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Activity Number: 78
Type: Contributed
Date/Time: Sunday, August 3, 2014 : 4:00 PM to 5:50 PM
Sponsor: Section on Statistical Computing
Abstract #312255
Title: Comparing Two Quantiles: The Burr-Type-X and Weibull Cases
Author(s): Mohammed Shayib*+
Companies: Prairie View A&M University
Keywords: Quartiles ; Burr Type XII ; Weibull ; Interval Estimation ; Simulation
Abstract:

COMPARING TWO QUANTILES: THE BURR-TYPE-X AND WEIBULL CASES

MOHAMMED A. SHAYIB mashayib@pvamu.edu ALIAKBAR MONTAZER HAGHIGHI amhaghighi@pvamu.edu

Department of Mathematics Prairie View A&M University Prairie View, Texas 77446 USA

ABSTRACT

Interval estimation and hypothesis testing for the difference between two quantiles are investigated in this article. The underlying distributions that will be considered are the Weibull and Burr type X. The estimation procedures will be based on the generalized confidence interval procedure, while the hypothesis testing will be based on the generalized p-values procedure. Simulation will be carried to check on the accuracy of both procedures. In addition, a check will be made on the reliability of the system based on these quantiles.


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