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Databricks - Introduction to Bayesian Statistics 

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Introduction to Bayesian Statistics
 at 
Coursera 
Overview

Duration

13 hours

Total fee

Free

Mode of learning

Online

Difficulty level

Beginner

Official Website

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Credential

Certificate

Introduction to Bayesian Statistics
Table of content
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Introduction to Bayesian Statistics
 at 
Coursera 
Highlights

  • Shareable Certificate Earn a Certificate upon completion
  • 100% online Start instantly and learn at your own schedule.
  • Course 1 of 3 in the Introduction to Computational Statistics for Data Scientists Specialization
  • Flexible deadlines Reset deadlines in accordance to your schedule.
  • Beginner Level Some experience with Data Science using the PyData Stack of NumPy, SciPy, Pandas, Scikit-learn. Knowledge of Jupyter Notebooks will be beneficial.
  • Approx. 13 hours to complete
  • English Subtitles: English
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Introduction to Bayesian Statistics
 at 
Coursera 
Course details

More about this course
  • The objective of this course is to introduce Computational Statistics to aspiring or new data scientists. The attendees will start off by learning the basics of probability, Bayesian modeling and inference. This will be the first course in a specialization of three courses .Python and Jupyter notebooks will be used throughout this course to illustrate and perform Bayesian modeling. The course website is located at https://sjster.github.io/introduction_to_computational_statistics/docs/index.html. The course notebooks can be downloaded from this website by following the instructions on page https://sjster.github.io/introduction_to_computational_statistics/docs/getting_started.html.
  • The instructors for this course will be Dr. Srijith Rajamohan and Dr. Robert Settlage.
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Introduction to Bayesian Statistics
 at 
Coursera 
Curriculum

Environment Setup

Welcome to the Specialization!

Welcome to Course 1!

Python Environment Setup

Introduction to the Databricks Ecosystem for Data Science

What can you expect from this course/specialization?

Introduction to the Fundamentals of Probability

Introductions

Chance regularities and random processes

Outcomes, events and spaces

Addition rules of probability

Multiplication rules of probability

Conditional probability, Random Variables and Experiments

Random Variables and Distributions

Moments, mean and variance

Joint distributions of Random Variables

Estimation using MoM and MLE

Basics of Bayes' Rule

Decisions and Loss Functions

Priors introduction

Priors as conjugates

Informative vs non-informative priors

Jeffrey's Prior

Prior distributions and posterior ramifications

Introduction and references

Rules for manipulating probability

Random variables

MoM and MLE

Bayes' and decisions

Loss functions

More on priors

Week 2 Belief and Probability Practice

Week 2 Belief and Probability Graded Quiz

Week 2 Manipulating Probability Practice

Week 2 Manipulating Probability Graded Quiz

Week 2 Distributions Practice

Week 2 Distributions Graded Quiz

Week 2 Estimation Practice

Week 2 Estimation Graded Quiz

Week 2 Decisions Practice

Week 2 Decisions Graded Quiz

Week 2 Priors Practice

Week 2 Priors Graded Quiz

A Hands-On Introduction to Common Distributions

The Binomial Distribution

Negative Binomial Distribution

Poisson Distribution

Exponential Distribution

Gamma Distribution

Normal Distribution

Lognormal Distribution

Student's t-distribution

Beta Distribution

MLE Estimation using a Beta Distribution

Gaussian Mixture Model

Non-parametric Methods: Kernel Density Estimation

Reference

Reference

Common distributions

Non-parametric methods

Sampling Algorithms

Introduction to Sampling

The Inverse Transform Algorithm

Rejection Sampling

Importance Sampling

Differences between the Bayesian and the Frequentist

Features of Bayesian and Frequentist Inference

Reference

Bayesian vs. Frequentist Inference

Sampling algorithms

Rejection and Importance Sampling

Bayesian vs. Frequentist Inference

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Introduction to Bayesian Statistics
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