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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

Terme préférentiel

moment problem

Définition(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)

Concept(s) générique(s)

Concept(s) associé(s)

measure

Traductions

problème des moments

français

URI

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

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RDF/XML TURTLE JSON-LD Date de création 17/08/2023, dernière modif. 17/08/2023