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Ascending runs of sequences of geometrically distributed random variables: a probabilistic analysis

โœ Scribed by Guy Louchard; Helmut Prodinger


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
216 KB
Volume
10
Category
Article
ISSN
1571-0653

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Ascending runs of sequences of geometric
โœ Guy Louchard; Helmut Prodinger ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 413 KB

Using a Markov chain approach and a polyomino-like description, we study some asymptotic properties of sequences of ascending runs of geometrically distributed random variables. We analyze the limiting trajectories, the number of runs and the run length distribution, the hitting time to a length k r