Motivation to Run in One-Day Cricket

Paramahansa Pramanik () and Alan M. Polansky
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Paramahansa Pramanik: Department of Mathematics and Statistics, University of South Alabama, Mobile, AL 36688, USA
Alan M. Polansky: Department of Statistics and Actuarial Science, Northern Illinois University, DeKalb, IL 60115, USA

Mathematics, 2024, vol. 12, issue 17, 1-30

Abstract: This paper presents a novel approach to identify an optimal coefficient for evaluating a player’s batting average, strike rate, and bowling average, aimed at achieving an optimal team score through dynamic modeling using a path integral method. Additionally, it introduces a new model for run dynamics, represented as a stochastic differential equation, which factors in the average weather conditions at the cricket ground, the specific weather conditions on the match day (including abrupt changes that may halt the game), total attendance, and home field advantage. An analysis of real data is been performed to validate the theoretical results.

Keywords: one-day cricket; Feynman path integrals; stochastic differential games; sports physics (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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