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.
Funding Statement
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.
Citation
Sameen Naqvi. Neeraj Misra. P. S. Chan. "Some preservation properties of shifted stochastic orders." Braz. J. Probab. Stat. 35 (4) 838 - 850, November 2021. https://doi.org/10.1214/21-BJPS510
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