Hausdorff moment problem
id:
hausdorff-moment-problem-234-3941862
title:
Hausdorff moment problem
text:
In mathematics, the Hausdorff moment problem, named after Felix Hausdorff, asks for necessary and sufficient conditions that a given sequence be the sequence of moments of some Borel measure μ supported on the closed unit interval [0, 1]. In the case m0 = 1, this is equivalent to the existence of a random variable X supported on [0, 1], such that E[Xn] = mn. The essential difference between this and other well-known moment problems is that this is on a bounded interval, whereas in the Stieltjes
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wiki
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encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Hausdorff_moment_problem
date created:
date modified:
2024-01-25T23:56:44Z
main entity:
{"identifier":"Q5682821","url":"https://www.wikidata.org/entity/Q5682821"}
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13
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