Generate and size combinations of wagers (straights and parlays).
Summary
Functions
Generate combinations of bets based on the provided sizes.
Calculate optimal Kelly stakes for a set of correlated bets.
Types
Functions
@spec generate([PainStaking.edge()], size_spec()) :: [ {PainStaking.edge(), [integer()]} ]
Generate combinations of bets based on the provided sizes.
sizes can be a list of integers, a range, or the atom :all.
Returns a list of {edge, [indices]} where indices are the positions in base_edges.
Examples
iex> e1 = {"1", [prob: 0.5], [eu: 2.0]}
iex> e2 = {"2", [prob: 0.5], [eu: 2.0]}
iex> combos = PainStaking.Combinations.generate([e1, e2], :all)
iex> Enum.count(combos)
3@spec kelly([PainStaking.edge()], [{PainStaking.edge(), [integer()]}], keyword()) :: {:ok, [PainStaking.tagged_number()]}
Calculate optimal Kelly stakes for a set of correlated bets.
This function accounts for the correlations between parlays and their underlying legs by maximizing expected logarithmic growth across the joint distribution.
Examples
iex> e1 = {"A", [prob: 0.5], [eu: 2.2]}
iex> e2 = {"B", [prob: 0.5], [eu: 2.2]}
iex> base = [e1, e2]
iex> candidates = PainStaking.Combinations.generate(base, [1, 2])
iex> {:ok, results} = PainStaking.Combinations.kelly(base, candidates)
iex> Enum.count(results)
3
iex> Enum.all?(results, fn {name, amt} -> is_binary(name) and is_float(amt) end)
true