Second-order stochastic comparisons of order statistics

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27510%2F21%3A10247928" target="_blank" >RIV/61989100:27510/21:10247928 - isvavai.cz</a>

Result on the web

<a href="https://www.tandfonline.com/doi/full/10.1080/02331888.2021.1960527" target="_blank" >https://www.tandfonline.com/doi/full/10.1080/02331888.2021.1960527</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1080/02331888.2021.1960527" target="_blank" >10.1080/02331888.2021.1960527</a>

Result language

angličtina

Original language name

Second-order stochastic comparisons of order statistics

Original language description

We study the problem of comparing ageing patterns of lifetimes of k-out-of-n systems with i.i.d. components. Mathematically, this reduces to being able to decide about a stochastic ordering relationship between different order statistics. We discuss such relationships with respect to second-order stochastic dominance, obtaining characterizations through the verification of relative convexity with respect to a suitably chosen reference distribution function. We introduce a hierarchy of such reference functions leading to classes, each expressing different and increasing knowledge precision about the distribution of the components lifetimes. Such classes are wide enough to include popular families of distributions, such as, for example, the increasing failure rate distributions. We derive sufficient dominance conditions depending on the identification of the class which includes the component lifetimes. We discuss the applicability of this method and characterize a test for the relative convexity, as this notion plays a central role in the proposed approach. (C) 2021 Informa UK Limited, trading as Taylor &amp; Francis Group.

Czech name

—

Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

50200 - Economics and Business

Project

<a href="/en/project/GA20-16764S" target="_blank" >GA20-16764S: A generalized approach to stochastic dominance: theory and financial applications</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2021

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Statistics

ISSN

0233-1888

e-ISSN

—

Volume of the periodical

55

Issue of the periodical within the volume

3

Country of publishing house

US - UNITED STATES

Number of pages

19

Pages from-to

561-579

UT code for WoS article

000681602900001

EID of the result in the Scopus database

2-s2.0-85112650020