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Course11110616337 lectures

Probability - II With Examples Using R

Prof Siva Athreya · ISI Bangalore

Start with lecture 1 At NPTEL

Lectures

week-01

  1. Continuous Random Variables - Part 01 Video
  2. Continuous Random Variables - Part 02 Video
  3. R Set Up Video

week-02

  1. Exponential and Normal Random Variable Video
  2. Normal Random Variable Video
  3. Distribution Function Video
  4. Normal Distribution Video
  5. Problem Solving for Week 12_Part 02 Video

week-03

  1. mod08lec33 - Joint Distribution of Continuous Random Variables Video
  2. mod09lec34 - Marginal Density and Independence Video
  3. Uniform Distribution in R2 Video
  4. Problem Solving Video

week-04

  1. Bivariate Normal - Part 01 Video
  2. Problem Solving 1: Calculating Probabilities Video
  3. Problem Solving 2: Quadratic Equation, Random Coefficients Video
  4. mod09lec35 - Conditional Density Video

week-05

  1. mod10lec36 - Sums of Independent Random Variables Video
  2. mod10lec37 - Quotient of Independent Random Variables Video
  3. Simulating Bivariate Normal Random Variables Video
  4. Problem Solving Conditional Density Video

week-06

  1. mod10lec38 - Expectation and Variance of Continuous Random Variables Video
  2. mod11lec41 - Revisit of Variance and Expectation Video

week-07

  1. Covariance and Correlation Video
  2. Conditional Expectation and Conditional Variance Video
  3. Analysis of Variance Formula Video

week-08

  1. Moment Generating Function Video
  2. Moments and Moment Generating Function Video
  3. Bivariate Normal Part 02 Video

week-09

  1. mod11lec39 - Sampling Distribution and Sample Mean Video
  2. mod11lec40 - Weak Law of Large Numbers Video
  3. mod11lec43 - Revisit Weak Law of Large Numbers Video

week-10

  1. mod12lec44 - Demoivre-Laplace Central Limit Theorem and Normal Random Variables Video
  2. mod12lec45 - Revisit Normal Random Variables Video
  3. mod12lec46 - Normal Tables, Mean and Variance Video

week-11

  1. Central Limit Theorem Video
  2. Bivariate Normal Random Variables_Characterisation Video

week-12

  1. Bivariate Normal Random Variables Joint Density Calculation_Part 01 Video

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
ISI Bangalore
Department
Mathematics
Teacher
Prof Siva Athreya
Level
Undergraduate
Language
English
Subjects
Mathematics
Source
NPTEL
Licence
CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
Attribution
NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge. Coordinated by IIT Madras.
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