distributions ; Exponential Distribution ; Burr Type X Distributions
Abstract:

The estimation of R = P (Y< X), when X and Y are independent and identically distributed random variables, has been extensively studied in the literature. Distribution functions such as Normal, Burr Type X, Exponential, Gamma, Weibull, logistic, and Extreme Value have been considered. The expressions to estimate R have been expressed as function of positive parameters from the assumed distribution. No article yet has considered the expression for R as a random variable by itself. In this report, we consider some distributions with one parameter identifying each of them The object is to derive the conditional probability density function (PDF) of R under the assumption that the parameter, of the distribution under investigation, is itself a random variable with some specified PDF. Once the PDF of R is derived, its moments and other properties are investigated.


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