COMPARISONS OF SAMPLE RANGES ARISING FROM MULTIPLE-OUTLIER MODELS: IN MEMORY OF MOSHE SHAKED

Narayanaswamy Balakrishnan; Jianbin Chen; Yiying Zhang; Peng Zhao

doi:10.1017/S0269964817000468

COMPARISONS OF SAMPLE RANGES ARISING FROM MULTIPLE-OUTLIER MODELS: IN MEMORY OF MOSHE SHAKED

Narayanaswamy Balakrishnan
, Jianbin Chen
, Yiying Zhang
, Peng Zhao

McMaster University
Nankai University
The University of Hong Kong
Jiangsu Normal University

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

3 Citations (Scopus)

Abstract

In this paper, we discuss the ordering properties of sample ranges arising from multiple-outlier exponential and proportional hazard rate (PHR) models. The purpose of this paper is twofold. First, sufficient conditions on the parameter vectors are provided for the reversed hazard rate order and the usual stochastic order between the sample ranges arising from multiple-outlier exponential models with common sample size. Next, stochastic comparisons are separately carried out for sample ranges arising from multiple-outlier exponential and PHR models with different sample sizes as well as different hazard rates. Some numerical examples are also presented to illustrate the results established here.

Original language	English
Pages (from-to)	28-49
Number of pages	22
Journal	Probability in the Engineering and Informational Sciences
Volume	33
Issue number	1
DOIs	https://doi.org/10.1017/S0269964817000468
Publication status	Published - 1 Jan 2019
Externally published	Yes

Keywords

PHR models
majorization order
multiple-outlier models
p-larger order
reversed hazard rate order
sample range
usual stochastic order

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10.1017/S0269964817000468

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title = "COMPARISONS OF SAMPLE RANGES ARISING FROM MULTIPLE-OUTLIER MODELS: IN MEMORY OF MOSHE SHAKED",

abstract = "In this paper, we discuss the ordering properties of sample ranges arising from multiple-outlier exponential and proportional hazard rate (PHR) models. The purpose of this paper is twofold. First, sufficient conditions on the parameter vectors are provided for the reversed hazard rate order and the usual stochastic order between the sample ranges arising from multiple-outlier exponential models with common sample size. Next, stochastic comparisons are separately carried out for sample ranges arising from multiple-outlier exponential and PHR models with different sample sizes as well as different hazard rates. Some numerical examples are also presented to illustrate the results established here.",

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T2 - IN MEMORY OF MOSHE SHAKED

AU - Balakrishnan, Narayanaswamy

AU - Chen, Jianbin

AU - Zhang, Yiying

AU - Zhao, Peng

N1 - Publisher Copyright: © Cambridge University Press 2017.

PY - 2019/1/1

Y1 - 2019/1/1

N2 - In this paper, we discuss the ordering properties of sample ranges arising from multiple-outlier exponential and proportional hazard rate (PHR) models. The purpose of this paper is twofold. First, sufficient conditions on the parameter vectors are provided for the reversed hazard rate order and the usual stochastic order between the sample ranges arising from multiple-outlier exponential models with common sample size. Next, stochastic comparisons are separately carried out for sample ranges arising from multiple-outlier exponential and PHR models with different sample sizes as well as different hazard rates. Some numerical examples are also presented to illustrate the results established here.

AB - In this paper, we discuss the ordering properties of sample ranges arising from multiple-outlier exponential and proportional hazard rate (PHR) models. The purpose of this paper is twofold. First, sufficient conditions on the parameter vectors are provided for the reversed hazard rate order and the usual stochastic order between the sample ranges arising from multiple-outlier exponential models with common sample size. Next, stochastic comparisons are separately carried out for sample ranges arising from multiple-outlier exponential and PHR models with different sample sizes as well as different hazard rates. Some numerical examples are also presented to illustrate the results established here.

KW - PHR models

KW - majorization order

KW - multiple-outlier models

KW - p-larger order

KW - reversed hazard rate order

KW - sample range

KW - usual stochastic order

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SP - 28

EP - 49

JO - Probability in the Engineering and Informational Sciences

JF - Probability in the Engineering and Informational Sciences

IS - 1

ER -

COMPARISONS OF SAMPLE RANGES ARISING FROM MULTIPLE-OUTLIER MODELS: IN MEMORY OF MOSHE SHAKED

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Keywords

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