Confidence limits for stress-strength models with explanatory variables

I. Guttman; R. A. Johnson; G. K. Bhattacharyya; B. Reiser

doi:10.1080/00401706.1988.10488363

Confidence limits for stress-strength models with explanatory variables

I. Guttman, R. A. Johnson, G. K. Bhattacharyya, B. Reiser

Department of Statistics

Research output: Contribution to journal › Article › peer-review

Abstract

A lower confidence bound is obtained for Pr(Y > Xz₁z₂), where X and Y are independent normal variables, with explanatory variables z₁and z₂respectively. 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.

Original language	English
Pages (from-to)	161-168
Number of pages	8
Journal	Technometrics
Volume	30
Issue number	2
DOIs	https://doi.org/10.1080/00401706.1988.10488363
State	Published - May 1988

Bibliographical note

Funding Information:
Partial support was accorded by National Science and Engineering Research Council of Canada Grant A8743, Oftice of Naval Research Grant N00014-78-C-0722, and Air Force Office of Scientific Research Grant 87-0256. We thank the associate editor and referees for their comments, which led to an improved article.

Keywords

Confidence bounds
Covariate
Reliability

ASJC Scopus subject areas

Statistics and Probability
Modeling and Simulation
Applied Mathematics

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10.1080/00401706.1988.10488363

Cite this

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abstract = "A lower confidence bound is obtained for Pr(Y > Xz1z2), where X and Y are independent normal variables, with explanatory variables z1and z2respectively. 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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note = "Funding Information: Partial support was accorded by National Science and Engineering Research Council of Canada Grant A8743, Oftice of Naval Research Grant N00014-78-C-0722, and Air Force Office of Scientific Research Grant 87-0256. We thank the associate editor and referees for their comments, which led to an improved article.",

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AU - Johnson, R. A.

AU - Bhattacharyya, G. K.

AU - Reiser, B.

N1 - Funding Information: Partial support was accorded by National Science and Engineering Research Council of Canada Grant A8743, Oftice of Naval Research Grant N00014-78-C-0722, and Air Force Office of Scientific Research Grant 87-0256. We thank the associate editor and referees for their comments, which led to an improved article.

PY - 1988/5

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N2 - A lower confidence bound is obtained for Pr(Y > Xz1z2), where X and Y are independent normal variables, with explanatory variables z1and z2respectively. 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.

AB - A lower confidence bound is obtained for Pr(Y > Xz1z2), where X and Y are independent normal variables, with explanatory variables z1and z2respectively. 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.

KW - Confidence bounds

KW - Covariate

KW - Reliability

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DO - 10.1080/00401706.1988.10488363

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ER -

Confidence limits for stress-strength models with explanatory variables

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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