NPTEL
Mathematics
Statistical Inference (Video)
Introduction and Motivation

Modules / Lectures

Introduction and Motivation
- Introduction and Motivation
Basic Concepts of Point Estimations - I
- Basic Concepts of Point Estimations - I
Basic Concepts of Point Estimations - II
- Basic Concepts of Point Estimations - II
Finding Estimators - I
- Finding Estimators - I
Finding Estimators - II
- Finding Estimators - II
Finding Estimators - III
- Finding Estimators - III
Properties of MLEs
- Properties of MLEs
Lower Bounds for Variance - I
- Lower Bounds for Variance - I
Lower Bounds for Variance - II
- Lower Bounds for Variance - II
Lower Bounds for Variance - III
- Lower Bounds for Variance - III
Lower Bounds for Variance - IV
- Lower Bounds for Variance - IV
Sufficiency
- Sufficiency
Sufficiency and Information
- Sufficiency and Information
Minimal Sufficiency, Completeness
- Minimal Sufficiency, Completeness
UMVU Estimation,Ancillarity
- UMVU Estimation, Ancillarity
Invariance - I
- Invariance - I
Invariance - II
- Invariance - II
Bayes and Minimax Estimation - I
- Bayes and Minimax Estimation - I
Bayes and Minimax Estimation - II
- Bayes and Minimax Estimation - II
Bayes and Minimax Estimation - III
- Bayes and Minimax Estimation - III
Testing of Hypotheses :Basic Concepts
- Testing of Hypotheses : Basic Concepts
Neyman Pearson Fundamental Lemma
- Neyman Pearson Fundamental Lemma
Applications of NP Lemma
- Applications of NP lemma
UMP Tests
- UMP Tests
UMP Tests (Contd.)
- UMP Tests (Contd.)
UMP Unbiased Tests
- UMP Unbiased Tests
UMP Unbiased Tests (Contd.)
- UMP Unbiased Tests (Contd.)
UMP Unbiased Tests : Applications
- UMP Unbiased Tests : Applications
Unbiased Tests for Normal Populations
- Unbiased Tests for Normal Populations
Unbiased Tests for Normal Populations (Contd.)
- Unbiased Tests for Normal Populations (Contd.)
Likelihood Ratio Tests - I
- Likelihood Ratio Tests - I
Likelihood Ratio Tests - II
- Likelihood Ratio Tests - II
Likelihood Ratio Tests - III
- Likelihood Ratio Tests - III
Likelihood Ratio Tests - IV
- Likelihood Ratio Tests - IV
Invariant Tests
- Invariant Tests
Test for Goodness of Fit
- Test for Goodness of Fit
Sequential Procedure
- Sequential Procedure
Sequential Procedure (Contd.)
- Sequential Procedure (Contd.)
Confidence Intervals
- Confidence Intervals
Confidence Intervals (Contd.)
- Confidence Intervals (Contd.)

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