Cumulative processes in basketball games

• Autorzy: I. Kopocińska , B. Kopociński
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 60K20: Applications of Markov renewal processes (reliability, queueing networks, etc.)
• 60G35: Signal detection and filtering

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2006
• Tom: 33
• Numer: 1
• Strony: 51-59

Daty

wydano

2006

Twórcy

autor

I. Kopocińska

• Mathematical Institute, Wrocław University, Pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland

autor

B. Kopociński

• Mathematical Institute, Wrocław University, Pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland

Identyfikatory

DOI

10.4064/am33-1-4