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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.
I. Kopocińska, and B. Kopociński. "Maximum length of a series in a Markovian binary sequence with an application to the description of a basketball game." Applicationes Mathematicae 33.1 (2006): 61-69. <http://eudml.org/doc/279823>.
@article{I2006, 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.}, author = {I. Kopocińska, B. Kopociński}, journal = {Applicationes Mathematicae}, keywords = {binary sequence; maximum length series; limiting distribution}, language = {eng}, number = {1}, pages = {61-69}, title = {Maximum length of a series in a Markovian binary sequence with an application to the description of a basketball game}, url = {http://eudml.org/doc/279823}, volume = {33}, year = {2006}, }
TY - JOUR AU - I. Kopocińska AU - B. Kopociński TI - Maximum length of a series in a Markovian binary sequence with an application to the description of a basketball game JO - Applicationes Mathematicae PY - 2006 VL - 33 IS - 1 SP - 61 EP - 69 AB - 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. LA - eng KW - binary sequence; maximum length series; limiting distribution UR - http://eudml.org/doc/279823 ER -