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Exact Strong Laws for Multidimensionally Indexed Random Variables

✍ Scribed by André Adler

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
110 KB
Volume
77
Category
Article
ISSN
0047-259X

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✦ Synopsis

Consider independent and identically distributed random variables [X, X n , n # Z d + ] with either EX=0 or E |X |= . We establish strong laws so that |n| N a n X n  b N Ä 1 almost surely. Our procedure selects the constants [a n , n # Z d + ] and [b N , N 1] so that these strong laws obtain in almost any possible setting.

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