Axiomatic Probability Function

An Axiomatic Probability Function is a abstract probability function that abides by Kolmogorov Probability Function Axioms.

• AKA: Analytical Probability Function.
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• Example(s):
  • P()=0.0; P(H)=0.5; P(T)=0.5; P({H,T})=1.0, that represents a Fair Coin Toss Experiment Uniform Binomial Process.
  • [math]\displaystyle{ P(\Omega,{H,T}) \rightarrow 1.0 }[/math], for a heads or tail event in a P(Coin Toss Experiment.
  • [math]\displaystyle{ P(\Omega,{H}) \rightarrow 0.5 }[/math], for Heads Event [math]\displaystyle{ E }[/math] in a Fair Coin Toss Experiment.
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• See: Empirical Probability Function, Probability Measure.

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