TY - JOUR
T1 - COMPARISONS OF SAMPLE RANGES ARISING FROM MULTIPLE-OUTLIER MODELS
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
UR - http://www.scopus.com/inward/record.url?scp=85039786790&partnerID=8YFLogxK
U2 - 10.1017/S0269964817000468
DO - 10.1017/S0269964817000468
M3 - Article
AN - SCOPUS:85039786790
SN - 0269-9648
VL - 33
SP - 28
EP - 49
JO - Probability in the Engineering and Informational Sciences
JF - Probability in the Engineering and Informational Sciences
IS - 1
ER -