Geodesic
Cumulative processes in basketball games
I. Kopoci/nska 1   ; B. Kopoci/nski 1
1 Mathematical Institute Wroc/law University Pl. Grunwaldzki 2/4 50-384 Wroc/law, Poland
Applicationes Mathematicae, Tome 33 (2006) no. 1, pp. 51-59 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/am33-1-4
Keywords: assume current score basketball game modeled bivariate cumulative process based marked renewal process basic element game cycle which concluded whenever team scores paper deals joint probability distribution function cumulative process process describing hosts advantage its expected value practical usefulness model demonstrated analyzing effect small modifications model parameters outcome game lithuania latvia game example

I. Kopoci/nska  1   ; B. Kopoci/nski  1

1 Mathematical Institute Wroc/law University Pl. Grunwaldzki 2/4 50-384 Wroc/law, Poland 
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I. Kopoci/nska; B. Kopoci/nski. Cumulative processes in basketball games. Applicationes Mathematicae, Tome 33 (2006) no. 1, pp. 51-59. doi: 10.4064/am33-1-4

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