The Frequentist Approach to Statistics

In frequentist statistics, the parameter is considered a fixed but unknown value. The sample space is the set of all possible observation values. Probability is interpreted as long-run relative frequency over all values in the sample space given the unknown parameter. The performance of any statistical procedure is determined by averaging 

Understanding Computational Bayesian Statistics. By William M. Bolstad 1 

The disputes Fisher had with the Neyman are legendary (Savage, 1976). Fisher strongly opposed the submerging of inference into decision theory and Neyman s denial that inference uses inductive logic. His specific criticisms about the Neyman-Pearson methods include  

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An alternative to the frequentist approach to statistics is based upon the use of probability to quantify the state of knowledge (or ignorance) regarding a quantity. This view is known as the personalist, subjectivist or Bayesian view (Morgan Henrion, 1990). For consistency throughout the text, we will use the term Bayesian . Unlike a frequentist approach, a Bayesian approach does not require assumptions about repeated trials in order to make... 

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