Moment Problem

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Geliefert zwischen Di., 03.02.2026 und Mi., 04.02.2026

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In the classical setting, is a measure on the real line, and M is in the sequence { xn : n = 0, 1, 2, ... } In this form the question appears in probability theory, asking whether there is a probability measure having specified mean, variance and so on, and whether it is unique. There are three named classical moment problems: the Hamburger moment problem in which the support of is allowed to be the whole real line; the Stieltjes moment problem, for [0, + ); and the Hausdorff moment problem for a bounded interval, which without loss of generality may be taken as [0, 1].In mathematics, the real line is the line whose points correspond to the real numbers. That is, the real line is the set R of all real numbers, viewed as a geometric space. It is the Euclidean space of dimension one, and can be thought of as a vector space (or affine space), a metric space, a topological space, or simply as a linear continuum.

Weitere Informationen

  • Allgemeine Informationen
    • GTIN 09786131115936
    • Editor Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
    • EAN 9786131115936
    • Format Fachbuch
    • Titel Moment Problem
    • Herausgeber Betascript Publishing
    • Anzahl Seiten 68
    • Genre Mathematik

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