Non-negative Na Random Variables And Limit Properties Of The Inverse Moments Of Non-negative Submartingale

Posted on:2010-02-02

Degree:Master

Type:Thesis

Country:China

Candidate:H P Peng

Full Text:PDF

GTID:2190360302459633

Subject:Probability theory and mathematical statistics

Abstract/Summary:

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It is an interested problem when the inverse moments of nonnegative independent summation can be approximated by the inverse of moments of them. In the strong moments conditions, this problem is studied in the reference. Recently, WU, et. all. significantly improved these moment conditions, in this paper, the inverse moments are extended further to the summations of nonnegative NA random variables and nonnegative sub-martingale, and it is discussed when only the second moment exist.

Keywords/Search Tags:

nonnegative NA random variables, nonnegative Submartingale, inverse moments, tail-truncation

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