Bayes' Theorem: An Expository Presentation [PDF]
The Annals of Mathematical Statistics, 1931 Bayes' theorem made its appearance as the ninth proposition in an essay which occupies pages 370 to 418 of the Philosophical Transactions, Vol. 53, for 1763. An introductory letter written by Richard Price, “Theologian, Statistician, Actuary and Political Writer,”1 begins thus:
Edward C. Molina
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Error rates in SARS-CoV-2 testing examined with Bayes' theorem [PDF]
Heliyon, 2021 The SARS-CoV-2 pandemic has created a demand for large scale testing, as part of the effort to understand and control transmission. It is important to quantify the error rates of test equipment under field conditions, which might differ significantly ...
P.M. Bentley
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, 2019 Abstract This chapter focuses on Bayes’ Theorem. The chapter first gives a brief introduction to Thomas Bayes, who first formulated the theorem. It then builds on the content presented in Chapters 1 and 2 to derive Bayes’ Theorem and describes two ways to think about it.
Therese M. Donovan, Ruth M. Mickey
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Application of Bayes' Theorem in Valuating Depression Tests Performance [PDF]
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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A software tool for applying Bayes' theorem in medical diagnostics [PDF]
BMC Medical Informatics and Decision MakingBackground In medical diagnostics, estimating post-test or posterior probabilities for disease, positive and negative predictive values, and their associated uncertainty is essential for patient care.
Theodora Chatzimichail +1 more
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Sharpening the second law of thermodynamics with the quantum Bayes theorem [PDF]
, 2014 We prove a generalization of the classic Groenewold-Lindblad entropy inequality, combining decoherence and the quantum Bayes theorem into a simple unified picture where decoherence increases entropy while observation decreases it.
Hrant Gharibyan, Max Tegmark
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Corrigendum to "Error rates in SARS-CoV-2 testing examined with Bayes' theorem" [Heliyon 7, (4), (April 2021), Article e06905]. [PDF]
Heliyon, 2022 Bentley P.
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Histological classification of Japanese IgA nephropathy with a small number of glomeruli using Bayes' theorem. [PDF]
Sci Rep, 2023 Nakata T +3 more
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Comment on van Gemert et al. Child Abuse, Misdiagnosed by an Expertise Center-Part II-Misuse of Bayes' Theorem. Children 2023, 10, 843. [PDF]
Children (Basel)Onkenhout NH +5 more
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Towards more reliable gambling cost estimates, a population-based study with register-linkage [PDF]
BMC Public HealthBackground Although past research has shown a strong association between gambling participation and harms, relatively few studies have attempted to quantify the cost of these harms to society.
Tiina A. Latvala +5 more
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