Papers by Larry Bretthorst
Maximum Entropy and Bayesian Methods, 1990
Page 1. in Maximum Entropy and Bayesian Methods, Dartmouth, 1989, pp. 53-79, PF Fougèere (ed.) Kl... more Page 1. in Maximum Entropy and Bayesian Methods, Dartmouth, 1989, pp. 53-79, PF Fougèere (ed.) Kluwer Academic Publishers, The Netherlands. (1990) AN INTRODUCTION TO PARAMETER ESTIMATION USING BAYESIAN PROBABILITY THEORY ...
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Maximum Entropy and Bayesian Methods, 1992
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Maximum Entropy and Bayesian Methods, 1989
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Lecture Notes in Statistics, 1988
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Lecture Notes in Statistics, 1988
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Maximum Entropy and Bayesian Methods, 1989
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Lecture Notes in Statistics, 1988
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Lecture Notes in Statistics, 1988
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AIP Conference Proceedings, 2001
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AIP Conference Proceedings, 2003
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AIP Conference Proceedings, 2001
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... This probability is a marginal proba-bility where both a and A have been removed as nuisance ... more ... This probability is a marginal proba-bility where both a and A have been removed as nuisance parameters: oc I dAdaP (rAa\ sI} P (DlD2\ srAaI)(42) = I lAdaP (T\ I) P (A\ I) P (ff\ I) P (Dl\ 8TAar) P (D^\» rAaI} where the prior probability for the ratio of the standard deviations is taken ...
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This talk is a tutorial on spectral analysis of nonuniformly nonsimultaneously sampled data using... more This talk is a tutorial on spectral analysis of nonuniformly nonsimultaneously sampled data using Bayesian probability theory. In this talk we describe how these data are traditionally analyzed, analyze them using Bayesian probability theory, show that for real, nonquadrature, data the sufficient statistic (a function of the data that summarizes all of the information in the data relevant to the question being asked) is a generalized Lomb-Scargle periodogram. We then show that for uniformly sampled quadrature data the generalized Lomb-Scargle periodogram becomes a Schuster periodogram, and finally show how the Lomb-Scargle periodogram generalizes for nonuniform nonsimultaneous sampled data containing decaying sinusoids. After describing how the Lomb-Scargle periodogram generalizes we discuss the aliasing phenomenon and explicitly calculate the effective bandwidth of nonuniformly nonsimultaneously sampled quadrature data. Finally, we discuss the effect of nonuniform sampling on the estimated parameters and show that for all practical purposes the frequency estimates are unchanged by the nonuniform samples.
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Maximum Entropy and Bayesian Methods Garching, Germany 1998, 1999
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The Logic of Science, 2003
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The Logic of Science, 2003
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Papers by Larry Bretthorst