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A Characterization of the Gumbel Distribution Based on Record Values

✍ Scribed by AlZaid, A. A.; Ahsanullah, M.


Book ID
111922626
Publisher
Taylor and Francis Group
Year
2003
Tongue
English
Weight
169 KB
Volume
32
Category
Article
ISSN
0361-0926

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πŸ“œ SIMILAR VOLUMES


On characterizations of distributions vi
✍ G. D. Lin πŸ“‚ Article πŸ“… 1987 πŸ› Springer 🌐 English βš– 212 KB

Let {X,}~= 1 be a sequence of i.i.d, random variables having continuous distribution F(x) with E IX[~+~< oo for some positive integer l and for some e > 0. It is shown that for any fixed integer N > 0 the sequence of moments of record values {E(XL(n))t}~=N characterizes F. Furthermore, this result i