1994 | OriginalPaper | Buchkapitel
On Probabilities of Large Deviations
verfasst von : Wassily Hoeffding
Erschienen in: The Collected Works of Wassily Hoeffding
Verlag: Springer New York
Enthalten in: Professional Book Archive
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The paper is concerned with the estimation of the probability that the empirical distribution of n independent, identically distributed random vectors is contained in a given set of distributions. Sections 1–3 are a survey of some of the literature on the subject. In section 4 the special case of multinomial distributions is considered and certain results on the precise order of magnitude of the probabilities in question are obtained.