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

open access: goldJournal 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   +2 more sources

Weyl Prior and Bayesian Statistics [PDF]

open access: yesEntropy, 2020
When using Bayesian inference, one needs to choose a prior distribution for parameters. The well-known Jeffreys prior is based on the Riemann metric tensor on a statistical manifold.
Ruichao Jiang   +2 more
doaj   +2 more sources

Global Geometry of Bayesian Statistics [PDF]

open access: yesEntropy, 2020
In the previous work of the author, a non-trivial symmetry of the relative entropy in the information geometry of normal distributions was discovered. The same symmetry also appears in the symplectic/contact geometry of Hilbert modular cusps. Further, it
Atsuhide Mori
doaj   +2 more sources

Bibliometric Analysis of Surgical Articles Using Bayesian Statistics [PDF]

open access: yesAnnals of Surgery Open
Objectives:. The study aims to investigate the landscape and trends in the use of Bayesian statistics in surgical papers published in high-impact journals over the past 2 decades, determine the characteristics of these papers, and assess the quality of ...
Zhenyu Li, MSc   +4 more
doaj   +2 more sources

A Bayesian robust Kalman smoothing framework for state-space models with uncertain noise statistics [PDF]

open access: goldEURASIP Journal on Advances in Signal Processing, 2018
The classical Kalman smoother recursively estimates states over a finite time window using all observations in the window. In this paper, we assume that the parameters characterizing the second-order statistics of process and observation noise are ...
Roozbeh Dehghannasiri   +2 more
doaj   +2 more sources

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
  +6 more sources

Modified Maximum Entropy Method and Estimating the AIF via DCE-MRI Data Analysis

open access: yesEntropy, 2022
Background: For the kinetic models used in contrast-based medical imaging, the assignment of the arterial input function named AIF is essential for the estimation of the physiological parameters of the tissue via solving an optimization problem ...
Zahra Amini Farsani, Volker J. Schmid
doaj   +1 more source

Development and Validation of ARC, a Model for Anticipating Acute Respiratory Failure in Coronavirus Disease 2019 Patients

open access: yesCritical Care Explorations, 2021
OBJECTIVES:. To evaluate factors predictive of clinical progression among coronavirus disease 2019 patients following admission, and whether continuous, automated assessments of patient status may contribute to optimal monitoring and management. DESIGN:.
Suchi Saria, PhD   +8 more
doaj   +1 more source

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