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Course11110279844 lectures

Introduction to Probability & Statistics (in Hindi)

Prof. Abhay Gopal Bhatt · ISI Delhi

Start with lecture 1 At NPTEL

About

The course will cover topics in a standard syllabus in engineering degree programmes. But other students are also welcome to attend. Each concept in this introductory course will be illustrated with examples and reinforced with problems. By the end of the course, the student will have attained a fair degree of familiarity with basic statistical concepts of estimation and testing and would be well conversant with probabilistic concepts and standard probability distributions. The lectures will be in HINDI, with writing in English.

Intended audience: Undergraduate students. Also anyone who wants to get an introduction to statistical methods.

Prerequisites: Calculus

Lectures

Week 1

  1. LECTURE 1 : Random Experiments YouTube
  2. LECTURE 2 : Axioms of probability YouTube
  3. LECTURE 3 : Determining Probabilities YouTube
  4. LECTURE 3A : Determining Probabilities (Contd.) YouTube

Week 2

  1. Lecture 4 : Equally Likely Events YouTube
  2. Lecture 4A : Equally Likely Events (Contd.) YouTube
  3. Lecture 5 : Conditional Probability YouTube
  4. Lecture 6 : Bayes’ Theorem YouTube

Week 3

  1. Lecture 7 : Independent Events YouTube
  2. Lecture 7A : Independent Events (Contd.) YouTube
  3. Lecture 8 :Discrete Random Variables YouTube
  4. Lecture 9 : Probability Mass Function YouTube

Week 4

  1. Lecture 10 : Cumulative Distribution Function YouTube
  2. Lecture 11 : Expectation of a Discrete Random Variable YouTube
  3. Lecture 12 : Variance YouTube

Week 5

  1. Lecture 13 : Binomial Distribution YouTube
  2. Lecture 14 : Negative Binomial Distribution YouTube
  3. Lecture 15 : Hypergeometric and Poisson Distributions YouTube
  4. Lecture 15 A : Hypergeometric and Poisson Distributions (Contd.) YouTube

Week 6

  1. Lecture 16 : Continuous Random Variables YouTube
  2. Lecture 17 : CDF Of A Continuous Distribution YouTube
  3. Lecture 18 : Expectation Of A Continuous Random Variable YouTube
  4. Lecture 18 A : Exponential And Gamma Distributions YouTube

Week 7

  1. Lecture 19 YouTube
  2. Lecture 20 YouTube
  3. Lecture 21 YouTube

Week 8

  1. Lecture 22 : Expectations Of Functions Of Several Variables YouTube
  2. Lecture 23 : Covariance YouTube
  3. Lecture 24 : Correlation Coefficient YouTube
  4. Lecture 24 A : Statistic YouTube

Week 9

  1. Lecture 25 YouTube
  2. Lecture 26 YouTube
  3. Lecture 27 YouTube

Week 10

  1. Lecture 28 YouTube
  2. Lecture 29 YouTube
  3. Lecture 30 YouTube
  4. Lecture 30A YouTube

Week 11

  1. Lecture 31 YouTube
  2. Lecture 32 YouTube
  3. Lecture 33 YouTube
  4. Lecture 33 A YouTube

Week 12

  1. Lecture 34 YouTube
  2. Lecture 35 YouTube
  3. Lecture 36 YouTube

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
ISI Delhi
Department
Mathematics
Teacher
Prof. Abhay Gopal Bhatt
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 Delhi.
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