Estimation of Pr{X>Y} or Pr{X⩽Y}

Author

Porat, Ze´ev ; Haim, Meir ; Markiewicz, Yaffa

Author_Institution

RAFAEL, Haifa, Israel

Volume

43

Issue

3

fYear

1994

fDate

9/1/1994 12:00:00 AM

Firstpage

466

Lastpage

469

Abstract

The paper presents a procedure for the estimation (point and interval) for a reliability model of the form Pr{X>Y} or Pr{X⩽Y} and Gaussian (normal) distributed variables. The procedures are derived from a quantitative approach that allows the user to get sufficient evidence, concerning the product reliability, by testing a small sample but at severe conditions, rather than testing a large sample at the nominal working conditions. Y has known parameters while X is a Gaussian r.v. with an unknown mean and a known coefficient-of-variation. The procedure is practical and cost effective when facing situations such as high test-cost, or severe contractual reliability requirements

Keywords

failure analysis; reliability theory; stochastic processes; Gaussian distributed variables; Pr{X>Y}; Pr{X⩽Y}; coefficient-of-variation; contractual reliability requirements; cost effective; interval estimation; normal distributed variables; point estimation; product reliability; reliability model; test cost; Bridges; Costs; Electronic components; Gaussian distribution; Ignition; Mathematical model; Mechanical variables measurement; Probability; Stress measurement; Testing;

fLanguage

English

Journal_Title

Reliability, IEEE Transactions on

Publisher

ieee

ISSN

0018-9529

Type

jour

DOI

10.1109/24.326447

Filename

326447