Bayesian Statistics

Bayes Theorem: A Relationship Between Conditional and Marginal Probabilities
An exploration of Bayes Theorem, which establishes a relationship between conditional and marginal probabilities of random events, including historical context, types, applications, examples, and mathematical models.
Markov Chain Monte Carlo: A Method for Sampling from Probability Distributions
A comprehensive guide on Markov Chain Monte Carlo (MCMC), a method for sampling from probability distributions, including historical context, types, key events, and detailed explanations.
Prior Probability: Initial Probability Estimate
An initial probability estimate before new evidence is considered (P(A)), crucial in Bayesian statistics and decision-making processes.
Posterior Probability: Definition, Formula, and Calculation Methods
An in-depth analysis of posterior probability, its formulation and methods for calculation, and its applications in various fields such as Bayesian statistics, machine learning, and decision making.

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