arXiv:2604.17194stat.MLcs.LG2026-04

提出两种新方法,精准转换赔率概率,提升体育赛事预测与市场效率分析能力。

Forecast Sports Outcomes under Efficient Market Hypothesis: Theoretical and Experimental Analysis of Odds-Only and Generalised Linear Models

  • 基于赔率直接转换概率,不依赖历史数据,解决偏差问题。
  • 在9万场足球比赛数据中,新方法优于现有模型,真实竞赛中表现稳定。
  • 适合研究市场效率、体育预测或投注策略的学者与从业者。

将赔率转化为准确结果概率是利用赔率作为体育预测基准和市场效率分析工具的核心挑战。本文提出两种方法以克服现有转换方法的局限性。首先,提出无需历史数据建模的赔率仅方法(OO-EPC),该方法根据庄家利润均等化目标调整概率,基于涵盖5家博彩公司共90,014场足球比赛的数据集,实证显示其在多数庄家上优于乘法、Shin及幂律等现有赔率仅方法。其次,提出广义线性模型(FL-GLM),通过拟合单一参数捕捉冷热门偏差(Favourite-Longshot Bias),替代传统需复杂拟合的多元逻辑回归模型。在历史足球比赛数据中,所有庄家下,本方法均优于现有多项式与逻辑回归广义线性模型。此外,将该方法应用于年度篮球预测竞赛的六轮实际竞赛中,验证其在现实不确定性下的有效性。

原文摘要 · Abstract (English)

Converting betting odds into accurate outcome probabilities is a fundamental challenge in order to use betting odds as a benchmark for sports forecasting and market efficiency analysis. In this study, we propose two methods to overcome the limitations of existing conversion methods. Firstly, we propose an odds-only method to convert betting odds to probabilities without using historical data for model fitting. While existing odds-only methods, such as Multiplicative, Shin, and Power exist, they do not adjust for biases or relationships we found in our betting odds dataset, which consists of 90014 football matches across five different bookmakers. To overcome these limitations, our proposed Odds-Only-Equal-Profitability-Confidence (OO-EPC) method aligns with the bookmakers' pricing objectives of having equal confidence in profitability for each outcome. We provide empirical evidence from our betting odds dataset that, for the majority of bookmakers, our proposed OO-EPC method outperforms the existing odds-only methods. Beyond controlled experiments, we applied the OO-EPC method under real-world uncertainty by using it for six iterations of an annual basketball outcome forecasting competition. Secondly, we propose a generalised linear model that utilises historical data for model fitting and then converts betting odds to probabilities. Existing generalised linear models attempt to capture relationships that the Efficient Market Hypothesis already captures. To overcome this shortcoming, our proposed Favourite-Longshot-Bias-Adjusted Generalised Linear Model (FL-GLM) fits just one parameter to capture the favourite-longshot bias, providing a more interpretable alternative. We provide empirical evidence from historical football matches where, for all bookmakers, our proposed FL-GLM outperforms the existing multinomial and logistic generalised linear models.

体育预测赔率转化市场效率广义线性模型

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