Markovian modeling of match results with an application

Abstract

Our main goal in this paper is to propose a mathematical model in order to use it to study the historical achievements of a particular team in order to stand on the evolutionary behavior of the team and to be able to predict the future results of the team by measuring the team’s performance through the total number of victories, losses and draws in official matches approved.

Our main idea is to use a Markov model to find the results of matches, so that the outcome of each match is one of the specified cases: win or lose or draw.

Subject Classification:

• 60J05
• 60J10
• 60J20
• [See also 90B30, 91D10, 91E40]

Keywords:

• Stochastic process
• Markov model
• Steady-State probability