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geometry > algebraic geometry > moment problem

optimization > moment problem

mathematical analysis > real analysis > moment problem

probability theory > moment > moment problem

mathematical statistics > moment > moment problem

Preferred term

moment problem

Definition(s)

In mathematics, a moment problem arises as the result of trying to invert the mapping that takes a measure μ to the sequence of moments

${\\displaystyle m_{n}=\\int _{-\\infty }^{\\infty }x^{n}\\,d\\mu (x)\\,.}$

More generally, one may consider

${\\displaystyle m_{n}=\\int _{-\\infty }^{\\infty }M_{n}(x)\\,d\\mu (x)\\,.}$

for an arbitrary sequence of functions M_n.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Moment_problem)

Broader concept(s)

Related concept(s)

measure

In other languages

problème des moments

French

URI

http://data.loterre.fr/ark:/67375/PSR-TL90LWRL-H

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RDF/XML TURTLE JSON-LD Created 8/17/23, last modified 8/17/23