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It examines the use of computers in statistical data analysis.It also lists related books and links to related Web sites.
Some "softening" approaches utilize the concepts and techniques developed in the fuzzy set theory, the theory of possibility, and Dempster-Shafer theory.
The following Figure illustrates the three major schools of thought; namely, the Classical (attributed to Laplace), Relative Frequency (attributed to Fisher), and Bayesian (attributed to Savage). Plato, Jan von, Creating Modern Probability, Cambridge University Press, 1994.
" while another may ask "what is the probability that carbon-based life exists on it?
" Bruno de Finetti, in the introduction to his two-volume treatise on Bayesian ideas, clearly states that "Probabilities Do not Exist".
However, the Bayesian is better able to quantify the true uncertainty in his analysis, particularly when substantial prior information is available.
Bayesians are willing to assign probability distribution function(s) to the population's parameter(s) while frequentists are not.It is necessary to go into a Bayesian framework to give confidence intervals the probabilistic interpretation which practitioners often want to place on them.This insight is helpful in drawing attention to the point that another prior distribution would lead to a different interval.These Bayesian approaches are explicitly "subjective" in the sense that they deal with the plausibility which a rational agent ought to attach to the propositions he/she considers, "given his/her current state of knowledge and experience." By contrast, at least some non-Bayesian approaches consider probabilities as "objective" attributes of things (or situations) which are really out there (availability of data).A Bayesian and a classical statistician analyzing the same data will generally reach the same conclusion.The arrows in this figure represent some of the main criticisms among Objective, Frequentist, and Subjective schools of thought. This book provides a historical point of view on subjectivist and objectivist probability school of thoughts. Tanur, The Subjectivity of Scientists and the Bayesian Approach, Wiley, 2001.