Second-order stochastic comparisons of order statistics

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Second-order stochastic comparisons of order statistics

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Second-order stochastic comparisons of order statistics

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

50200 - Economics and Business

Projekt

<a href="/cs/project/GA20-16764S" target="_blank" >GA20-16764S: Zobecněný přístup ke stochastické dominanci: teorie a finanční aplikace</a><br>

Návaznosti

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

Rok uplatnění

2021

Kód důvěrnosti údajů

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

Název periodika

Statistics

ISSN

0233-1888

e-ISSN

—

Svazek periodika

55

Číslo periodika v rámci svazku

3

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

19

Strana od-do

561-579

Kód UT WoS článku

000681602900001

EID výsledku v databázi Scopus

2-s2.0-85112650020