Advanced Point-Spread Tactics: Bayesian Ratings & Distribution Modeling
Master point spreads using hierarchical ratings, distributional models and algorithmic middling.
1. Hierarchical Bayesian Power Ratings
- League-Level Priors: model team strengths with shared priors and team-specific deviations.
- Posterior Ratings: update ratings using MCMC or variational inference after each game.
- Shrinkage Effects: borrow strength from league data to stabilize small-sample ratings.
2. Margin Distribution via Convolution
- Offense/Defense PDFs: fit Gaussian or Skellam distributions to points for and against.
- Convolution: derive margin PDF
fM(m) = ∫fO(x) fD(x−m) dx
- Cover Probability: integrate tail of margin PDF beyond the spread.
3. Algorithmic Middling & Hedge Detection
- Middle Window Scan: detect when early spread < late spread – 1.
- Proportional Stakes: allocate to capture middle when final margin lands in that range.
- Exposure Monitoring: track open positions until both legs settle.
4. Cross-Market Synthetic Spreads
- Inter-Book Discrepancies: monitor spreads and alternative lines across sportsbooks.
- Synthetic Constructs: pair opposite spreads or overlay moneyline/total to create hedged outcomes.
- Correlation Control: size bets to neutralize directional bias.
5. Dynamic Kelly with Utility Maximization
- Utility Functions: define U(W) penalizing drawdowns.
- Fractional Kelly: apply a fraction of the Kelly stake based on risk aversion.
- Continuous Re-Optimization: recalc stakes as model P and market odds update.
Pro Tip: Automate your entire pipeline—data collection, model fitting, stake calculation, execution and performance logging—to eliminate emotional error and capture every edge.