On the Expected Number of Limited Length Binary Strings Derived by Certain Urn Models. (23rd October 2014)

• Record Type: Journal Article
• Authors: Makri, Frosso S.; Psillakis, Zaharias M.
• Other Names: Kim Tae-Sung Academic Editor.
• Is Part Of: Journal of probability. Volume 2014(2014)
• Publication Date: 2014-10-23
• Subjects: Probabilities -- Periodicals; Mathematical statistics -- Periodicals; Mathematical statistics; Probabilities; Periodicals; 519.2
• DOI: 10.1155/2014/646140
• Languages: English
• ISSNs: 2356-7589

Abstract

Abstract : The expected number of 0-1 strings of a limited length is a potentially useful index of the behavior of stochastic processes describing the occurrence of critical events (e.g., records, extremes, and exceedances). Such model sequences might be derived by a Hoppe-Polya or a Polya-Eggenberger urn model interpreting the drawings of white balls as occurrences of critical events. Numerical results, concerning average numbers of constrained length interruptions of records as well as how on the average subsequent exceedances are separated, demonstrate further certain urn models.