Theoretical Statistics and Mathematics Unit, ISI Delhi

Limit distribution of maximal segmental score for partial sums for random number of I.I.D. random variables

by B. L. S. Prakasa Rao and M. Sreehari

Molecular sequence analysis via the study of local score is an important technique in the study of molecular biology. Local score is the maximum segmental score for the partial sums obtained via the scoring scheme. Suppose the scoring scheme is modeled by a sequence of independent and identically distributed random variables. We obtain the limiting distribution of the maximal segmental score for the partial sums for a random number of independent and identically distributed random variables.

isid/ms/2004/09 [fulltext]

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