%0 Journal Article
%T RECORDS IN GEOMETRICALLY DISTRIBUTED WORDS: SUM OF POSITIONS
%A Helmut Prodinger
%J Applicable Analysis and Discrete Mathematics
%D 2008
%I University of Belgrade and Academic Mind
%R 10.2298/aadm0802234p
%X Kortchemski introduced a new parameter for random permutations: thesum of the positions of the records. We investigate this parameter in the context of random words, where the letters are obtained by geometric probabilities. We find a relation for a bivariate generating function, from which we can obtain the expectation, exactly and asymptotically. In principle, one could get all moments from it, but the computations would be huge.
%K Words
%K geometric probabilities
%K records
%K Rice бщ ?  s method
%U http://pefmath.etf.bg.ac.yu/vol2num2/AADM-Vol2-No2-234-240.pdf