The Law of the Iterated Logarithm for Independent Random Variables with Multidimensional Parameters and Its Application
Received:November 26, 2001  
Key Words: Law of the iterated logarithm   multidimensional parameter   moment of supremum.  
Fund Project:Supported by the National Natural Science Foundation of China (10271120)
Author NameAffiliation
CHEN Ping-yan Dept. of Math.
Jinan University
Guangzhou
China 
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Abstract:
      For a set of i.i.d.r.v. indexed by positive integer d-dimensional lattice points, and for some general normalizing sequence, we determine necessary and sufficient conditions for the law of iterated logarithm. As its application, we give conditions for the existence of moments of the supremum of normed partial sums.
Citation:
DOI:10.3770/j.issn:1000-341X.2004.01.010
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