NPTEL : NOC:Statistical Inference (2019) (Mathematics)

Co-ordinators : Prof. Somesh Kumar


Lecture 1 - Introduction and Motivation - I

Lecture 2 - Introduction and Motivation - II

Lecture 3 - Basic Concepts of Point Estimations - I

Lecture 4 - Basic Concepts of Point Estimations - II

Lecture 5 - Basic Concepts of Point Estimations - III

Lecture 6 - Basic Concepts of Point Estimations - IV

Lecture 7 - Finding Estimators - I

Lecture 8 - Finding Estimators - II

Lecture 9 - Finding Estimators - III

Lecture 10 - Finding Estimators - IV

Lecture 11 - Finding Estimators - V

Lecture 12 - Finding Estimators - VI

Lecture 13 - Properties of MLEs - I

Lecture 14 - Properties of MLEs - II

Lecture 15 - Lower Bounds for Variance - I

Lecture 16 - Lower Bounds for Variance - II

Lecture 17 - Lower Bounds for Variance - III

Lecture 18 - Lower Bounds for Variance - IV

Lecture 19 - Lower Bounds for Variance - V

Lecture 20 - Lower Bounds for Variance - VI

Lecture 21 - Lower Bounds for Variance - VII

Lecture 22 - Lower Bounds for Variance - VIII

Lecture 23 - Sufficiency - I

Lecture 24 - Sufficiency - II

Lecture 25 - Sufficiency and Information - I

Lecture 26 - Sufficiency and Information - II

Lecture 27 - Minimal Sufficiency, Completeness - I

Lecture 28 - Minimal Sufficiency, Completeness - II

Lecture 29 - UMVU Estimation, Ancillarity - I

Lecture 30 - UMVU Estimation, Ancillarity - II

Lecture 31 - Testing of Hypotheses : Basic Concepts - I

Lecture 32 - Testing of Hypotheses : Basic Concepts - II

Lecture 33 - Neyman Pearson Fundamental Lemma - I

Lecture 34 - Neyman Pearson Fundamental Lemma - II

Lecture 35 - Application of NP-Lemma - I

Lecture 36 - Application of NP-Lemma - II

Lecture 37 - UMP Tests - I

Lecture 38 - UMP Tests - II

Lecture 39 - UMP Tests - III

Lecture 40 - UMP Tests - IV

Lecture 41 - UMP Unbiased Tests - I

Lecture 42 - UMP Unbiased Tests - II

Lecture 43 - UMP Unbiased Tests - III

Lecture 44 - UMP Unbiased Tests - IV

Lecture 45 - Applications of UMP Unbiased Tests - I

Lecture 46 - Applications of UMP Unbiased Tests - II

Lecture 47 - Unbiased Test for Normal Populations - I

Lecture 48 - Unbiased Test for Normal Populations - II

Lecture 49 - Unbiased Test for Normal Populations - III

Lecture 50 - Unbiased Test for Normal Populations - IV

Lecture 51 - Likelihood Ratio Tests - I

Lecture 52 - Likelihood Ratio Tests - II

Lecture 53 - Likelihood Ratio Tests - III

Lecture 54 - Likelihood Ratio Tests - IV

Lecture 55 - Likelihood Ratio Tests - V

Lecture 56 - Likelihood Ratio Tests - VI

Lecture 57 - Likelihood Ratio Tests - VII

Lecture 58 - Likelihood Ratio Tests - VIII

Lecture 59 - Test for Goodness of Fit - I

Lecture 60 - Test for Goodness of Fit - II

Lecture 61 - Interval Estimation - I

Lecture 62 - Interval Estimation - II

Lecture 63 - Interval Estimation - III

Lecture 64 - Interval Estimation - IV