# Introduction to Probability Theory and Statistics

- Institution: IIT Delhi
- Department: Mathematics
- Teacher: Prof. S Dharmaraja
- Level: Undergraduate
- Language: English
- Subjects: Mathematics
- Source: [NPTEL](https://nptel.ac.in/courses/111102160)
- Licence: [CC BY-NC-SA](https://nptel.ac.in/faq) (Non-commercial use only.)
- Syllabus: [at the source](https://nptel.ac.in/courses/111102160)
- Who can watch: Tweens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

## Lectures

1. [Lecture 1](https://invisiblenetwork.ai/learn/nptel/111102160/395fd290ac86) (Video)
2. [Random experiment, sample space, axioms of probability, probability space. (Cont...)](https://invisiblenetwork.ai/learn/nptel/111102160/0436afd08d04) (Video)
3. [Random experiment, sample space, axioms of probability, probability space. (Contd...)](https://invisiblenetwork.ai/learn/nptel/111102160/bddb1bca5366) (Video)
4. [Conditional probability, independence of events.](https://invisiblenetwork.ai/learn/nptel/111102160/80a447e16a15) (Video)
5. [Multiplication rule, total probability rule, Bayes's theorem.](https://invisiblenetwork.ai/learn/nptel/111102160/1cc72f380af4) (Video)
6. [Lecture 6](https://invisiblenetwork.ai/learn/nptel/111102160/d76f43a466cd) (Video)
7. [Definition of Random Variable, Cumulative Distribution Function (Continued 1)](https://invisiblenetwork.ai/learn/nptel/111102160/38d5a61d2f89) (Video)
8. [Definition of Random Variable, Cumulative Distribution Function (Continued 2)](https://invisiblenetwork.ai/learn/nptel/111102160/2220e6ac3915) (Video)
9. [Type of Random Variables, Probability Mass Function, Probability Density Function](https://invisiblenetwork.ai/learn/nptel/111102160/b1805f74d72f) (Video)
10. [Type of Random Variables, Probability Mass Function, Probability Density Function (continued 1)](https://invisiblenetwork.ai/learn/nptel/111102160/0003e29a35d5) (Video)
11. [Distribution of Function of Random Variables](https://invisiblenetwork.ai/learn/nptel/111102160/dad288445338) (Video)
12. [Lecture 12](https://invisiblenetwork.ai/learn/nptel/111102160/b97e36968ebe) (Video)
13. [Mean and Variance Continued](https://invisiblenetwork.ai/learn/nptel/111102160/dbda43e03b82) (Video)
14. [Higher Order Moments and Moments Inequalities](https://invisiblenetwork.ai/learn/nptel/111102160/963efa600f48) (Video)
15. [Higher Order Moments and Moments Inequalities Continued](https://invisiblenetwork.ai/learn/nptel/111102160/7f7c1fcb01af) (Video)
16. [Generating Functions](https://invisiblenetwork.ai/learn/nptel/111102160/26710e3401ee) (Video)
17. [Generating Functions Continued](https://invisiblenetwork.ai/learn/nptel/111102160/bd66de3120da) (Video)
18. [Lecture 18](https://invisiblenetwork.ai/learn/nptel/111102160/de892c3a1447) (Video)
19. [Common Discrete Distributions Continued](https://invisiblenetwork.ai/learn/nptel/111102160/7b5cc7b8ac3a) (Video)
20. [Common Continuous Distributions](https://invisiblenetwork.ai/learn/nptel/111102160/66daaf40c588) (Video)
21. [Common Continuous Distributions Continued](https://invisiblenetwork.ai/learn/nptel/111102160/f4928d8ec989) (Video)
22. [Applications of Random Variable](https://invisiblenetwork.ai/learn/nptel/111102160/c03bb652da19) (Video)
23. [Applications of Random Variable Continued](https://invisiblenetwork.ai/learn/nptel/111102160/d9f7033cf938) (Video)
24. [Lecture 24](https://invisiblenetwork.ai/learn/nptel/111102160/66fa2526a31d) (Video)
