CHARACTERIZATIONS OF THE WEIBULL DISTRIBUTION BY THE INDEPENDENCE OF THE UPPER RECORD VALUES

Chang, Se-Kyung; Chang, Se-Kyung; Lee, Min-Young; Lee, Min-Young

P-ISSN3059-0604
E-ISSN3059-1309
KCI

Home

OA Policy

ISSN : 3059-0604

Article Contents

Prev Next

e-Submission

Vol.15 No.2

Citation Share

CHARACTERIZATIONS OF THE WEIBULL DISTRIBUTION BY THE INDEPENDENCE OF THE UPPER RECORD VALUES

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309

2008, v.15 no.2, pp.163-167

Chang, Se-Kyung
Lee, Min-Young

Chang,, S. , & Lee,, M. (2008). CHARACTERIZATIONS OF THE WEIBULL DISTRIBUTION BY THE INDEPENDENCE OF THE UPPER RECORD VALUES. , 15(2), 163-167.

copy

Abstract

This paper presents characterizations of the Weibull distribution by the independence of record values. We prove that <TEX>$X\;{\in}\;W\;EI ({\alpha})$</TEX>, if and only if <TEX>$\frac {X_{U(n+l)}} {X_{U(n+1)}\;+\;X_{U(n)}}$</TEX> and <TEX>$X_{U(n+1)}$</TEX> for <TEX>$n{\geq}1$</TEX> are independent or <TEX>$\frac {X_{U(n)}} {X_{U(n+1)}\;+\;X_{U(n)}}$</TEX> and <TEX>$X_{U(n+1)}$</TEX> for <TEX>$n{\geq}1$</TEX> are independent. And also we establish that <TEX>$X\;{\in}\;W\;EI({\alpha})$</TEX>, if and only if <TEX>$\frac {X_{U(n+1)}\;-\;X_{U(n)}} {X_{U(n+1)}\;+\;X_{U(n)}}$</TEX> and <TEX>$X_{U(n+1)}$</TEX> for <TEX>$n{\geq}1$</TEX> are independent.

keywords: record values, characterization, independence, Weibull distribution

바로가기메뉴

Article Contents

Vol.15 No.2

CHARACTERIZATIONS OF THE WEIBULL DISTRIBUTION BY THE INDEPENDENCE OF THE UPPER RECORD VALUES

Abstract

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics