Abstract
In this paper we introduce a new methodology to determine an optimal coefficient for a positive finite measure of batting average, strike rate, and bowling average of a player in order to get an optimal score of a team under dynamic modeling using a path integral method. We also introduce new run dynamics modeled as a stochastic differential equation in order to incorporate the average weather conditions at the cricket ground, the weather condition on the day of the match including sudden deterioration which leads to a partial or complete stop of the game, total attendance, and home field advantage.
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