2016-10-14

Somesh Kumar: Statistical Inference (IIT Kharagpur)

# playlist of the 40 videos (click the up-left corner of the video)

source: nptelhrd    2013年6月11日
Mathematics - Statistical Inference by Prof. Somesh Kumar, Department of Mathematics, IIT Kharagpur. For more details on NPTEL visit http://nptel.iitm.ac.in

01 Introduction and Motivation 58:18
02 Basic Concepts of Point Estimations - I 59:28
03 Basic Concepts of Point Estimations - II 55:56
04 Finding Estimators - I 53:00
05 Finding Estimators - II 57:36
06 Finding Estimators - III 59:28
07 Properties of MLEs 59:21
08 Lower Bounds for Variance - I 59:08
09 Lower Bounds for Variance - II 56:35
10 Lower Bounds for Variance - III 53:35
11 Lower Bounds for Variance - IV 1:00:06
12 Sufficiency 58:36
13 Sufficiency and Information 55:30
14 Minimal Sufficiency, Completeness 59:48
15 UMVU Estimation, Ancillarity 59:05
16 Invariance - I 58:57
17 Invariance - II 58:24
18 Bayes and Minimax Estimation - I 57:53
19 Bayes and Minimax Estimation - II 57:58
20 Bayes and Minimax Estimation - III 55:03
21 Testing of Hypotheses : Basic Concepts 56:42
22 Neyman Pearson Fundamental Lemma 58:30
23 Applications of NP lemma 58:43
24 UMP Tests 58:46
25 UMP Tests (Contd.) 58:35
26 UMP Unbiased Tests 56:07
27 UMP Unbiased Tests (Contd.) 51:36
28 UMP Unbiased Tests : Applications 58:42
29 Unbiased Tests for Normal Populations 53:20
30 Unbiased Tests for Normal Populations (Contd.) 1:01:18
31 Likelihood Ratio Tests - I 58:15
32 Likelihood Ratio Tests - II 53:33
33 Likelihood Ratio Tests - III 54:31
34 Likelihood Ratio Tests - IV 58:11
35 Invariant Tests 53:38
36 Test for Goodness of Fit 55:58
37 Sequential Procedure 57:50
38 Sequential Procedure (Contd.) 59:31
39 Confidence Intervals 58:41
40 Confidence Intervals (Contd.) 59:14

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