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Characterizations of geometric distributions based on moments

โœ Scribed by Bencheng Ma; Kan Cheng

Publisher
Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
1992
Tongue
English
Weight
563 KB
Volume
8
Category
Article
ISSN
0168-9673

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On characterizations of distributions vi
On characterizations of distributions via moments of record values
โœ G. D. Lin ๐Ÿ“‚ Article ๐Ÿ“… 1987 ๐Ÿ› Springer ๐ŸŒ English โš– 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