In enumerations, frequentist approach has often happened considered as the only appropriate way to complete activity scientific and used work. However, since the 1950s, Bayesian statistics has existed progressively make progress in academia. The purpose of this study search out demonstrate the points of encounter middle from two points these two apparently opposite currents of understanding. For it, several topics are inspected, explaining what Bayes’ Theorem is by way of didactic examples. On the other hand, it is proved that the frequentist reject the main postulate of the Bayesian approach, but are strained to replace it with alternative answers, the most statement being the Maximum Likelihood. Facing this discrepancy, it is suggested that maybe a misinterpretation middle from two points both approaches and offer examples at which point Bayes’ postulate and the Maximum Likelihood standard yield the same mathematical answer. Then, inferences from a priori news, both non-educational and informative, are analyzed and the probable proposals of two together schools are explored. In addition, the fiducial approach, that works with adequate statistics, is explained. All these aspects are discussed from the numerical perspectives of famous statisticians such as Fisher, Keynes, Carnap, Good, Durbin, Box, Giere, Neyman, Pearson, among remainder of something. In addition, philosophical arrogance that philosophers to a degree Lakatos, Popper and Kuhn, among others, have abandoned to offer are sought in consideration of establish a possible conciliation between these currents of mathematical thought in apparent conflict.
Author(s) Details:
Juan Carlos Abril,
Universidad
Nacional de Tucumán and Consejo Nacional de Investigaciones Científicas y
Técnicas (CONICET), Argentina.
María
de las Mercedes Abril,
Universidad
Nacional de Tucumán and Consejo Nacional de Investigaciones Científicas y
Técnicas (CONICET), Argentina.
Please see the link here: https://stm.bookpi.org/RATMCS-V4/article/view/11817
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