A probability inequality for sums of independent Banach space valued random variables
نویسندگان
چکیده
منابع مشابه
Moderate Deviation Principles for Trajectories of Sums of Independent Banach Space Valued Random Variables
Let {Xn} be a sequence of i.i.d. random vectors with values in a separable Banach space. Moderate deviation principles for trajectories of sums of {Xn} are proved, which generalize related results of Borovkov and Mogulskii (1980) and Deshayes and Picard (1979). As an application, functional laws of the iterated logarithm are given. The paper also contains concluding remarks, with examples, on e...
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ژورنال
عنوان ژورنال: Stochastics
سال: 2017
ISSN: 1744-2508,1744-2516
DOI: 10.1080/17442508.2017.1318878