A Local Limit Theorem for Large Deviations of Sums of Independent, Nonidentically Distributed Random Variables
نویسندگان
چکیده
منابع مشابه
A Local Limit Theorem for Sums of Dependent Random Variables
A version of central limit is established normalized sums dependent random when a theorem is and conditional are sufficiently The proof ideas from by representing density as integral of score function a translation of distributions. 1980 Subject 60F99.
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We use and extend a method by Hoeffding to obtain strong large deviation bounds for sums of dependent random variables with suitable dependency structure. The method is based on breaking up the sum into sums of independent variables. Applications are given to U -statistics, random strings and random graphs.
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ژورنال
عنوان ژورنال: The Annals of Probability
سال: 1979
ISSN: 0091-1798
DOI: 10.1214/aop/1176995052