The Lindley paradox, information and generalized functions

I
ISUMA
1995
3rd International Symposium on Uncertainty Modelling and Analysis
Abstract - The Lindley paradox, information and generalized functions

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3rd International Symposium on Uncertainty Modelling and Analysis

College Park, Maryland

March 17-March 20

ISBN: 0-8186-7126-2

	ASCII Text	x
	K. Breitung, "The Lindley paradox, information and generalized functions," Uncertainty Modeling and Analysis, International Symposium on, pp. 720, 3rd International Symposium on Uncertainty Modelling and Analysis, 1995.

	BibTex	x
	@article{ 10.1109/ISUMA.1995.527783, author = {K. Breitung}, title = {The Lindley paradox, information and generalized functions}, journal ={Uncertainty Modeling and Analysis, International Symposium on}, volume = {0}, year = {1995}, issn = {1068-2228}, pages = {720}, doi = {http://doi.ieeecomputersociety.org/10.1109/ISUMA.1995.527783}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, }

	RefWorks Procite/RefMan/Endnote	x
	TY - CONF JO - Uncertainty Modeling and Analysis, International Symposium on TI - The Lindley paradox, information and generalized functions SN - 1068-2228 SP EP A1 - K. Breitung, PY - 1995 KW - probability; Bayes methods; Lindley paradox; generalized functions; information; sharp point hypothesis; Bayesian results; point null hypothesis VL - 0 JA - Uncertainty Modeling and Analysis, International Symposium on ER -

K. Breitung, Dept. of Civil Eng., Calgary Univ., Alta., Canada

DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/ISUMA.1995.527783

In testing a sharp point hypothesis there is a difference between frequentist and Bayesian results. Even for sample sizes increasing to infinity, Bayesian methods accept the point null hypothesis for values where the frequentist method leads to rejection. This is called the Lindley paradox. Here it is attempted to explain this. The reason appears to be not a specific feature of Bayesian methods, but a misuse of the theorem of Bayes.

Index Terms:

probability; Bayes methods; Lindley paradox; generalized functions; information; sharp point hypothesis; Bayesian results; point null hypothesis

Citation:

K. Breitung, "The Lindley paradox, information and generalized functions," isuma, pp.720, 3rd International Symposium on Uncertainty Modelling and Analysis, 1995

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