Characterizations of uniform and exponential distributions via moments of the kth record values randomly indexed
Grudzień, Zofia ; Szynal, Dominik
Applicationes Mathematicae, Tome 24 (1997), p. 307-314 / Harvested from The Polish Digital Mathematics Library

We characterize uniform and exponential distributions via moments of the kth record statistics. Too and Lin's (1989) results are contained in our approach.

Publié le : 1997-01-01
EUDML-ID : urn:eudml:doc:219172
@article{bwmeta1.element.bwnjournal-article-zmv24i3p307bwm,
     author = {Zofia Grudzie\'n and Dominik Szynal},
     title = {Characterizations of uniform and exponential distributions via moments of the kth record values randomly indexed},
     journal = {Applicationes Mathematicae},
     volume = {24},
     year = {1997},
     pages = {307-314},
     zbl = {1007.62502},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-zmv24i3p307bwm}
}
Grudzień, Zofia; Szynal, Dominik. Characterizations of uniform and exponential distributions via moments of the kth record values randomly indexed. Applicationes Mathematicae, Tome 24 (1997) pp. 307-314. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-zmv24i3p307bwm/

[000] [1] W. Dziubdziela and B. Kopociński, Limiting properties of the k-th record values, Appl. Math. (Warsaw) 15 (1976), 187-190. | Zbl 0337.60023

[001] [2] Z. Grudzień and D. Szynal, On the expected values of k-th record values and associated characterizations of distributions, in: Prob. Statist. Decision Theory, Proc. 4th Pannonian Sympos. Math. Statist., Reidel, 1985, 119-127. | Zbl 0586.62071

[002] [3] Z. Grudzień and D. Szynal, Characterizations of distributions in terms of record statistics with random index, Discuss. Math. Algebra Stochastic Methods 16 (1996), 1-9. | Zbl 0876.62008

[003] [4] G. D. Lin, Characterizations of continuous distributions via expected values of two functions of order statistics, Sankhyā A 52 (1990), 84-90. | Zbl 0717.62010

[004] [5] G. D. Lin and Y. H. Too, Characterizations of distributions via moments of order statistics when sample size is random, SEA Bull. Math. 15 (1991), 139-144. | Zbl 0742.62010

[005] [6] G. D. Lin and Y. H. Too, Characterizations of uniform and exponential distributions, Statist. Probab. Lett. 7 (1989), 357-359. | Zbl 0666.62010