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- Method_of_moments_(probability_theory) abstract "In probability theory, the method of moments is a way of proving convergence in distribution by proving convergence of a sequence of moment sequences. Suppose X is a random variable and that all of the momentsexist. Further suppose the probability distribution of X is completely determined by its moments, i.e., there is no other probability distribution with the same sequence of moments(cf. the problem of moments). Iffor all values of k, then the sequence {Xn} converges to X in distribution.The method of moments was introduced by Pafnuty Chebyshev for proving the central limit theorem; Chebyshev cited earlier contributions by Irénée-Jules Bienaymé. More recently, it has been applied by Eugene Wigner to prove Wigner's semicircle law, and has since found numerous applications in the theory of random matrices.".
- Method_of_moments_(probability_theory) wikiPageID "5456797".
- Method_of_moments_(probability_theory) wikiPageRevisionID "517386263".
- Method_of_moments_(probability_theory) hasPhotoCollection Method_of_moments_(probability_theory).
- Method_of_moments_(probability_theory) subject Category:Probability_theory.
- Method_of_moments_(probability_theory) comment "In probability theory, the method of moments is a way of proving convergence in distribution by proving convergence of a sequence of moment sequences. Suppose X is a random variable and that all of the momentsexist. Further suppose the probability distribution of X is completely determined by its moments, i.e., there is no other probability distribution with the same sequence of moments(cf. the problem of moments).".
- Method_of_moments_(probability_theory) label "Method of moments (probability theory)".
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- Method_of_moments_(probability_theory) sameAs Q6823720.
- Method_of_moments_(probability_theory) sameAs Q6823720.
- Method_of_moments_(probability_theory) wasDerivedFrom Method_of_moments_(probability_theory)?oldid=517386263.
- Method_of_moments_(probability_theory) isPrimaryTopicOf Method_of_moments_(probability_theory).