25. [Joint probability mass function](https://invisiblenetwork.ai/learn/nptel/111102160/f78a65d03a0d) (Video)
26. [Joint probability density function](https://invisiblenetwork.ai/learn/nptel/111102160/d0f57072a7df) (Video)
27. [Independent random variables](https://invisiblenetwork.ai/learn/nptel/111102160/d8961b0b3c9f) (Video)
28. [Independent random variables Continued](https://invisiblenetwork.ai/learn/nptel/111102160/cbdc3ab9fe0c) (Video)
29. [Lecture 29](https://invisiblenetwork.ai/learn/nptel/111102160/35d1c34ca807) (Video)
30. [Functions of several random variables continued](https://invisiblenetwork.ai/learn/nptel/111102160/8a5a90539ff2) (Video)
31. [Some important results](https://invisiblenetwork.ai/learn/nptel/111102160/4e1b58ecdba1) (Video)
32. [Order statistics](https://invisiblenetwork.ai/learn/nptel/111102160/9ec170d59ad4) (Video)
33. [Conditional distributions](https://invisiblenetwork.ai/learn/nptel/111102160/3b6750871faf) (Video)
34. [Random sum](https://invisiblenetwork.ai/learn/nptel/111102160/5f6e08431233) (Video)
35. [Lecture 35](https://invisiblenetwork.ai/learn/nptel/111102160/42e07c4df4bf) (Video)
36. [Variance Covariance matrix](https://invisiblenetwork.ai/learn/nptel/111102160/d99f292ec6b7) (Video)
37. [Multivariate Normal distribution](https://invisiblenetwork.ai/learn/nptel/111102160/d801624fcee8) (Video)
38. [Probability generating function and Moment generating function](https://invisiblenetwork.ai/learn/nptel/111102160/f6e8767bcfcd) (Video)
39. [Correlation coefficient](https://invisiblenetwork.ai/learn/nptel/111102160/095aaa5a046f) (Video)
40. [Conditional Expectation](https://invisiblenetwork.ai/learn/nptel/111102160/1016e5155c36) (Video)
41. [Conditional Expectation continued.](https://invisiblenetwork.ai/learn/nptel/111102160/047b234888a4) (Video)
42. [Lecture 42](https://invisiblenetwork.ai/learn/nptel/111102160/deb8c9825e32) (Video)
43. [Mode of Convergence (Continued)](https://invisiblenetwork.ai/learn/nptel/111102160/7378c0ddfa7d) (Video)
44. [Law of Large Numbers](https://invisiblenetwork.ai/learn/nptel/111102160/84b399ef8864) (Video)
45. [Central Limit Theorem](https://invisiblenetwork.ai/learn/nptel/111102160/1b31c5f8cf63) (Video)
46. [Central Limit Theorem (Continued)](https://invisiblenetwork.ai/learn/nptel/111102160/b403e13131f1) (Video)
47. [Lecture 47](https://invisiblenetwork.ai/learn/nptel/111102160/e835a6aa4302) (Video)
48. [Lecture 48](https://invisiblenetwork.ai/learn/nptel/111102160/1e9bfff77266) (Video)
49. [Lecture 49](https://invisiblenetwork.ai/learn/nptel/111102160/dbfc11182f49) (Video)
50. [Lecture 50](https://invisiblenetwork.ai/learn/nptel/111102160/538870ed6cda) (Video)
51. [Lecture 51](https://invisiblenetwork.ai/learn/nptel/111102160/b843caa7c768) (Video)
52. [Lecture 52](https://invisiblenetwork.ai/learn/nptel/111102160/66e0c55fa6b4) (Video)
53. [Lecture 53](https://invisiblenetwork.ai/learn/nptel/111102160/94c9afc758e5) (Video)
54. [Lecture 54](https://invisiblenetwork.ai/learn/nptel/111102160/cf40473c39e9) (Video)
55. [Lecture 55](https://invisiblenetwork.ai/learn/nptel/111102160/92aa9283718f) (Video)
56. [Lecture 56](https://invisiblenetwork.ai/learn/nptel/111102160/9beaf1747a7e) (Video)
57. [Lecture 57](https://invisiblenetwork.ai/learn/nptel/111102160/ce82b70d46ed) (Video)
58. [Lecture 58](https://invisiblenetwork.ai/learn/nptel/111102160/a3e7152968d2) (Video)