Statistics: Learning Probability Interpretations ver. 1

Last Updated on August 8, 2022 by shibatau

I. Probability Interpretations

Probability Interpretations try to answer what do we do with probability. There are two main position:

1.Probability measure the real, physical, tendency of something to occur

It is called physical, objective or frequency probabilities.

The two main interpretations of physical probability:

Frequentist interpretation: Venn, Reichenbach and von Mises.

Propensity interpretation: Popper, Miller, Giere and Fetzer.

2.Probability measure how strongly one believes something will occur

It is called evidential probability, also called Bayesian probability.

Evidential probabilities show how strongly he or she believes it will occur and can be calculated in terms of dispositions to gamble at certain odds.

The four main interpretation of evidential probability:

Classical interpretation: Laplace.

Subjective interpretation: de Finetti, Savage.

Epistemic or inductive interpretation: Ramsey, Cox.

Logical interpretation: Keynes, Carnap.


Probability interpretations

To be continued.

About shibatau

I was born and grown up in Kyoto. I studied western philosophy at the University and specialized in analytic philosophy, especially Ludwig Wittgenstein at the postgraduate school. I'm interested in new technology, especially machine learning and have been learning R language for two years and began to learn Python last summer. Listening toParamore, Sia, Amazarashi and MIyuki Nakajima. Favorite movies I've recently seen: "FREEHELD". Favorite actors and actresses: Anthony Hopkins, Denzel Washington, Ellen Page, Meryl Streep, Mia Wasikowska and Robert DeNiro. Favorite books: Fyodor Mikhailovich Dostoyevsky, "The Karamazov Brothers", Shinran, "Lamentations of Divergences". Favorite phrase: Salvation by Faith. Twitter: @shibatau

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