T�tulo: The Theory of Fluctuations and their applications in Probability: Limit Theorems in Probability
Editor: VDM Verlag Dr. M ller
Fecha de publicaci�n: 2010
Idioma: Ingl�s
ISBN 10: 3639286782
ISBN 13: 9783639286786
Encuadernaci�n: paperback
Estado: Like New
Tipo de libro: book

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Sinopsis

This research work related to the realm of the "Law of iterated logarithm" for properly normalized partial sums, random sums and weighted sums of i.i.d. random variables. In brief, the classical LIL may not be possible for all integer sequence of real numbers, but for different subsequences of whole integer sequence of real numbers, which has shown by Allan Gut [1985]. His observation motivated me to study the situation for random variables which are belong to the domain of partial attraction of a Semi-Stable law. In fact, under different subsamples of whole integer sequence of real numbers,we established Chover's form of LIL for subsequences of properly normalized partial sums, random sums and weighted sums. Also We obtained a local limit theorem for weighted sums.

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