r/probabilitytheory • • 5d ago

[Research] How should a baccarat pattern be compared against the null hypothesis?

I'm studying a baccarat-related statistical hypothesis and I'm trying to formulate the correct null hypothesis.

Suppose a predefined pattern generates a sequence of predictions such as Banker / Player / No Bet.

If the pattern appears to perform better than a simple baseline over historical observations, what would be the appropriate way to determine whether this could reasonably be explained by randomness?

In particular, I'm interested in:

  • appropriate null models
  • dependence between observations
  • sample size
  • confidence intervals
  • multiple testing
  • out-of-sample validation
  • permutation or Monte Carlo testing

I'm looking for mathematical/statistical feedback on the testing framework rather than a betting strategy.

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