Confidence bounds for Pr(a’x b’y)

Benjamin Reiser; David Faraggi

doi:10.1080/02331889408802437

Confidence bounds for Pr(a’x b’y)

Department of Statistics

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

Abstract

Recently Gupta and Gupta [3] have discussed point estimation for R = Pr(a' ‘ b’y) where _x_p_x| and y_q_x₁are two non-independent multivariate normal variates and a and b are two known vectors. We show how a lower confidence bound can be obtained for R and how this can be used to refine the inference for the application considered by Gupta and Gupta. Furthermore the case of independent x and y is considered and an application of this case is presented.

Original language	English
Pages (from-to)	107-111
Number of pages	5
Journal	Statistics
Volume	25
Issue number	2
DOIs	https://doi.org/10.1080/02331889408802437
State	Published - 1 Jan 1994

Keywords

Reliability
confidence bounds
stress-strength models

ASJC Scopus subject areas

Statistics and Probability
Statistics, Probability and Uncertainty

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10.1080/02331889408802437

Cite this

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abstract = "Recently Gupta and Gupta [3] have discussed point estimation for R = Pr(a' {\textquoteleft} b{\textquoteright}y) where xpx| and yqx1are two non-independent multivariate normal variates and a and b are two known vectors. We show how a lower confidence bound can be obtained for R and how this can be used to refine the inference for the application considered by Gupta and Gupta. Furthermore the case of independent x and y is considered and an application of this case is presented.",

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N2 - Recently Gupta and Gupta [3] have discussed point estimation for R = Pr(a' ‘ b’y) where xpx| and yqx1are two non-independent multivariate normal variates and a and b are two known vectors. We show how a lower confidence bound can be obtained for R and how this can be used to refine the inference for the application considered by Gupta and Gupta. Furthermore the case of independent x and y is considered and an application of this case is presented.

AB - Recently Gupta and Gupta [3] have discussed point estimation for R = Pr(a' ‘ b’y) where xpx| and yqx1are two non-independent multivariate normal variates and a and b are two known vectors. We show how a lower confidence bound can be obtained for R and how this can be used to refine the inference for the application considered by Gupta and Gupta. Furthermore the case of independent x and y is considered and an application of this case is presented.

KW - Reliability

KW - confidence bounds

KW - stress-strength models

UR - https://www.scopus.com/pages/publications/0008464831

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DO - 10.1080/02331889408802437

M3 - Article

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SP - 107

EP - 111

JO - Statistics

JF - Statistics

IS - 2

ER -

Confidence bounds for Pr(a’x b’y)

Abstract

Keywords

ASJC Scopus subject areas

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