# Probability and Statistics

- Institution: IIT Kharagpur
- Department: Mathematics
- Teacher: Prof. Somesh Kumar
- Level: Undergraduate
- Language: English
- Subjects: Mathematics
- Source: [NPTEL](https://nptel.ac.in/courses/111105090)
- Licence: [CC BY-NC-SA](https://nptel.ac.in/faq) (Non-commercial use only.)
- Syllabus: [at the source](https://nptel.ac.in/courses/111105090)
- 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: Sets, Classes, Collections](https://invisiblenetwork.ai/learn/nptel/111105090/869fc09f9533) (Video)
2. [Lecture 2: Sequence of Sets](https://invisiblenetwork.ai/learn/nptel/111105090/a9070c2b1066) (Video)
3. [Lecture 3: Ring, Field (Algebra)](https://invisiblenetwork.ai/learn/nptel/111105090/75bc621b58c6) (Video)
4. [Lecture 4:SigmaRing, SigmaField, Monotone Class](https://invisiblenetwork.ai/learn/nptel/111105090/f273975f585c) (Video)
5. [Lecture 5: Random Experiment, Events](https://invisiblenetwork.ai/learn/nptel/111105090/fc3cdf20c200) (Video)
6. [Lecture 6:Definitions of Probability](https://invisiblenetwork.ai/learn/nptel/111105090/ede7c168a82a) (Video)
7. [Lecture 7:Properties of Probability Function I](https://invisiblenetwork.ai/learn/nptel/111105090/18be265095ed) (Video)
8. [Lecture 8: Properties of Probability Function II](https://invisiblenetwork.ai/learn/nptel/111105090/206cad53108b) (Video)
9. [Lecture 9: Conditional Probability](https://invisiblenetwork.ai/learn/nptel/111105090/e471760ee069) (Video)
10. [Lecture 10: Independence of Events](https://invisiblenetwork.ai/learn/nptel/111105090/7f731125f27a) (Video)
11. [Lecture 11: Problems in ProbabilityI](https://invisiblenetwork.ai/learn/nptel/111105090/cf6c5953f5d4) (Video)
12. [Lecture 12: Problems in ProbabilityII](https://invisiblenetwork.ai/learn/nptel/111105090/e44a7322a2f3) (Video)
13. [Lecture 13: Random Variables](https://invisiblenetwork.ai/learn/nptel/111105090/308428fd9e3f) (Video)
14. [Lecture 14: Probability Distribution of a Random VariableI](https://invisiblenetwork.ai/learn/nptel/111105090/c7c66c5d1ae0) (Video)
15. [Lecture 15: Probability Distribution of a Random VariableII](https://invisiblenetwork.ai/learn/nptel/111105090/0e3a65cc9aee) (Video)
16. [Lecture 16 : Moments](https://invisiblenetwork.ai/learn/nptel/111105090/e6f7434481ca) (Video)
17. [Lecture 17: Characteristics of DistributionsI](https://invisiblenetwork.ai/learn/nptel/111105090/5373b3752655) (Video)
18. [Lecture 18 : Characteristics of DistributionsII](https://invisiblenetwork.ai/learn/nptel/111105090/733253fb980c) (Video)
19. [Lecture 19: Special Discrete DistributionsI](https://invisiblenetwork.ai/learn/nptel/111105090/0d64c79c7aa6) (Video)
20. [Lecture 20: Special Discrete DistributionsII](https://invisiblenetwork.ai/learn/nptel/111105090/7f86eb157879) (Video)
21. [Lecture 21: Special Discrete DistributionsIII](https://invisiblenetwork.ai/learn/nptel/111105090/b20cab0ec97a) (Video)
22. [Lecture 22: Poisson ProcessI](https://invisiblenetwork.ai/learn/nptel/111105090/708cbc093d90) (Video)
23. [Lecture 23: Poisson ProcessII](https://invisiblenetwork.ai/learn/nptel/111105090/2922f0ac2561) (Video)
24. [Lecture 24: Special Continuous DistributionsI](https://invisiblenetwork.ai/learn/nptel/111105090/4dae5c594755) (Video)
