Free online courseBayesian statistics: a comprehensive course

Conteúdo do Curso

• Video class: 1 - Marginal probability for continuous variables

  0h06m

• Exercise: What is the process to find the marginal probability of a continuous random variable?

• Video class: 2 Conditional probability continuous rvs

  0h06m

• Exercise: What is the probability of height ≤ 1.5m given weight ≤ 50kg?

• Video class: A derivation of Bayes' rule

  0h02m

• Exercise: What is Bayes' Rule derived from the given probabilities?

• Video class: 4 - Bayes' rule - an intuitive explanation

  0h06m

• Exercise: What does Bayes' Rule Help Determine?

• Video class: 5 - Bayes' rule in statistics

  0h08m

• Exercise: What is the ultimate goal of Bayesian statistics?

• Video class: 6 - Bayes' rule in inference - likelihood

  0h07m

• Exercise: What is the probability that all three individuals are uninfected given theta?

• Video class: 7 Bayes' rule in inference the prior and denominator

  0h06m

• Exercise: What is the likelihood probability for theta equals 0?

• Video class: 8 - Bayes' rule in inference - example: the posterior distribution

  0h03m

• Exercise: What is the posterior probability that Theta equals zero?

• Video class: 9 - Bayes' rule in inference - example: forgetting the denominator

  0h04m

• Exercise: Why can the denominator be ignored in Bayesian computations?

• Video class: 10 - Bayes' rule in inference - example: graphical intuition

  0h05m

• Exercise: What is the probability that theta equals 0 given the data and model choice?

• Video class: 11 The definition of exchangeability

  0h04m

• Exercise: What defines exchangeability in a sequence of random variables?

• Video class: 12 exchangeability and iid

  0h07m

• Exercise: What does exchangeability imply about random variables?

• Video class: 13 exchangeability what is its significance?

  0h06m

• Exercise: Why is exchangeability important in Bayesian statistics?

• Video class: 14 - Bayes' rule denominator: discrete and continuous

  0h04m

• Exercise: How is the denominator in the probability calculation determined in the context of Bayesian inference?

• Video class: 15 Bayes' rule: why likelihood is not a probability

  0h04m

• Exercise: Why shouldn't likelihood be considered identical to probability?

• Video class: 15a - Maximum likelihood estimator - short introduction

  0h07m

• Exercise: What is the primary goal of Maximum Likelihood Estimation?

• Video class: 16 Sequential Bayes: Data order invariance

  0h04m

• Exercise: What does Bayes' Rule imply about the order of independent data points?

• Video class: 17 - Conjugate priors - an introduction

  0h05m

• Exercise: What is a key advantage of using a conjugate prior in Bayesian inference?

• Video class: 18 - Bernoulli and Binomial distributions - an introduction

  0h08m

• Exercise: What is the purpose of the Bernoulli and binomial distributions?

• Video class: 19 - Beta distribution - an introduction

  0h10m

• Exercise: What is a key characteristic of the Beta distribution?