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On the Self-Normalized Cramér-type Large Deviation

✍ Scribed by John Robinson; Qiying Wang

Book ID: 106436720
Publisher: Springer US
Year: 2005
Tongue: English
Weight: 177 KB
Volume: 18
Category: Article
ISSN: 0894-9840
DOI: 10.1007/s10959-005-7531-5

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Let PN and QN, N>\_ 1, be two possible probability distributions of a random vector Xu = (Xm .... ,XNN), whose components are N independent. Suppose PN and QN have respective densities ps = iH=~f(xNi --N N ON) and qN ----i ~=l = f(xNi-ONi), where ON = N-1 i=1 y' ONi, such that ~i~umax [ONi-ON[ = O(N