ALMOST SURE LIMIT POINTS OF LIGHTLY TRIMMED SUMS WHEN
THE DISTRIBUTION FUNCTION BELONGS TO THE DOMAIN OF
PARTIAL ATTRACTION OF A POSITIVE SEMI-STABLE LAW
Rasbagh Vasudeva
Gali Srilakshminarayana
Abstract: In this paper, we obtain the set of all almost sure limit points of lightly trimmed
sums, properly normalized, when the underlying distribution function belongs to the
domain of partial attraction of a semi-stable law supported on the positive half axis.
2000 AMS Mathematics Subject Classification: Primary: 60F15; Secondary:
60F10.
Keywords and phrases: Lightly trimmed sums, law of the iterated logarithm,
semi-stable law, almost sure limit points.