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Missing the (Bayesian) wood for the trees?

Authors: Soto-Andrade, Jorge;

Missing the (Bayesian) wood for the trees?

Abstract

Nos proponemos aquí fundamentar nuestra afirmación que el uso intensivo de los árboles par abordar problemas Bayesianos nos puede llevar a “no ver el bosque Bayesiano”; particularmente si nos enfocamos solamente en árboles estáticos ignorando los paseos aleatorios relevantes sobre ellos. Nuestro punto principal es que por el contrario los paseos al azar en redes o rejillas, proveen una metáfora más fructífera y perspicaz para enfrentar problemas Bayesianos y discernir los “flujos Bayesianos” subyacentes. Además de recordar los principales principios de nuestro trasfondo teórico, discutimos más abajo la relación de nuestras afirmaciones con investigaciones relacionadas en este campo y damos ejemplos de aula ilustrativos, emergentes, principalmente de nuestra enseñanza de la estocástica a estudiantes universitarios de primer año sin inclinación matemática y futuros profesores de matemáticas.

We intend here to substantiate the claim that the intensive use of trees to tackle Bayesian problems may lead us to “miss the Bayesian wood”, particularly if we just focus on the static trees and ignore germane random walks on them. Our main point is that random walks on networks or grids instead, provide a more fruitful and insightful metaphor to address Bayesian problems and fathom the underlying “Bayesian flows”. Besides recalling the main tenets of our theoretical background, we discuss below the relation of our claims with related research in this field and give some illustrative classroom examples, arising mainly from our teaching stochastics to non-mathematically inclined first year university students and prospective mathematics teachers.

III Congreso Internacional Virtual de Educación Estadística (CIVEEST), 21-24 febrero de 2019. [www.ugr.es/local/fqm126/civeest.html]

Country
Spain
Related Organizations
Keywords

Arbol, Bayesiano, Bayesian, Trees

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average