## Bayesian Statistical Inference

*Željko Ivezi, Andrew J. Connolly, Jacob T. VanderPlas, Alexander Gray, Željko Ivezi, Andrew J. Connolly, Jacob T. VanderPlas, and Alexander Gray*

### in Statistics, Data Mining, and Machine Learning in Astronomy: A Practical Python Guide for the Analysis of Survey Data

- Published in print:
- 2014
- Published Online:
- October 2017
- ISBN:
- 9780691151687
- eISBN:
- 9781400848911
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691151687.003.0005
- Subject:
- Physics, Particle Physics / Astrophysics / Cosmology

This chapter introduces the most important aspects of Bayesian statistical inference and techniques for performing such calculations in practice. It first reviews the basic steps in Bayesian ... More

## Simple Bayesian Models

*N. Thompson Hobbs and Mevin B. Hooten*

### in Bayesian Models: A Statistical Primer for Ecologists

- Published in print:
- 2015
- Published Online:
- October 2017
- ISBN:
- 9780691159287
- eISBN:
- 9781400866557
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691159287.003.0005
- Subject:
- Biology, Ecology

This chapter lays out the basic principles of Bayesian inference, building on the concepts of probability developed in Chapter 3. It seeks to use the rules of probability to show how Bayes' theorem ... More

## How to Improve Bayesian Reasoning without Instruction

*Gerd Gigerenzer*

### in Adaptive Thinking: Rationality in the Real World

- Published in print:
- 2002
- Published Online:
- October 2011
- ISBN:
- 9780195153729
- eISBN:
- 9780199849222
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195153729.003.0006
- Subject:
- Philosophy, General

This chapter defines the concepts of natural sampling, natural frequencies, and reports experimental evidence for the impact of various external representations on statistical thinking. The mental ... More

## Innateness and (Bayesian) Visual Perception: Reconciling Nativism and Development

*Brian J. Scholl*

### in The Innate Mind: Structure and Contents

- Published in print:
- 2005
- Published Online:
- January 2007
- ISBN:
- 9780195179675
- eISBN:
- 9780199869794
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195179675.003.0003
- Subject:
- Philosophy, Metaphysics/Epistemology

This chapter explores a way in which visual processing may involve innate constraints and attempts to show how such processing overcomes one enduring challenge to nativism. In particular, many ... More

## Murder and (of?) the Likelihood Principle: A Trialogue

*Jie W Weiss and David J Weiss*

### in A Science of Decision Making: The Legacy of Ward Edwards

- Published in print:
- 2008
- Published Online:
- January 2009
- ISBN:
- 9780195322989
- eISBN:
- 9780199869206
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195322989.003.0017
- Subject:
- Psychology, Cognitive Psychology

The Likelihood Principle of Bayesian inference asserts that only likelihoods matter to single-stage inference. A likelihood is the probability of evidence given a hypothesis multiplied by a positive ... More

## Rational Statistical Inference and Cognitive Development

*Fei Xu*

### in The Innate Mind, Volume 3: Foundations and the Future

- Published in print:
- 2008
- Published Online:
- January 2008
- ISBN:
- 9780195332834
- eISBN:
- 9780199868117
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195332834.003.0010
- Subject:
- Philosophy, Philosophy of Mind

This chapter advocates a view that is a substantive middle ground between the extreme versions of nativism and empiricism — a view dubbed ‘rational constructivism’. This is a view that commits us to ... More

## Decision Theory and Bayesian Inference

*Luc Bauwens, Michel Lubrano, and Jean-François Richard*

### in Bayesian Inference in Dynamic Econometric Models

- Published in print:
- 2000
- Published Online:
- September 2011
- ISBN:
- 9780198773122
- eISBN:
- 9780191695315
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198773122.003.0001
- Subject:
- Economics and Finance, Econometrics

This chapter discusses the relationship between mathematical statistics, decision theory, and the application of Bayesian inference to econometrics. It analyses the Bayesian approach to decision ... More

## Humans' Multisensory Perception, from Integration to Segregation, Follows Bayesian Inference

*Ladan Shams and Ulrik Beierholm*

### in Sensory Cue Integration

- Published in print:
- 2011
- Published Online:
- September 2012
- ISBN:
- 9780195387247
- eISBN:
- 9780199918379
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195387247.003.0013
- Subject:
- Psychology, Cognitive Neuroscience, Cognitive Psychology

This chapter first discusses experimental findings showing that multisensory perception encompasses a spectrum of phenomena ranging from full integration (or fusion), to partial integration, to ... More

## Bayesian Statistics and Linear Regression

*Luc Bauwens, Michel Lubrano, and Jean-François Richard*

### in Bayesian Inference in Dynamic Econometric Models

- Published in print:
- 2000
- Published Online:
- September 2011
- ISBN:
- 9780198773122
- eISBN:
- 9780191695315
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198773122.003.0002
- Subject:
- Economics and Finance, Econometrics

This chapter presents the basic concepts and tools that are useful for modelling and for Bayesian inference. It defines density kernels useful for simplifying notation and computations and explains ... More

## Intuitive Theories as Grammars for Causal Inference

*Joshua B. Tenenbaum, Thomas L. Griffiths, and Sourabh Niyogi*

### in Causal Learning: Psychology, Philosophy, and Computation

- Published in print:
- 2007
- Published Online:
- April 2010
- ISBN:
- 9780195176803
- eISBN:
- 9780199958511
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195176803.003.0020
- Subject:
- Psychology, Developmental Psychology

This chapter presents a framework for understanding the structure, function, and acquisition of causal theories from a rational computational perspective. Using a “reverse engineering” approach, it ... More