Some preservation properties of shifted stochastic orders

IF 0.6 4区数学 Q4 STATISTICS & PROBABILITY

Brazilian Journal of Probability and Statistics Pub Date : 2021-11-01 DOI:10.1214/21-bjps510

Sameen Naqvi, N. Misra, P. Chan

引用次数: 1

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.

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移位随机序的一些保存性质

在本文中，我们给出了在混合物操作下各种移位随机阶的保持性的结果。这些结果是关于向上（向下）移动的危险率顺序、向上（下）移动的反向危险率顺序和向上（下移）移动的似然比顺序建立的。此外，还讨论了在卷积运算下移位随机阶的保持问题。已经获得了一些实例来说明这些结果的应用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Brazilian Journal of Probability and Statistics STATISTICS & PROBABILITY-

CiteScore

1.60

自引率

10.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Brazilian Journal of Probability and Statistics aims to publish high quality research papers in applied probability, applied statistics, computational statistics, mathematical statistics, probability theory and stochastic processes. More specifically, the following types of contributions will be considered: (i) Original articles dealing with methodological developments, comparison of competing techniques or their computational aspects. (ii) Original articles developing theoretical results. (iii) Articles that contain novel applications of existing methodologies to practical problems. For these papers the focus is in the importance and originality of the applied problem, as well as, applications of the best available methodologies to solve it. (iv) Survey articles containing a thorough coverage of topics of broad interest to probability and statistics. The journal will occasionally publish book reviews, invited papers and essays on the teaching of statistics.