Bayesian Statistics and Single-molecule Trajectories
Bayesian Statistics and Single-molecule Trajectories

Author: Daniel L. Ensign

Publisher: Stanford University

Published: 2010

Total Pages: 157

ISBN-13:

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Bayesian statistics is a powerful method for inference--possibly the uniquely correct method for inference. As described herein, when applied to a few degrees of freedom from single molecule trajectories, Bayesian statistics yield useful insights into rates, states, and motions.

Bayesian Reasoning in Data Analysis
Bayesian Reasoning in Data Analysis

Author: Giulio D'Agostini

Publisher: World Scientific

Published: 2003

Total Pages: 351

ISBN-13: 9812383565

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A multi-level introduction to Bayesian reasoning. The basic ideas of this approach to the quantification of uncertainty are presented using examples from research and everyday life. Applications covered include: parametric inference; combination of results; comparison of hypotheses; and more.

Interpreting Probability
Interpreting Probability

Author: David Howie

Publisher: Cambridge University Press

Published: 2002-08-08

Total Pages: 276

ISBN-13: 1139434373

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The term probability can be used in two main senses. In the frequency interpretation it is a limiting ratio in a sequence of repeatable events. In the Bayesian view, probability is a mental construct representing uncertainty. This 2002 book is about these two types of probability and investigates how, despite being adopted by scientists and statisticians in the eighteenth and nineteenth centuries, Bayesianism was discredited as a theory of scientific inference during the 1920s and 1930s. Through the examination of a dispute between two British scientists, the author argues that a choice between the two interpretations is not forced by pure logic or the mathematics of the situation, but depends on the experiences and aims of the individuals involved. The book should be of interest to students and scientists interested in statistics and probability theories and to general readers with an interest in the history, sociology and philosophy of science.