Maximum length of a series in a Markovian
binary sequence with an application
to the description of a basketball game
Applicationes Mathematicae, Tome 33 (2006) no. 1, pp. 61-69
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
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.
Keywords:
recurrence formulas probability distribution function maximum length series binary markovian sequence analysed limiting distribution estimated result test semi markov model basketball games
Affiliations des auteurs :
I. Kopoci/nska 1 ; B. Kopoci/nski 1
@article{10_4064_am33_1_5,
author = {I. Kopoci/nska and B. Kopoci/nski},
title = {Maximum length of a series in a {Markovian
} binary sequence with an application
to the description of a basketball game},
journal = {Applicationes Mathematicae},
pages = {61--69},
year = {2006},
volume = {33},
number = {1},
doi = {10.4064/am33-1-5},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/am33-1-5/}
}
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%0 Journal Article %A I. Kopoci/nska %A B. Kopoci/nski %T Maximum length of a series in a Markovian binary sequence with an application to the description of a basketball game %J Applicationes Mathematicae %D 2006 %P 61-69 %V 33 %N 1 %U http://geodesic.mathdoc.fr/articles/10.4064/am33-1-5/ %R 10.4064/am33-1-5 %G en %F 10_4064_am33_1_5
I. Kopoci/nska; B. Kopoci/nski. Maximum length of a series in a Markovian binary sequence with an application to the description of a basketball game. Applicationes Mathematicae, Tome 33 (2006) no. 1, pp. 61-69. doi: 10.4064/am33-1-5
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