Some preservation properties of shifted stochastic orders

Naqvi, Sameen and Misra, Neeraj and Chan, P. S. (2021) Some preservation properties of shifted stochastic orders. Brazilian Journal of Probability and Statistics, 35 (4). ISSN 0103-0752

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Abstract

In this paper, we provide results on preservation of various shifted stochastic orders under the operations of mixtures. These results have been established with respect to up (down) shifted hazard rate order, up (down) shifted reversed hazard rate order and up (down) shifted likelihood ratio order. In addition, a discussion on preservation of shifted stochastic orders under the operations of convolutions is also presented. Some examples have been obtained to illustrate applications of these results. © Brazilian Statistical Association, 2021.

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IITH Creators:

IITH Creators	ORCiD
Naqvi, Sameen	UNSPECIFIED

Item Type:

Article

Additional Information:

S. Naqvi acknowledges the financial support provided by the SEED Grant, IIT Hyderabad.P.S. Chan acknowledges the financial support provided by the CUHK Faculty of Science Direct Grant 4053421.

Uncontrolled Keywords:

RR2; TP2; Up (down) shifted hazard rate order; Up (down) shifted likelihood ratio order; Up (down) shifted reversed hazard rate order

Subjects:

Mathematics

Divisions:

Department of Mathematics

Depositing User:

. LibTrainee 2021

Date Deposited:

29 Sep 2022 15:17

Last Modified:

29 Sep 2022 15:17