Lognormal selection with applications to lifetime data

Thomas T. John; Pinyuen Chen

doi:10.1109/TR.2005.858098

Lognormal selection with applications to lifetime data

Thomas T. John, Pinyuen Chen

Department of Mathematics

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

6 Scopus citations

Abstract

We consider selection problems on k lognormal (μ_i, σ_i²) populations when the σ_i² are unequal, under both known & unknown cases. Selection based on linear functions of μ & σ² are considered. For the unequal & unknown σ_i² case, a two-stage Rinott-type asymptotic procedure is proposed. In consideration to reliability & survival analysis applications, an asymptotic procedure is also proposed for the parametric selection based on the α-quantiles. Simulation studies to evaluate the procedures & to compare the latter procedure to the nonparametric procedure based on the α-quantiles are presented. The procedures are demonstrated using examples from reliability & quality control.

Original language	English (US)
Pages (from-to)	135-148
Number of pages	14
Journal	IEEE Transactions on Reliability
Volume	55
Issue number	1
DOIs	https://doi.org/10.1109/TR.2005.858098
State	Published - Mar 2006

Keywords

Alpha-quantiles
Lifetime data
Lognormal
Rinott's procedure
Selection of the best
Two-stage

ASJC Scopus subject areas

Safety, Risk, Reliability and Quality
Electrical and Electronic Engineering

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10.1109/TR.2005.858098

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AB - We consider selection problems on k lognormal (μi, σi2) populations when the σi2 are unequal, under both known & unknown cases. Selection based on linear functions of μ & σ2 are considered. For the unequal & unknown σi2 case, a two-stage Rinott-type asymptotic procedure is proposed. In consideration to reliability & survival analysis applications, an asymptotic procedure is also proposed for the parametric selection based on the α-quantiles. Simulation studies to evaluate the procedures & to compare the latter procedure to the nonparametric procedure based on the α-quantiles are presented. The procedures are demonstrated using examples from reliability & quality control.

KW - Alpha-quantiles

KW - Lifetime data

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KW - Rinott's procedure

KW - Selection of the best

KW - Two-stage

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Lognormal selection with applications to lifetime data

Abstract

Keywords

ASJC Scopus subject areas

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