2013/07/17 by Giovanni Mana, Mana, Giovanni, Paolo Alberto Giuliano Albo +3
Mathematics · Physics and Astronomy · #Data Analysis #FOS: Mathematics #FOS: Physical sciences #Probability (math.PR) #Statistics Theory (math.ST) #Statistics and Probability (physics.data-an) #math.PR #math.ST #physics.data-an #stat.TH
paper · pdf · doi:10.48550/arxiv.1307.4602
10 pages, 5 figures, submitted to Metrologia
arxiv created 2013/07/17 · arxiv updated 2013/07/18
A widely used method to create a continuous representation of a discrete data-set is regression analysis. When the regression model is not based on a mathematical description of the physics underlying the data, heuristic techniques play a crucial role and the model choice can have a significant impact on the result. In this paper, the problem of identifying the most appropriate model is formulated and solved in terms of Bayesian selection. Besides, probability calculus is the best way to choose among different alternatives. The results obtained are applied to the case of both univariate and bivariate polynomials used as trial solutions of systems of thermodynamic partial differential equations.