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Mathematical fallacies

Table of contents

Probability fallacies

Appeal to probability

Confusion of the inverse

Conjunction fallacy

Law of averages

Misuse of p-values

Conditional probability

Bayesian statistics

Bayesian networks

Bayesian statisticians

Conjugate prior distributions

Free Bayesian statistics software

Nonparametric Bayesian statistics

Abductive reasoning

Admissible decision rule

Almost sure hypothesis testing

Approximate Bayesian computation

Base rate

Bayes' theorem

Bayes classifier

Bayes error rate

Bayes linear statistics

Bayesian econometrics

Bayesian history matching

Bayesian interpretation of kernel regularization

Bayesian model reduction

Bayesian programming

Bayesian vector autoregression

Calibrated probability assessment

Coherence (statistics)

Conjugate prior

Continuous Individualized Risk Index

Credence (statistics)

Cromwell's rule

Cross-species transmission

De Finetti's theorem

Dependent Dirichlet process

Deviance information criterion

Ensemble Kalman filter

Expectation propagation

Extrapolation domain analysis

Gaussian process emulator

Generalised likelihood uncertainty estimation

Graphical model

Hyperprior

Indian buffet process

Information field theory

International Society for Bayesian Analysis

Jeffreys prior

Lewandowski-Kurowicka-Joe distribution

Likelihood function

Marginal likelihood

Markov logic network

Naive Bayes classifier

Nested sampling algorithm

Neural network Gaussian process

Posterior predictive distribution

Posterior probability

Precision (statistics)

Prior probability

Probabilistic soft logic

Quantum Bayesianism

Robust Bayesian analysis

Sparse binary polynomial hashing

Speed prior

Spike-and-slab regression

Strong prior

Subjectivism

Variational Bayesian methods

Variational autoencoder

Watanabe–Akaike information criterion

WinBUGS

WorldPop Project

Maximum likelihood estimation

Informant (statistics)

Method of support

Partial likelihood methods for panel data

Quasi-likelihood

Quasi-maximum likelihood estimate

Rasch model estimation

Restricted maximum likelihood

Scoring algorithm

Testing in binary response index models

Coherence (philosophical gambling strategy)

Conditional expectation

Conditional probability distribution

Conditional probability table

Conditional variance

Conditioning (probability)

Cue validity

Lewis's triviality result

Non-commutative conditional expectation

List of incomplete proofs

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