On the paper ''Asymptotics for the moments of singular distributions'' (Q1899366)
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scientific article; zbMATH DE number 803701
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the paper ''Asymptotics for the moments of singular distributions'' |
scientific article; zbMATH DE number 803701 |
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On the paper ''Asymptotics for the moments of singular distributions'' (English)
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9 October 1995
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Examples are discussed which show that the moments \(c_n (\alpha)= \int_0^1 t^n d\alpha (t)\) of some singular (resp. absolutely continuous) distributions \(\alpha\) can have regular asymptotic behavior (resp. an asymptotic expansion with oscillatory terms). This contradicts a conjecture of \textit{W. Goh} and \textit{J. Wimp} [J. Approximation Theory 74, 301-334 (1993; Zbl 0788.41019)].
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moments
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distributions
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