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Technometrics Volume 30, 1988 - Issue 2
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Original Articles

Confidence Limits for Stress-Strength Models With Explanatory Variables

I. Guttman Department of Statistics, University of Toronto, Toronto, Ontario, M5S 1Al, Canada
,
R. A. Johnson Department of Statistics, University of Wisconsin, Madison, WI, 53706
,
G. K. Bhattacharyya Department of Statistics, University of Wisconsin, Madison, WI, 53706
&
B. Reiser Department of Statistics, University of Haifa, Haifa, Israel
Pages 161-168 | Published online: 23 Mar 2012
 
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Abstract

A lower confidence bound is obtained for Pr(Y > X|z 1, z 2), where X and Y are independent normal variables, with explanatory variables z 1 and z 2, respectively. For equal residual variances, an exact solution is obtained, but for the unequal variance case, an approximate lower confidence bound is developed. Examples of the use of these procedures are given.

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