Bayesians Versus Frequentists: A Philosophical Debate on by Jordi Vallverdú

By Jordi Vallverdú

This booklet analyzes the origins of statistical considering in addition to its similar philosophical questions, akin to causality, determinism or likelihood. Bayesian and frequentist methods are subjected to a ancient, cognitive and epistemological research, making it attainable not to simply evaluate the 2 competing theories, yet to additionally discover a strength answer. The paintings pursues a naturalistic process, continuing from the life of numerosity in ordinary environments to the lifestyles of up to date formulation and methodologies to heuristic pragmatism, an idea brought within the book’s ultimate part. This monograph can be of curiosity to philosophers and historians of technological know-how and scholars in comparable fields. regardless of the mathematical nature of the subject, no statistical history is needed, making the booklet a important learn for someone drawn to the heritage of data and human cognition.

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Extra resources for Bayesians Versus Frequentists: A Philosophical Debate on Statistical Reasoning (SpringerBriefs in Statistics)

Sample text

It was the year 1760, in the middle of an intense controversy on the benefits of inoculation that had started with the works of Pierre Louis Moreau de Maupertius (1698–1759) and Charles Marie de la Condamine (1701–1774). The latter, especially, has written several memoranda favoring the introduction of inoculation into France, then a very young technique (Dietz and Heesterbeek 2002). Daniel Bernoulli wrote a paper modeling smallpox, using Halley’s life table and some data concerning smallpox to show that inoculation was advantageous if the associated risk of dying was less than 11 %.

This also made possible a mathematization of the whole human sphere, allowing the birth of the social mathematics, by Condorcet, as well as the consequent positivist view of Auguste Comte. 5 From Dice to Vaccines and Assurance Companies: The Birth of Probability 1660 is the year, if we follow Hacking (1984, 1990), of the birth of probability. But several things concurred in order to generate the complex and extended notion of probability, which we will analyze in this section. 1 First of All, Vaccines The dispute between Daniel Bernoulli and Jean Le Rond D’Alembert on the efficacy and utility of smallpox vaccination was a different context in which the probability issues were discussed, far from previous recreational, hypothetical, or mathematical discussions.

Gigerenzer, Gerd, et al. (1989). The empire of chance: How probability changed science and everyday life. UK: Cambridge University Press. Gould, S. J. (1997). Questioning the Millennium. USA: Harmony Books. Hacking, Ian. (1984). The emergence of probability: A philosophical study of early ideas about probability, induction and statistical inference. UK: CUP. Hacking, Ian. (1990). The taming of chance. UK: Cambridge University Press. Hald, A. (1988). A history of probability and statistics and their applications before 1750.

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