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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.
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 -