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A RECURSION FORMULA FOR BAYESIAN PROBABILITIES

Psychological Reports, 2003
A recursion formula for Bayes' formula is derived. The formula is useful in applications in which diagnoses are added in a stepwise way to predict a criterion. On each step, changes in various diagnostic measures can be easily evaluated.
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On Fuzzy Probabilities in Bayesian Games

2011 Workshop-School on Theoretical Computer Science, 2011
This work proposes an application of fuzzy probabilities, respecting an arithmetic restriction, in order to estimate unknown types of players in a bayesian game, thus configuring a fuzzy bayesian game. To this end, besides defining the operations needed for this application, a hypothetical example of a bayesian game is presented and then this ...
Graçaliz Pereira Dimuro   +1 more
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Uncertainty plus prior equals rational bias: an intuitive Bayesian probability weighting function.

Psychology Review, 2012
Empirical research has shown that when making choices based on probabilistic options, people behave as if they overestimate small probabilities, underestimate large probabilities, and treat positive and negative outcomes differently.
J. Fennell, R. Baddeley
semanticscholar   +1 more source

Inference of emission rates from multiple sources using Bayesian probability theory.

Journal of Environmental Monitoring, 2010
The determination of atmospheric emission rates from multiple sources using inversion (regularized least-squares or best-fit technique) is known to be very susceptible to measurement and model errors in the problem, rendering the solution unusable.
E. Yee, T. Flesch
semanticscholar   +1 more source

Vagueness and Bayesian probability

IEEE Transactions on Fuzzy Systems, 1994
This paper is a response to Michael Laviolette and John W. Seaman Jr.'s ( ibid. vol.2, no.1, p.4 (1994)) position paper "The efficacy of fuzzy representations of uncertainty," which criticizes fuzzy representations of uncertainty, and suggests that Bayesian probability can do better.
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Bayesian Updating of Seismic Probability

Nuclear Science and Engineering, 1986
For those nuclear power plants for which a seismic probabilistic risk assessment has been conducted, it is possible to infer a prediction for the recurrence rate of the safe shutdown earthquake, and then to compare it with the historic seismicity at the site. Using the Bayesian algorithm, it is then possible to update the prediction in such a way as to
S. Seth, H. W. Lewis
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BAYESIAN INFERENCE OF FUZZY PROBABILITIES

International Journal of General Systems, 1997
Abstract In this paper, we propose a new method to generalize Bayesian methods both for fuzzy likelihood and fuzzy prior probabilities. Based on interval Bayesian inference developed by Pan and Klir [1996], the proposed method overcomes the difficulty in developing a normalized fuzzy Bayesian inference recognized in the literature [Friihwirth-Schnatter,
Yin Pan, Bo Yuan
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Probabilities: Bayesian Classifiers

2015
The earliest attempts to predict an example’s class based on the known attribute values go back to well before World War II—prehistory, by the standards of computer science. Of course, nobody used the term “machine learning,” in those days, but the goal was essentially the same as the one addressed in this book.
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Bayesian Inferences on Predictors of Conception Probabilities

Biometrics, 2005
SummaryReproductive scientists and couples attempting pregnancy are interested in identifying predictors of the day‐specific probabilities of conception in relation to the timing of a single intercourse act. Because most menstrual cycles have multiple days of intercourse, the occurrence of conception represents the aggregation across Bernoulli trials ...
Joseph B. Stanford, David B. Dunson
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INDUCTION, PROBABILITY, AND BAYESIAN EPISTEMOLOGY

2003
In the last sixty years Finnish analytical philosophers have been extensively investigating induction and probability, and their role in empirical sciences. In this paper the main lines and outcomes of such studies are examined. In particular, the following issues are considered: von Wright’s theory of inductive elimination and his analysis of ...
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