We propose an original mathematical model according to a Bayesian approach explaining uncertainty from a point of view connected with vector spaces. A parameter space can be represented by means of random quantities by accepting the principles of the theory of concordance into the domain of subjective probability. We observe that metric properties of the notion of -product mathematically fulfill the ones of a coherent prevision of a bivariate random quantity. We introduce fundamental metric expressions connected with transformed random quantities representing changes of origin. We obtain a posterior probability law by applying the Bayes’ theorem into a geometric context connected with a two-dimensional parameter space.

An original and additional mathematical model characterizing a Bayesian approach to decision theory / Angelini, Pierpaolo. - In: JOURNAL OF MATHEMATICS RESEARCH. - ISSN 1916-9795. - 11:3(2019).

An original and additional mathematical model characterizing a Bayesian approach to decision theory

PIERPAOLO ANGELINI
Primo
2019

Abstract

We propose an original mathematical model according to a Bayesian approach explaining uncertainty from a point of view connected with vector spaces. A parameter space can be represented by means of random quantities by accepting the principles of the theory of concordance into the domain of subjective probability. We observe that metric properties of the notion of -product mathematically fulfill the ones of a coherent prevision of a bivariate random quantity. We introduce fundamental metric expressions connected with transformed random quantities representing changes of origin. We obtain a posterior probability law by applying the Bayes’ theorem into a geometric context connected with a two-dimensional parameter space.
2019
vector space; parameter space; antisymmetric tensor; alpha-product; alpha-norm; change of origin
01 Pubblicazione su rivista::01a Articolo in rivista
An original and additional mathematical model characterizing a Bayesian approach to decision theory / Angelini, Pierpaolo. - In: JOURNAL OF MATHEMATICS RESEARCH. - ISSN 1916-9795. - 11:3(2019).
File allegati a questo prodotto
File Dimensione Formato  
Angelini_An original_2019.pdf

accesso aperto

Tipologia: Versione editoriale (versione pubblicata con il layout dell'editore)
Licenza: Creative commons
Dimensione 89.74 kB
Formato Adobe PDF
89.74 kB Adobe PDF

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1258060
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact