Glivenko's theorem (probability theory)

Glivenko's theorem (probability theory) This article relies largely or entirely on a single source. Relevant discussion may be found on the talk page. Please help improve this article by introducing citations to additional sources. Find sources: "Glivenko's theorem" probability theory – news · newspapers · books · scholar · JSTOR (December 2016) In probability theory, Glivenko's theorem states that if {displaystyle varphi _{n},nin mathbb {N} } , {displaystyle varphi } are the characteristic functions of some probability distributions {displaystyle mu _{n},mu } respectively and {displaystyle varphi _{n}to varphi } almost everywhere, then {displaystyle mu _{n}to mu } in the sense of probability distributions.[1] References ^ Itô, Kiyosi (1984). Introduction to Probability Theory. Cambridge University Press. p. 87. ISBN 0 521 26960 1.

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