25. [Lecture 25: Special Continuous DistributionsII](https://invisiblenetwork.ai/learn/nptel/111105090/a1d0ca15c2da) (Video)
26. [Lecture 26: Special Continuous DistributionsIII](https://invisiblenetwork.ai/learn/nptel/111105090/b3ef1e02a7d0) (Video)
27. [Lecture 27: Special Continuous DistributionsIV](https://invisiblenetwork.ai/learn/nptel/111105090/d9383ce0f96b) (Video)
28. [Lecture 28: Special Continuous DistributionsV](https://invisiblenetwork.ai/learn/nptel/111105090/cfd7b7834724) (Video)
29. [Lecture 29: Normal Distribution](https://invisiblenetwork.ai/learn/nptel/111105090/66f34fbc146f) (Video)
30. [Lecture 30: Problems on Normal Distribution](https://invisiblenetwork.ai/learn/nptel/111105090/4e06639f09a3) (Video)
31. [Lecture 31: Problems on Special DistributionsI](https://invisiblenetwork.ai/learn/nptel/111105090/0caa19187b99) (Video)
32. [Lecture 32: Problems on Special DistributionsII](https://invisiblenetwork.ai/learn/nptel/111105090/5115c5fd260b) (Video)
33. [Lecture 33: Function of a Random VariableI](https://invisiblenetwork.ai/learn/nptel/111105090/35e3b51af927) (Video)
34. [Lecture 34: Function of a Random VariableII](https://invisiblenetwork.ai/learn/nptel/111105090/b1e10eb083c3) (Video)
35. [Lecture 35 : Joint DistributionsI](https://invisiblenetwork.ai/learn/nptel/111105090/6a9071c5247d) (Video)
36. [Lecture 36 : Joint DistributionsII](https://invisiblenetwork.ai/learn/nptel/111105090/aa0c8341ebb1) (Video)
37. [Lecture 37 : Independence, Product Moments](https://invisiblenetwork.ai/learn/nptel/111105090/685eac8e9383) (Video)
38. [Lecture 38: Linearity Property of Correlation and Examples](https://invisiblenetwork.ai/learn/nptel/111105090/5bc3cd76573d) (Video)
39. [Lecture 39 : Bivariate Normal DistributionI](https://invisiblenetwork.ai/learn/nptel/111105090/2eef441ec213) (Video)
40. [Lecture 40 : Bivariate Normal DistributionII](https://invisiblenetwork.ai/learn/nptel/111105090/96619eb7d35f) (Video)
41. [Lecture 41: Additive Properties of Distributions I](https://invisiblenetwork.ai/learn/nptel/111105090/b59dd1fc0c4d) (Video)
42. [Lecture 42: Additive Properties of DistributionsII](https://invisiblenetwork.ai/learn/nptel/111105090/6345d20828f7) (Video)
43. [Lecture 43: Transformation of Random Variables](https://invisiblenetwork.ai/learn/nptel/111105090/ed3631793c55) (Video)
44. [Lecture 44: Distribution of Order Statistics](https://invisiblenetwork.ai/learn/nptel/111105090/e5dba07d3347) (Video)
45. [Lecture 45: Basic Concepts](https://invisiblenetwork.ai/learn/nptel/111105090/ae944e525c26) (Video)
46. [Lecture 46: ChiSquare Distribution](https://invisiblenetwork.ai/learn/nptel/111105090/420b6c4667d8) (Video)
47. [Lecture 47: ChiSquare Distribution (Cont…), tDistribution](https://invisiblenetwork.ai/learn/nptel/111105090/64d3ee888fa3) (Video)
48. [Lecture 48 : FDistribution](https://invisiblenetwork.ai/learn/nptel/111105090/813ad974fb9f) (Video)
49. [Lecture 49 : Descriptive Statistics I](https://invisiblenetwork.ai/learn/nptel/111105090/86cbdf112d1f) (Video)
50. [Lecture 50 : Descriptive Statistics II](https://invisiblenetwork.ai/learn/nptel/111105090/8fa9d21e0ec3) (Video)
51. [Lecture 51 : Descriptive Statistics III](https://invisiblenetwork.ai/learn/nptel/111105090/0b28967504af) (Video)
