NPTEL : NOC:Probability-II with Examples Using R (Mathematics)

Co-ordinators : Prof. Siva Athreya


Lecture 1 - Continuous Random Variables - Part 1

Lecture 2 - Continuous Random Variables - Part 2

Lecture 3 - R Set Up

Lecture 4 - Exponential and Normal Random Variable

Lecture 5 - Normal Random Variable

Lecture 6 - Distribution Function

Lecture 7 - Normal Distribution

Lecture 8 - Problem Solving for Week 12 - Part 2

Lecture 9 - Joint Distribution of Continuous Random Variables

Lecture 10 - Marginal Density and Independence

Lecture 11 - Uniform Distribution in R2

Lecture 12 - Problem Solving

Lecture 13 - Bivariate Normal - Part 1

Lecture 14 - Problem Solving 1 - Calculating Probabilities

Lecture 15 - Problem Solving 2 - Quadratic Equation, Random Coefficients

Lecture 16 - Conditional Density

Lecture 17 - Sums of Independent Random Variables

Lecture 18 - Quotient of Independent Random Variables

Lecture 19 - Simulating Bivariate Normal Random Variables

Lecture 20 - Problem Solving Conditional Density

Lecture 21 - Expectation and Variance of Continuous Random Variables

Lecture 22 - Revisit of Variance and Expectation

Lecture 23 - Revisit of Properties of Variance

Lecture 24 - Covariance and Correlation

Lecture 25 - Conditional Expectation and Conditional Variance

Lecture 26 - Analysis of Variance Formula

Lecture 27 - Problem Solving Expectations

Lecture 28 - Moment Generating Function

Lecture 29 - Moments and Moment Generating Function

Lecture 30 - Bivariate Normal - Part 2

Lecture 31 - Problem Solving Conditional Expectation and Conditional Variance

Lecture 32 - Sampling Distribution and Sample Mean

Lecture 33 - Weak Law of Large Numbers

Lecture 34 - Revisit Weak Law of Large Numbers

Lecture 35 - Problem Solving

Lecture 36 - Demoivre-Laplace Central Limit Theorem and Normal Random Variables

Lecture 37 - Revisit Normal Random Variables

Lecture 38 - Normal Tables, Mean and Variance

Lecture 39 - Problem Solving

Lecture 40 - Bivariate Normal Random Variables_Characterisation

Lecture 41 - Bivariate Normal Random Variables_Independence

Lecture 42 - Problem Solving

Lecture 43 - Bivariate Normal Random Variables Joint Density Calculation - Part 1

Lecture 44 - Bivariate Normal Random Variables Joint Density Calculation - Part 2

Lecture 45 - Problem Solving - Review of Transformation of Random Variables