Analysis of Basketball Game States and Transition Probabilities Using the Markov Chains

Igor Jelaska, Slavko Trninić, Ante Perica University of Split, Faculty of Kinesiology 2KK "ECE Bulls" Kapfenberg, Austria.
Abstract The abstract system of a basketball game has been established in the paper. Parts of the game are marked with the common characteristics; they are repeated, therefore, they can be denoted with the category: game states. The presented model enables the recognition and analysis of interaction between the set of system states. The discretization of the continuous course or fl ow of a basketball game and the defi nition of equivalence among game states have given the prerequisites for the determination of transition probabilities between system states. Discrete stochastic processes and Markov chains were used for events modeling and transition probabilities calculation between the states. The matrix of transition probabilities has been structured between particular states of the Markov chain. The proposed model differentiates game states within four phases of game fl ow and enables the prediction of the future states.
	BASKETBALL / STATE OF THE GAME / GAME FLOW / POSITIONAL PLAY / TRANSITION PLAY / MARKOV CHAIN	Full Article Download (203kB)

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