52. [Lecture 52 : Descriptive Statistics IV](https://invisiblenetwork.ai/learn/nptel/111105090/f0108091f584) (Video)
53. [Lecture 53 : Introduction to Estimation](https://invisiblenetwork.ai/learn/nptel/111105090/747c559b7363) (Video)
54. [Lecture 54 : Unbiased and Consistent Estimators](https://invisiblenetwork.ai/learn/nptel/111105090/1ba2fad1fdcd) (Video)
55. [Lecture 55 : LSE, MME](https://invisiblenetwork.ai/learn/nptel/111105090/d0762934d435) (Video)
56. [Lecture 56: Examples on MME, MLE](https://invisiblenetwork.ai/learn/nptel/111105090/197b85eea075) (Video)
57. [Lecture 57 : Examples on MLEI](https://invisiblenetwork.ai/learn/nptel/111105090/e4d0e013b53c) (Video)
58. [Lecture 58 : Examples on MLEII, MSE](https://invisiblenetwork.ai/learn/nptel/111105090/bd071eba7d2b) (Video)
59. [Lecture 59 : UMVUE , Sufficiency, Completeness](https://invisiblenetwork.ai/learn/nptel/111105090/77c848589b3f) (Video)
60. [Lecture 60 : RaoBlackwell Theorem and Its Applications](https://invisiblenetwork.ai/learn/nptel/111105090/fdf5c34ecf08) (Video)
61. [Lecture 61 : Confidence Intervals I](https://invisiblenetwork.ai/learn/nptel/111105090/eb6b8bb8a7e1) (Video)
62. [Lecture 62 : Confidence Intervals II](https://invisiblenetwork.ai/learn/nptel/111105090/0ca5c4a94049) (Video)
63. [Lecture 63 : Confidence Intervals III](https://invisiblenetwork.ai/learn/nptel/111105090/ff006c57f846) (Video)
64. [Lecture 64 : Confidence Intervals IV](https://invisiblenetwork.ai/learn/nptel/111105090/d99a01923b9d) (Video)
65. [Lecture 65 : Basic Definitions](https://invisiblenetwork.ai/learn/nptel/111105090/a8c2e2082b39) (Video)
66. [Lecture 66: Two Types of Errors](https://invisiblenetwork.ai/learn/nptel/111105090/4479e0e77561) (Video)
67. [Lecture 67: NeymanPearson Fundamental Lemma](https://invisiblenetwork.ai/learn/nptel/111105090/7ab5a15046d1) (Video)
68. [Lecture 68 : Applications of NP Lemma I](https://invisiblenetwork.ai/learn/nptel/111105090/2ac87ab0707d) (Video)
69. [Lecture 69 : Applications of NP lemma II](https://invisiblenetwork.ai/learn/nptel/111105090/88558d8c5bf6) (Video)
70. [Lecture 70 : Testing for Normal Mean](https://invisiblenetwork.ai/learn/nptel/111105090/ec56af0ea6b7) (Video)
71. [Lecture 71 : Testing for Normal Variance](https://invisiblenetwork.ai/learn/nptel/111105090/caf92a8ff272) (Video)
72. [Lecture 72 : Large Sample Test for Variance and two Sample Problem](https://invisiblenetwork.ai/learn/nptel/111105090/515e2d6420db) (Video)
73. [Lecture 73 : Paired tTest](https://invisiblenetwork.ai/learn/nptel/111105090/4fb28eeb61d3) (Video)
74. [Lecture 74 : Examples](https://invisiblenetwork.ai/learn/nptel/111105090/0bf7813641ca) (Video)
75. [Live Session 27-08-2021](https://invisiblenetwork.ai/learn/nptel/111105090/869fc09f9533-2) (Video)
76. [Live Session 01-10-2021](https://invisiblenetwork.ai/learn/nptel/111105090/a9070c2b1066-2) (Video)
77. [Live Session 22-02-2024](https://invisiblenetwork.ai/learn/nptel/111105090/75bc621b58c6-2) (Video)
78. [Live Session 18-03-2024](https://invisiblenetwork.ai/learn/nptel/111105090/f273975f585c-2) (Video)
79. [Live Session 05-04-2024](https://invisiblenetwork.ai/learn/nptel/111105090/fc3cdf20c200-2) (Video)