Probability: Distribution Models & Continuous Random Variables
Offered By: Purdue University via edX
Course Description
Overview
In this statistics and data analysis course, you will learn about continuous random variables and some of the most frequently used probability distribution models including, exponential distribution, Gamma distribution, Beta distribution, and most importantly, normal distribution.
You will learn how these distributions can be connected with the Normal distribution by Central limit theorem (CLT). We will discuss Markov and Chebyshev inequalities, order statistics, moment generating functions and transformation of random variables.
This course along with the recommended pre-requisite,Probability: Basic Concepts & Discrete Random Variables,will you give the skills and knowledge to progress towards an exciting career in information and data science.
The Center for Science of Information, a National Science Foundation Center, supports learners by offering free educational resources in information science.
Syllabus
Unit 7: Continuous Random Variables
In this unit, we start from the instruction of continuous random variables, then discuss the joint density/CDF and properties of independent continuous random variables.
Unit 8: Conditional Distributions and Expected Values
Conditional distributions for continuous random variables, expected values of continuous random variables, and expected values of functions of random variables.
Unit 9: Models of Continuous Random Variables
In this unit we will discuss four common distribution models of continuous random variables: Uniform, Exponential, Gamma and Beta distributions.
Unit 10: Normal Distribution and Central Limit Theorem (CLT)
Introduction to Normal distribution and CLT, as well as examples of how CLT can be used to approximate models of continuous uniform, Gamma, Binomial, Bernoulli and Poisson.
Unit 11: Covariance, Conditional Expectation, Markov and Chebychev Inequalities
Unit 12: Order Statistics, Moment Generating Functions, Transformation of RVs
Taught by
Mark D. Ward
Tags
Related Courses
Untersuchen und Erstellen von Daten für UnternehmenUniversity of Illinois at Urbana-Champaign via Coursera Exploration et production de données pour les entreprises
University of Illinois at Urbana-Champaign via Coursera Исследование и генерация данных для принятия бизн.-реш.
University of Illinois at Urbana-Champaign via Coursera Statistics for Social Science
Chaffey College via California Community Colleges System Сравниваем доходность акций с Google Sheets
Coursera Project Network via Coursera