An Essay on the Double Nature of the Probability
Paolo Rocchi, Leonida Gianfagna
IBM, via Shangai 53, Roma, Italy.
DOI: 10.4236/apm.2012.25041   PDF    HTML   XML   5,052 Downloads   10,851 Views   Citations


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.

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P. Rocchi and L. Gianfagna, "An Essay on the Double Nature of the Probability," Advances in Pure Mathematics, Vol. 2 No. 5, 2012, pp. 305-309. doi: 10.4236/apm.2012.25041.

Conflicts of Interest

The authors declare no conflicts of interest.


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