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Bayesian Statistics [PDF]

open access: yesJournal of Applied Statistics, 2013
Classical statistics involves ways to test hypotheses and estimate confidence intervals. Bayesian statistics involves methods to calculate probabilities associated with your hypotheses. The result is a posterior distribution that combines information from your data with prior beliefs.
James B. Elsner, Thomas H. Jagger
  +5 more sources

Power of Probability in Psychometrics. Review of the book “Bayesian Psychometric Modeling“

open access: yesВопросы образования, 2023
The emergence and development of Bayesian psychometrics is a result of psychometrics' desire to reduce measurement error. This book is the first to present a systematic description of the Bayesian approach in psychometric research.
Ирина Угланова
doaj   +1 more source

Change-point model on nonhomogeneous Poisson processes with application in copy number profiling by next-generation DNA sequencing [PDF]

open access: yes, 2012
We propose a flexible change-point model for inhomogeneous Poisson Processes, which arise naturally from next-generation DNA sequencing, and derive score and generalized likelihood statistics for shifts in intensity functions.
Shen, Jeremy J., Zhang, Nancy R.
core   +3 more sources

Rejoinder to discussions of "Frequentist coverage of adaptive nonparametric Bayesian credible sets" [PDF]

open access: yes, 2015
Rejoinder of "Frequentist coverage of adaptive nonparametric Bayesian credible sets" by Szab\'o, van der Vaart and van Zanten [arXiv:1310.4489v5].Comment: Published at http://dx.doi.org/10.1214/15-AOS1270REJ in the Annals of Statistics (http://www ...
Szabó, Botond   +2 more
core   +6 more sources

Learning Summary Statistics for Bayesian Inference with Autoencoders

open access: yesSciPost Physics Core, 2022
For stochastic models with intractable likelihood functions, approximate Bayesian computation offers a way of approximating the true posterior through repeated comparisons of observations with simulated model outputs in terms of a small set of summary
Carlo Albert, Simone Ulzega, Firat Ozdemir, Fernando Perez-Cruz, Antonietta Mira
doaj   +1 more source

Estimation Of Parameters And Selection Of Models Applied To Population Balance Dynamics Via Approximate Bayesian Computational [PDF]

open access: yesJournal of Heat and Mass Transfer Research, 2022
Population balance models mathematically describe the particle size distribution based on modeling physical phenomena that influence the distribution, such as aggregation, growth, and breakage.
Carlos Moura   +4 more
doaj   +1 more source

Why Bayesian Ideas Should Be Introduced in the Statistics Curricula and How to Do So

open access: yesJournal of Statistics Education, 2020
While computing has become an important part of the statistics field, course offerings are still influenced by a legacy of mathematically centric thinking.
Andrew Hoegh
doaj   +1 more source

Philosophy and the practice of Bayesian statistics [PDF]

open access: yes, 2010
A substantial school in the philosophy of science identifies Bayesian inference with inductive inference and even rationality as such, and seems to be strengthened by the rise and practical success of Bayesian statistics.
Abbott   +138 more
core   +5 more sources

Improved polygenic prediction by Bayesian multiple regression on summary statistics

open access: yesNature Communications, 2019
Accurate prediction of an individual’s phenotype from their DNA sequence is one of the great promises of genomics and precision medicine. We extend a powerful individual-level data Bayesian multiple regression model (BayesR) to one that utilises summary ...
Luke R. Lloyd‐Jones   +14 more
semanticscholar   +1 more source

A Bayesian Statistics Course for Undergraduates: Bayesian Thinking, Computing, and Research

open access: yesJournal of Statistics Education, 2020
We propose a semester-long Bayesian statistics course for undergraduate students with calculus and probability background. We cultivate students’ Bayesian thinking with Bayesian methods applied to real data problems. We leverage modern Bayesian computing
Jingchen Hu
doaj   +1 more source

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