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An Essay on the Double Nature of the Probability
IBM, via Shangai 53, Roma, Italy
IBM, via Shangai 53, Roma, Italy
- 1 IBM, via Shangai 53, Roma, Italy
- 2 IBM, via Shangai 53, Roma, Italy
Advances in Pure Mathematics·Volume 02 (2012)·Pages 305–309·Published 25 September 2012·DOI10.4236/apm.2012.25041
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Abstract
Classical statistics and Bayesian statistics refer to the frequentist and subjective theories of probability respectively. Von Mises and De Finetti, who authored those conceptualizations, provide interpretations of the probability that appear incompatible. This discrepancy raises ample debates and the foundations of the probability calculus emerge as a tricky, open issue so far. Instead of developing philosophical discussion, this research resorts to analytical and mathematical methods. We present two theorems that sustain the validity of both the frequentist and the subjective views on the probability. Secondly we show how the double facets of the probability turn out to be consistent within the present logical frame.
KeywordsTheory of ProbabilitySubjectivismFrequentismTheorem of Large NumbersProbability Dualism
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