Exact formulas for moments of sums of classical parking functions

  • Authors:

  • Joseph P. S. Kung;Catherine Yan

  • Affiliations:

  • Department of Mathematics, University of North Texas, Denton, TX 76203, USA;Department of Mathematics, Texas A&M University, College Station, TX 77843, USA

  • Venue:
  • Advances in Applied Mathematics
  • Year:
  • 2003

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Abstract

For given positive integers a and b, an [a,b]-parking function of length n is a sequence (x"1,x"2,...,x"n) of positive integers whose order statistics x"("i") (the sequence obtained by rearranging the original sequence in non-decreasing order) satisfy the inequalities x"("i")=