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Bayesian Posteriors Without Bayes' Theorem [PDF]
, 2012 The classical Bayesian posterior arises naturally as the unique solution of several different optimization problems, without the necessity of interpreting data as conditional probabilities and then using Bayes' Theorem.
Dall'Aglio, Marco, Hill, Theodore P.
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Teaching Bayes' Theorem: strength of evidence as predictive accuracy [PDF]
, 2017 Although teaching Bayes’ theorem is popular, the standard approach—targeting posterior distributions of parameters—may be improved. We advocate teaching Bayes’ theorem in a ratio form where the posterior beliefs relative to the prior beliefs equals the ...
Morey, Richard D., Rouder, Jeffrey N.
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Quantitative assessment of thenar to evaluate hand function after stroke by Bayes discriminant
BMC Musculoskeletal Disorders, 2023 Background The incidence rate of stroke or cerebrovascular accidents ranks first in China. More than 85% of stroke patients have residual upper limb motor dysfunction, especially hand dysfunction.
Rui Li +10 more
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On Bayes’s theorem for improper mixtures
The Annals of Statistics, 2011 Although Bayes's theorem demands a prior that is a probability distribution on the parameter space, the calculus associated with Bayes's theorem sometimes generates sensible procedures from improper priors, Pitman's estimator being a good example.
McCullagh, Peter, Han, Han
openaire +5 more sources
Is the observed lowering of intraocular pressure due to treatment?
Indian Journal of Ophthalmology, 2013 Objective: Use Bayes′ theorem to estimate the intraocular pressure (IOP) lowering effect of medical treatment initiated for glaucoma and determine if IOP comparisons to the baseline IOP of the same eye is clinically useful.
Ravi Thomas, Kerrie Mengersen
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Probability of sporadic lymphangioleiomyomatosis in women presenting with spontaneous pneumothorax
Orphanet Journal of Rare Diseases, 2023 Background Sporadic lymphangioleiomyomatosis (S-LAM) is a rare low-grade neoplasm of young women characterized by multiple pulmonary cysts leading to progressive dyspnea and recurrent spontaneous pneumothorax (SP).
Audrey Suter +4 more
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Cogent Medicine, 2016 We obtain the input data for Bayes Theorem, and use the theorem to determine the probability of a patient having a lumbar HNP, given only a positive MRI.
David Trafimow, Jordan H. Trafimow
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STEM-Based Bayesian Computational Learning Model-BCLM for Effective Learning of Bayesian Statistics
IEEE AccessThis work contributes to the comprehension of Bayes’ theorem inclusive Bayesian probabilities and Bayesian inferencing within the framework of STEM (Science, Technology, Engineering, Arts, and Mathematics) and cognitive learning w.r.t Bloom’
Ikram E. Khuda +2 more
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Application of Bayes' Theorem in Valuating Depression Tests Performance
Frontiers in Psychology, 2018 The validity of clinical diagnoses is a fundamental topic in clinical psychology, because now there are some political administrations, as the IOM or the U.K. government, which are focusing on best evidence-based practice in clinical psychology. The most
Marco Tommasi +2 more
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Posterior probability and fluctuation theorem in stochastic processes
, 2009 A generalization of fluctuation theorems in stochastic processes is proposed. The new theorem is written in terms of posterior probabilities, which are introduced via the Bayes theorem.
Crooks G. E. +21 more
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