Browse > Article
http://dx.doi.org/10.14403/jcms.2010.23.2.245

ON CHARACTERIZATIONS OF THE WEIBULL DISTRIBUTION BY THE INDEPENDENT PROPERTY OF RECORD VALUES  

Lee, Min-Young (Department of Mathematics Dankook University)
Lim, Eun-Hyuk (Department of Mathematics Dankook University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.23, no.2, 2010 , pp. 245-250 More about this Journal
Abstract
We present characterizations of the Weibull distribution by the independent property of record values that F(x) has a Weibull distribution if and only if $\frac{X_{U(m)}}{X_{U(n)}}$ and $X_{U(n)}$ or $\frac{X_{U(n)}}{X_{U(n)}{\pm}X_{U(m)}}$ and $X_{U(n)}$ are independent for $1{\leq}m
Keywords
absolutely continuous; characterizations; independent identically distributed; Weibull distribution; record values;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 J. Aczel, Lectures on Functional Equations and Their Applications, Academic Press, NY, 1996.
2 M. Ahsanullah, Record Statistics, Inc, Dommack NY, 1995.
3 J. Galambos & S. Kotz , Characterization of Probability Distributions, Lecture Notes in Mathematics, 675, Springer-Verlag, NY, 1978.
4 M.Y. Lee & S.K. Chang, Characterizations of the weibull distribution by the independence of the record values, J. Appl. Math. & Computing, 15 (2008), 163-167.   과학기술학회마을