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Motivation to Run in One-Day Cricket

Author

Listed:
  • 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)

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.

Suggested Citation

  • Paramahansa Pramanik & Alan M. Polansky, 2024. "Motivation to Run in One-Day Cricket," Mathematics, MDPI, vol. 12(17), pages 1-30, September.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:17:p:2739-:d:1469844
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    References listed on IDEAS

    as
    1. Pam Norton & Ravi Phatarfod, 2008. "Optimal Strategies In One-Day Cricket," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 25(04), pages 495-511.
    2. Ljungqvist, Lars & Sargent, Thomas J., 2012. "Recursive Macroeconomic Theory, Third Edition," MIT Press Books, The MIT Press, edition 3, volume 1, number 0262018748, April.
    Full references (including those not matched with items on IDEAS)

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