Cumulative processes in basketball games

I. Kopocińska; B. Kopociński

Applicationes Mathematicae (2006)

  • Volume: 33, Issue: 1, page 51-59
  • ISSN: 1233-7234

Abstract

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We assume that the current score of a basketball game can be modeled by a bivariate cumulative process based on some marked renewal process. The basic element of a game is a cycle, which is concluded whenever a team scores. This paper deals with the joint probability distribution function of this cumulative process, the process describing the host's advantage and its expected value. The practical usefulness of the model is demonstrated by analyzing the effect of small modifications of the model parameters on the outcome of a game. The 2001 Lithuania-Latvia game is used as an example.

How to cite

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I. Kopocińska, and B. Kopociński. "Cumulative processes in basketball games." Applicationes Mathematicae 33.1 (2006): 51-59. <http://eudml.org/doc/278883>.

@article{I2006,
abstract = {We assume that the current score of a basketball game can be modeled by a bivariate cumulative process based on some marked renewal process. The basic element of a game is a cycle, which is concluded whenever a team scores. This paper deals with the joint probability distribution function of this cumulative process, the process describing the host's advantage and its expected value. The practical usefulness of the model is demonstrated by analyzing the effect of small modifications of the model parameters on the outcome of a game. The 2001 Lithuania-Latvia game is used as an example.},
author = {I. Kopocińska, B. Kopociński},
journal = {Applicationes Mathematicae},
keywords = {applied probability; Markov processes; sports; bivariate cumulative process; marked renewal process; basketball game modelling},
language = {eng},
number = {1},
pages = {51-59},
title = {Cumulative processes in basketball games},
url = {http://eudml.org/doc/278883},
volume = {33},
year = {2006},
}

TY - JOUR
AU - I. Kopocińska
AU - B. Kopociński
TI - Cumulative processes in basketball games
JO - Applicationes Mathematicae
PY - 2006
VL - 33
IS - 1
SP - 51
EP - 59
AB - We assume that the current score of a basketball game can be modeled by a bivariate cumulative process based on some marked renewal process. The basic element of a game is a cycle, which is concluded whenever a team scores. This paper deals with the joint probability distribution function of this cumulative process, the process describing the host's advantage and its expected value. The practical usefulness of the model is demonstrated by analyzing the effect of small modifications of the model parameters on the outcome of a game. The 2001 Lithuania-Latvia game is used as an example.
LA - eng
KW - applied probability; Markov processes; sports; bivariate cumulative process; marked renewal process; basketball game modelling
UR - http://eudml.org/doc/278883
ER -

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