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On Success Runs of Length Exceeded a Threshold

โœ Scribed by Frosso S. Makri; Zaharias M. Psillakis


Publisher
Springer US
Year
2009
Tongue
English
Weight
548 KB
Volume
13
Category
Article
ISSN
1387-5841

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Non-parametric randomness tests based on
โœ M.V. Koutras; V.A. Alexandrou ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 552 KB

Let X,, be a random variable enumerating the number of appearances of a specific pattern in a sequence of n Bernoulli trials. A new method is presented for obtaining the conditional distribution of X, given the number of successes in the n trials. The method is applied to three fixed-length run stat