Abstract Details
Activity Number:
|
133
|
Type:
|
Contributed
|
Date/Time:
|
Monday, August 4, 2014 : 8:30 AM to 10:20 AM
|
Sponsor:
|
Quality and Productivity Section
|
Abstract #311089
|
View Presentation
|
Title:
|
Generalized Inferences of R = Pr(X>Y) for Pareto Distribution
|
Author(s):
|
Sumith Gunasekera*+
|
Companies:
|
University of Tennessee at Chattanooga
|
Keywords:
|
Generalized p-value ;
Generalized test ;
Pareto distributio ;
Stress-Strength model ;
Reliability parameter
|
Abstract:
|
The problem of hypothesis testing and interval estimation based on the generalized variable method of the reliability parameter or the probability R=Pr(X>Y) of an item of strength X subject to a stress Y when X and Y are independent two-parameter Pareto distributed random variables is given. We discuss the use of p-value as a basis for hypothesis testing. There are no exact or approximate testing procedures and confidence intervals for reliability parameter for two-parameter Pareto stress-strength model available in the literature. A simulation study is given to illustrate the proposed generalized variable method. The generalized size, generalized adjusted and unadjusted powers of the test, generalized coverage probabilities are also discussed by comparing with their classical counterparts.
|
Authors who are presenting talks have a * after their name.
Back to the full JSM 2014 program
|
2014 JSM Online Program Home
For information, contact jsm@amstat.org or phone (888) 231-3473.
If you have questions about the Professional Development program, please contact the Education Department.
The views expressed here are those of the individual authors and not necessarily those of the JSM sponsors, their officers, or their staff.
Copyright © American Statistical Association.