# Statistical Inference

- Institution: IIT Kharagpur
- Department: Mathematics
- Teacher: Prof. Somesh Kumar
- Level: Undergraduate
- Language: English
- Subjects: Mathematics
- Source: [NPTEL](https://nptel.ac.in/courses/111105043)
- Licence: [CC BY-NC-SA](https://nptel.ac.in/faq) (Non-commercial use only.)
- Syllabus: [at the source](https://nptel.ac.in/courses/111105043)
- Who can watch: Tweens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

## Lectures

1. [Introduction and Motivation](https://invisiblenetwork.ai/learn/nptel/111105043/5c1eeaf163ea) (Video)
2. [Basic Concepts of Point Estimations - I](https://invisiblenetwork.ai/learn/nptel/111105043/24ea75999169) (Video)
3. [Basic Concepts of Point Estimations - II](https://invisiblenetwork.ai/learn/nptel/111105043/f355f7dbb0af) (Video)
4. [Finding Estimators - I](https://invisiblenetwork.ai/learn/nptel/111105043/f178fc828aaf) (Video)
5. [Finding Estimators - II](https://invisiblenetwork.ai/learn/nptel/111105043/60434f6fa7c5) (Video)
6. [Finding Estimators - III](https://invisiblenetwork.ai/learn/nptel/111105043/bf11b08e932e) (Video)
7. [Properties of MLEs](https://invisiblenetwork.ai/learn/nptel/111105043/3022ade9a927) (Video)
8. [Lower Bounds for Variance - I](https://invisiblenetwork.ai/learn/nptel/111105043/77c7abe8ed44) (Video)
9. [Lower Bounds for Variance - II](https://invisiblenetwork.ai/learn/nptel/111105043/bbb124db33e2) (Video)
10. [Lower Bounds for Variance - III](https://invisiblenetwork.ai/learn/nptel/111105043/af80f446d822) (Video)
11. [Lower Bounds for Variance - IV](https://invisiblenetwork.ai/learn/nptel/111105043/fc269adcd8fd) (Video)
12. [Sufficiency](https://invisiblenetwork.ai/learn/nptel/111105043/4f7218e845a0) (Video)
13. [Sufficiency and Information](https://invisiblenetwork.ai/learn/nptel/111105043/7dcef9f047fb) (Video)
14. [Minimal Sufficiency, Completeness](https://invisiblenetwork.ai/learn/nptel/111105043/c64b793946a0) (Video)
15. [UMVU Estimation, Ancillarity](https://invisiblenetwork.ai/learn/nptel/111105043/de8a9b0a7459) (Video)
16. [Invariance - I](https://invisiblenetwork.ai/learn/nptel/111105043/6eb16cab7965) (Video)
17. [Invariance - II](https://invisiblenetwork.ai/learn/nptel/111105043/4fe575758d66) (Video)
18. [Bayes and Minimax Estimation - I](https://invisiblenetwork.ai/learn/nptel/111105043/fa72f630ed2a) (Video)
19. [Bayes and Minimax Estimation - II](https://invisiblenetwork.ai/learn/nptel/111105043/c777c85f717d) (Video)
20. [Bayes and Minimax Estimation - III](https://invisiblenetwork.ai/learn/nptel/111105043/36e32d53290b) (Video)
21. [Testing of Hypotheses : Basic Concepts](https://invisiblenetwork.ai/learn/nptel/111105043/d9062c96b090) (Video)
22. [Neyman Pearson Fundamental Lemma](https://invisiblenetwork.ai/learn/nptel/111105043/6038a46d645b) (Video)
23. [Applications of NP lemma](https://invisiblenetwork.ai/learn/nptel/111105043/b248fede100d) (Video)
24. [UMP Tests](https://invisiblenetwork.ai/learn/nptel/111105043/114ff30740fd) (Video)
25. [UMP Tests (Contd.)](https://invisiblenetwork.ai/learn/nptel/111105043/2483e45ca2f0) (Video)
26. [UMP Unbiased Tests](https://invisiblenetwork.ai/learn/nptel/111105043/cf6e6973ee44) (Video)
27. [UMP Unbiased Tests (Contd.)](https://invisiblenetwork.ai/learn/nptel/111105043/cb70d04aa585) (Video)
28. [UMP Unbiased Tests : Applications](https://invisiblenetwork.ai/learn/nptel/111105043/bb2de9167390) (Video)
29. [Unbiased Tests for Normal Populations](https://invisiblenetwork.ai/learn/nptel/111105043/51d4559e51c9) (Video)
30. [Unbiased Tests for Normal Populations (Contd.)](https://invisiblenetwork.ai/learn/nptel/111105043/19524a2b4b12) (Video)
31. [Likelihood Ratio Tests - I](https://invisiblenetwork.ai/learn/nptel/111105043/fc7443aee0e4) (Video)
32. [Likelihood Ratio Tests - II](https://invisiblenetwork.ai/learn/nptel/111105043/7fd24fbbb829) (Video)
33. [Likelihood Ratio Tests - III](https://invisiblenetwork.ai/learn/nptel/111105043/3f2f197812d3) (Video)
34. [Likelihood Ratio Tests - IV](https://invisiblenetwork.ai/learn/nptel/111105043/9fc1a7dc7287) (Video)
35. [Invariant Tests](https://invisiblenetwork.ai/learn/nptel/111105043/985ce405d74b) (Video)
36. [Test for Goodness of Fit](https://invisiblenetwork.ai/learn/nptel/111105043/b05380d53c0e) (Video)
37. [Sequential Procedure](https://invisiblenetwork.ai/learn/nptel/111105043/d0a7fb0eb196) (Video)
38. [Sequential Procedure (Contd.)](https://invisiblenetwork.ai/learn/nptel/111105043/b4fbe318bf3a) (Video)
39. [Confidence Intervals](https://invisiblenetwork.ai/learn/nptel/111105043/b73396beaaaa) (Video)
40. [Confidence Intervals (Contd.)](https://invisiblenetwork.ai/learn/nptel/111105043/7596f757fa57) (Video)