ON THE DISTRIBUTION OF THE MAXIMUM OF SUMS OF A SEQUENCE OF INDEPENDENT AND IDENTICALLY DISTRIBUTED RANDOM VARIABLES.

ON THE DISTRIBUTION OF THE MAXIMUM OF SUMS OF A
SEQUENCE OF INDEPENDENT AND IDENTICALLY DISTRIBUTED
RANDOM VARIABLES.

T.M.ALIYEV, SH. B. BAKHSHIYEV

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Abstract

The authors nd in terms of generating functions the distribution of the
maximum of sums of independent and identically distributed random variables with no
negative jumps dierent from -1.

Keywords

random walk, Laplace transform, generating function.