Maximum length of a series in a Markovian binary sequence with an application to the description of a basketball game
Volume 33 / 2006
Applicationes Mathematicae 33 (2006), 61-69
MSC: Primary 60G35; Secondary 60K20.
DOI: 10.4064/am33-1-5
Abstract
The recurrence formulas for the probability distribution function of the maximum length of a series of 1's in a binary 0-1 Markovian sequence are analysed and the limiting distribution estimated. The result is used to test a semi-Markov model of basketball games.
