Number of appearances of events in random sequences: a new generating function approach to Type II and Type III runs

Yong Kong ()
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Yong Kong: Yale University

Annals of the Institute of Statistical Mathematics, 2017, vol. 69, issue 2, No 10, 489-495

Abstract: Abstract Distributions of runs of length at least k (Type II runs) and overlapping runs of length k (Type III runs) are derived in a unified way using a new generating function approach. A new and more compact formula is obtained for the probability mass function of the Type III runs.

Keywords: Runs statistics; Generating function; Asymptotic distributions; Factorial moments; Wilf-Zeilberger method (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1007/s10463-015-0549-2

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