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Contents of PMS, Vol. 24, Fasc. 2,
pages 433 - 442
 

LAW OF THE ITERATED LOGARITHM FOR SUBSEQUENCES OF PARTIAL SUMS WHICH ARE IN THE DOMAIN OF PARTIAL ATTRACTION OF A SEMISTABLE LAW

Gooty Divanji

Abstract: Let (X ,n > 1) n be a sequence of independent identically distributed random variables with a common distribution function F and let S = sum n ,n > 1. n j=1 When F belongs to the domain of partial attraction of a semistable law with index a, 0 < a < 2, Chover’s form of the law of the iterated logarithm has been obtained for subsequences of (S ), n along with some boundary crossing problems.

2000 AMS Mathematics Subject Classification: 60F15.

Key words and phrases: Law of iterated logarithm, subsequences, domain of partial attraction, semistable law.

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