22 research outputs found

    Cricket Interruptus: Fairness and Incentive in Interrupted Cricket Matches

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    We present a new adjustment rule for interrupted cricket matches that equalizes the probability of winning before and after the interruption. Our proposal differs from existing rules in the quantity preserved (the probability of winning) and also in the point at which it is measured (the time of interruption). We claim this is both fair and free of incentive effects. We give several examples of how our rule could have been applied in past matches including some in which the ultimate result might have been different

    A short comparative study on modified Duckworth-Lewis methods.

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    In this paper, the Duckworth-Lewis-Stern (DLS) and Duckworth-Lewis-McHale-Asif (DLMA) methods of revising targets for a team batting in second innings in an interrupted Limited Overs International Cricket (LOI), are examined for fairness. The work discusses four significant points: flexibility, intuition, simplicity, and goodness-of-fit of the two mentioned methods. The research findings have shown that the DLMA method is better in every aspect than the DLS method. Further, the data of 1764 ODI matches played during 2004-2021 to investigate the compatibility of the DLMA for high run-scoring One-Day International matches. The results show that DLMA is compatible to the situation of the well-above run-scoring situation

    Cricket Interruptus: Fairness and Incentive in Interrupted Cricket Matches

    Get PDF
    We present a new adjustment rule for interrupted cricket matches that equalizes the probability of winning before and after the interruption. Our proposal differs from existing rules in the quantity preserved (the probability of winning) and also in the point at which it is measured (the time of interruption). We claim this is both fair and free of incentive effects. We give several examples of how our rule could have been applied in past matches including some in which the ultimate result might have been different

    A Probabilistic Approach to Identifying Run Scoring Advantage in the Order of Playing Cricket

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    In the game of cricket, the result of coin toss is assumed to be one of the determinants of match outcome. The decision to bat first after winning the toss is often taken to make the best use of superior pitch conditions and set a big target for the opponent. However, the opponent may fail to show their natural batting performance in the second innings due to a number of factors, including deteriorated pitch conditions and excessive pressure of chasing a high target score. The advantage of batting first has been highlighted in the literature and expert opinions, however, the effect of batting and bowling order on match outcome has not been investigated well enough to recommend a solution to any potential bias. This study proposes a probability theory-based model to study venue-specific scoring and chasing characteristics of teams under different match outcomes. A total of 1117 one-day international matches held in ten popular venues are analyzed to show substantially high scoring advantage and likelihood when the winning team bat in the first innings. Results suggest that the same 'bat-first' winning team is very unlikely to score or chase such a high score if they were to bat in the second innings. Therefore, the coin toss decision may favor one team over the other. A Bayesian model is proposed to revise the target score for each venue such that the winning and scoring likelihood is equal regardless of the toss decision. The data and source codes have been shared publicly for future research in creating competitive match outcomes by eliminating the advantage of batting order in run scoring

    Using statistics to detect match fixing in sport

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    Proceedings of Mathsport international 2017 conference

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    Proceedings of MathSport International 2017 Conference, held in the Botanical Garden of the University of Padua, June 26-28, 2017. MathSport International organizes biennial conferences dedicated to all topics where mathematics and sport meet. Topics include: performance measures, optimization of sports performance, statistics and probability models, mathematical and physical models in sports, competitive strategies, statistics and probability match outcome models, optimal tournament design and scheduling, decision support systems, analysis of rules and adjudication, econometrics in sport, analysis of sporting technologies, financial valuation in sport, e-sports (gaming), betting and sports
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