Sobre la convergencia de distribuciones y la convergencia en probabilidad

descriptionPublicationkeyboard_double_arrow_right Article 01 Feb 1951 Spanish Publisher:Springer Science and Business Media LLCJournal:Trabajos de Estadistica, volume 2, pages 75-78 (issn: 0490-219X,

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Authors: Sixto Ríos;

doi: 10.1007/bf03006065

Sobre la convergencia de distribuciones y la convergencia en probabilidad

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Abstract

A necessary and sufficient condition is given for a sequence of distribution functions to converge to a distribution function. This convergence is related whith that of the random variables by stating a sufficient condition such that the convergence of a sequence of distributions will imply the convergence in probability of the corresponding sequence of random variables.

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