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