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The problems and paradoxes of the classical interpretation of probability motivated the development of the relative frequency concept of probability.

Most of the mathematics commonly used to make statistical estimates or tests are developed by statisticians who use this concept exclusively. They are usually called **frequentists**, and their position is called **frequentism**. A statistician who uses traditional methods of inference is therefore referred to as a *frequentist* statistician. Frequentism is, by far, the most commonly held view among working statisticians, probability theorists and physicists.

Frequentists talk about probabilities only when dealing with well-defined *random experiments*. The outcomes of a random experiment are called its possible *events*, and the set of all possible events is called the *sample space* of the experiment. The relative frequency of occurrence of an event in the sample space, when repeating the experiment, is a measure of the probability of that random event.

This school is often associated with the names of Jerzy Neyman and Egon Pearson who described the logic of statistical hypothesis testing. Other influential figures of the frequentist school include John Venn, R.A. Fisher, and Richard von Mises.

## See also[edit | edit source]

- probability interpretations
- Bayesian probability
- eclectic probability
- probability
- statistics
- statistical regularity
- probability axioms
- games of chance

## External links[edit | edit source]

- Charles Friedman,
*The Frequency Interpretation in Probability*PS - John Venn, The Logic of Chance

## Bibliography[edit | edit source]

- P W Bridgman,
*The Logic of Modern Physics*, 1927 - Alonzo Church,
*The Concept of a Random Sequence*, 1940 - Harald Cramér,
*Mathematical Methods of Statistics*, 1946 - P Martin-Löf,
*On the Concept of a Random Sequence*, 1966 - Richard von Mises,
*Probability, Statistics, and Truth*, 1939 (German original 1928) - Jerzy Neyman,
*First Course in Probability and Statistics*, 1950 - Hans Reichenbach,
*The Theory of Probability*, 1949 (German original 1935) - Bertrand Russell,
*Human Knowledge*, 1948 - John Venn,
*The Logic of Chance*, 1866

de:Frequentistischer Wahrscheinlichkeitsbegriff su:Frequency probability

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