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Almost Sure Limit of the Smallest Eigenvalue of

✍ Scribed by Han Xiao; Wang Zhou

Publisher
Springer US
Year
2010
Tongue
English
Weight
474 KB
Volume
23
Category
Article
ISSN
0894-9840

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We show that the accumulated gain Sn and the maximal gain Mn in n St. Petersburg games satisfy almost sure limit theorems with nondegenerate limits, even though ordinary asymptotic distributions do not exist for Sn and Mn with any numerical centering and norming sequences.