Positioning Bayesian inference as a particular application of frequentist inference and vice versa
Christian Bartels
10.6084/m9.figshare.867707.v4
https://figshare.com/articles/journal_contribution/Positioning_Bayesian_inference_as_a_particular_application_of_frequentist_inference_and_vice_versa/867707
<p>Bayesian and frequentist inference are sometimes positioned as two mutually exclusive alternatives for analysing data and drawing conclusions. Here, a framework is proposed to position Bayesian inference as a particular application of frequentist inference and vice versa. As a result Bayesian inference and frequentist inference can be seen as two special cases of the more general problem of predicting future observations based on existing observations.</p>
<p>In this light Bayesian and frequentist inference appear as two complementary and compatible approaches to relate data to probability models. The two approaches ask different questions. For a given problem, one may decide which of the questions to ask and whether to use any one of the two or combine both approaches.</p>
2014-02-10 16:54:13
Bayesian
likelihood
frequentist
Statistics
Probability