Maximum length of a series in a Markovian binary sequence with an application to the description of a basketball game

I. Kopocińska; B. Kopociński

Applicationes Mathematicae (2006)

  • Volume: 33, Issue: 1, page 61-69
  • ISSN: 1233-7234

Abstract

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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.

How to cite

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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 -

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