Bayesian Statistics: A Step-by-step Introduction

سرفصل های دوره

A former Google data scientist helps you master the basics of Bayesian statistics, with examples in R and Stan

1. Probability Basics

1. Introduction Video

2. Welcome.html

3. Probability, Complements, Venn Diagrams

4. Law of Total Probability

5. Conditional Probability

6. Multiplication Rule and Independence

7. Probability Quiz.html

8.1 Bayesian Homework 1.pdf

8. Probability Extra Practice Problems.html

2. Bayes Rule

1. Bayes Rule Introduction

2. Medical Testing Problem

3. Predictive Distributions and Flow Charts

4. Two Coins

5. Multiple Observations

6. Normalizing Constants and Proportionality

7. Bayes Rule Quiz.html

8.1 Bayes Rule Practice.pdf

8. Bayes Rule Extra Practice Problems.html

3. Continuous Priors and the Uniform Distribution

1. Continuous Priors and the Uniform Distribution

2. Likelihood and Random Variables

3. Posterior Distribution One Observation

4. Posterior Probability Calculation

5. Posterior Distribution Two Observations

6. CDFs and Inverse CDFs

7. Credible Intervals

8. Mean, Median, Mode

9. Point Estimates

10. Predictive Distribution

11. Continuous Uniform Distribution Quiz.html

4. Beta-Binomial Family

1. Binomial Random Variables

2. Prior The Beta Distribution

3. Finding prior and posterior probabilities with the Beta CDF

4. How do the hyperparameters change the prior

5. Posterior Distribution What are Conjugate Priors

6. Credible Intervals

7. Point Estimates

8. Predictive Distribution Beta-Binomial

9. Beta Distribution Quiz.html

10. Recap of Priors, Posteriors, Likelihoods, Predictive Distributions

11.1 bayesianbeta-binomialrexercise.zip

11.2 python betabinomial.zip

11. Example Beta-Binomial Problem with R

12.1 bayesianbeta-binomialrexercise.zip

12.2 python betabinomial.zip

12. Example Beta-Binomial Problem with Stan

13. Drawbacks of Conjugate Priors

5. Poisson - Gamma

1. Likelihood Poisson Distribution

2. Gamma Distribution and Choosing Hyperparameters

3. Posterior Distribution

4. Posterior Calculation Example 2

5. Credible Interval and Point Estimates

6. Predictive Distribution Negative Binomial

7. Poisson - Gamma Quiz.html

8.1 bayesianpoisson-gammarexample.zip

8.2 poissongammapython.zip

8. Example Poisson-Gamma Problem with R and Stan

6. Normal - Normal

1. Normal Distribution

2. Prior Normal Distribution and choosing hyperparameters

3.1 Normal Posterior Distribution Full Derivation.html

3. Posterior Distribution and Example

4. Credible Intervals and Point Estimates

5. Normal-Normal Quiz.html

6.1 bayesiannormalrexample.zip

6.2 python-normalnormal.zip

6. Example Normal-Normal Problem with R and Stan

7. More advanced models

1. Predictive distributions, unknown variance

2. Simple Linear Regression

3.1 bayesianregressionexample.zip

3.2 bayesianregressionpython.zip

3. Example Simple Linear Regression Problem with R and Stan

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تولید کننده: Udemy