New procedures for selecting the k-best exponential populations

Allen C. K. Ng

doi:10.1080/03610918.2015.1039130

New procedures for selecting the k-best exponential populations

Allen C. K. Ng^*

^*Corresponding author for this work

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

Abstract

Suppose exponential populations π_i with parameters (μ_i,σ_i) (i = 1, 2, …, K) are given. The σ_i can be unknown and unequal. This article discusses how to select the k (≥1) best populations. Under the subset selection formulation, a one-stage procedure is proposed. Under the indifference zone formulation, a two-stage procedure is proposed. An appealing feature of these procedures is that no statistical tables are needed for their implementation.

Original language	English
Pages (from-to)	2176-2184
Journal	Communications in Statistics: Simulation and Computation
Volume	46
Issue number	3
DOIs	https://doi.org/10.1080/03610918.2015.1039130
Publication status	Published - 16 Mar 2017

Research Keywords

Best population
Exponential population
Hochberg's inequality
Indifference zone formulation
One-stage procedure
Ranking and selection
Subset selection formulation
Two-stage procedure

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10.1080/03610918.2015.1039130

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title = "New procedures for selecting the k-best exponential populations",

abstract = "Suppose exponential populations πi with parameters (μi,σi) (i = 1, 2, …, K) are given. The σi can be unknown and unequal. This article discusses how to select the k (≥1) best populations. Under the subset selection formulation, a one-stage procedure is proposed. Under the indifference zone formulation, a two-stage procedure is proposed. An appealing feature of these procedures is that no statistical tables are needed for their implementation.",

keywords = "Best population, Exponential population, Hochberg's inequality, Indifference zone formulation, One-stage procedure, Ranking and selection, Subset selection formulation, Two-stage procedure",

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year = "2017",

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doi = "10.1080/03610918.2015.1039130",

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TY - JOUR

T1 - New procedures for selecting the k-best exponential populations

AU - Ng, Allen C. K.

PY - 2017/3/16

Y1 - 2017/3/16

N2 - Suppose exponential populations πi with parameters (μi,σi) (i = 1, 2, …, K) are given. The σi can be unknown and unequal. This article discusses how to select the k (≥1) best populations. Under the subset selection formulation, a one-stage procedure is proposed. Under the indifference zone formulation, a two-stage procedure is proposed. An appealing feature of these procedures is that no statistical tables are needed for their implementation.

AB - Suppose exponential populations πi with parameters (μi,σi) (i = 1, 2, …, K) are given. The σi can be unknown and unequal. This article discusses how to select the k (≥1) best populations. Under the subset selection formulation, a one-stage procedure is proposed. Under the indifference zone formulation, a two-stage procedure is proposed. An appealing feature of these procedures is that no statistical tables are needed for their implementation.

KW - Best population

KW - Exponential population

KW - Hochberg's inequality

KW - Indifference zone formulation

KW - One-stage procedure

KW - Ranking and selection

KW - Subset selection formulation

KW - Two-stage procedure

UR - https://www.scopus.com/pages/publications/84997026854

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-84997026854&origin=recordpage

U2 - 10.1080/03610918.2015.1039130

DO - 10.1080/03610918.2015.1039130

M3 - RGC 21 - Publication in refereed journal

SN - 0361-0918

VL - 46

SP - 2176

EP - 2184

JO - Communications in Statistics: Simulation and Computation

JF - Communications in Statistics: Simulation and Computation

IS - 3

ER -

New procedures for selecting the k-best exponential populations

Abstract

Research Keywords

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