Combinatorics of geometrically distributed random variables: Inversions and a parameter of Knuth

Abstract. For words of length $n$, generated by independent geometric random variables, we consider the mean and variance of the number of inversions and of a parameter of Knuth from permutation in situ. In this way, $q$--analogues for these parameters from the usual permutation model are obtained.

helmut@gauss.cam.wits.ac.za,

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