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On the moment problems

✍ Scribed by Gwo Dong Lin

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
265 KB
Volume
35
Category
Article
ISSN
0167-7152

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✦ Synopsis

Sufficient conditions for a distribution to be moment-indeterminate are investigated. By applying the fundamental results of Hardy theory, we give an alternative proof of Akhiezer's (1965) result concerning the moment-indeterminacy for distributions supported on the whole real line. Secondly, we give a simpler proof but still based on Slud (1993), for a result concerning distributions supported on the half-line (0, ~). Besides, sufficient conditions for a distribution to be moment-determinate are also investigated.

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