Bayes Signification Tests in Linear Regression and Economic Applications

Ciuiu, Daniel

doi:10.2478/mmce-2013-0002

Abstract

In this paper we will use the statistical inference, in particular the Bayes tests for the signification of the parameters of linear regression. We will consider the cases of known variance, and unknown variance respectively. Because we replace the Student tests by the Z tests in practice if the involved number of degrees of freedom is at least 30 , we can replace the case of unknown variance with that of known variance in our paper, if the above number of degrees of freedom is at least 30 . Because in economics we generally know the signs of the involved parameters, in practice the one-sided parametric tests are used. However, in this paper we will refer also to the two-sided Bayes test.

References

[1] Ciuiu, D. (2007), Bayes, Neyman and Neyman-Bayes Inference for Queueing Systems, in MathematicalModelling in Civil Engineering (Scientific Bulletin of Technical University of Civil Engineering, Bucharest),3(4), 46-57.
Search in Google Scholar
[2] Ciuiu, D. (2010), Informational Criteria for the Homoscedasticity of the Errors, in Romanian Journal ofEconomic Forecasting, XIII(2),231-244.
Search in Google Scholar
[3] Ciumara, R. (2005), A Bayesian Approach in the Collective Risk Model Involving Weighted Quadratic Loss Function, in Mathematical Reports, 7(57),1, 21-37.
Search in Google Scholar
[4] Dumitrescu, M., Panaite, V. (2003), Complete Neyman-Bayes Estimation Procedures for the Mean of a Normal Distribution, in Analele Universităţii Bucureşti, 1, 31-43.
Search in Google Scholar
[5] Gelman, A. et al. (2000), Bayesian Data Analysys, Chapman & Hall/CRC.
Search in Google Scholar
[6] Iatan, I.F. (2005), Classification Using Bayesian Approach: Gaussian Case, in Analele Universităţii Bucureşti, 1, 55-64.
Search in Google Scholar
[7] Jula, D. (2003), Introducere în econometrie, Editura Professional Consulting, Bucureşti.
Search in Google Scholar
[8] Jun S. Liu, 1996, Nonparametric hierarhical Bayes via sequential imputations, in The Annals of Statistics, 24(3), 911-930.10.1214/aos/1032526949
Search in Google Scholar
[9] A.Y. Lo, Cabrera, J. (1987), Bayes procedures for rotationally symmetric models on the sphere, in The Annalsof Statistics, 15(3), 1257-1268.10.1214/aos/1176350504
Search in Google Scholar
[10] Preda, V. (1992), Teoria deciziilor statistice, Ed. Academiei, Bucureşti.
Search in Google Scholar
[11] Saporta, G. (1990), Probabilités, Analyse des Donées et Statistique, Ed. Technip, Paris.
Search in Google Scholar
[12] Văduva, I. (2004), Modele de simulare, Ed. Universităţii Bucureşti.
Search in Google Scholar
[13] Voineagu, V. et al. (2007), Teorie şi practică econometrică, Meteor Press, Bucureşti.
Search in Google Scholar

Bayes Signification Tests in Linear Regression and Economic Applications

Abstract

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