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Course11110504340 lectures

Statistical Inference

Prof. Somesh Kumar · IIT Kharagpur

Start with lecture 1 At NPTEL

Lectures

Introduction and Motivation

  1. Introduction and Motivation Video

Basic Concepts of Point Estimations - I

  1. Basic Concepts of Point Estimations - I Video

Basic Concepts of Point Estimations - II

  1. Basic Concepts of Point Estimations - II Video

Finding Estimators - I

  1. Finding Estimators - I Video

Finding Estimators - II

  1. Finding Estimators - II Video

Finding Estimators - III

  1. Finding Estimators - III Video

Properties of MLEs

  1. Properties of MLEs Video

Lower Bounds for Variance - I

  1. Lower Bounds for Variance - I Video

Lower Bounds for Variance - II

  1. Lower Bounds for Variance - II Video

Lower Bounds for Variance - III

  1. Lower Bounds for Variance - III Video

Lower Bounds for Variance - IV

  1. Lower Bounds for Variance - IV Video

Sufficiency

  1. Sufficiency Video

Sufficiency and Information

  1. Sufficiency and Information Video

Minimal Sufficiency, Completeness

  1. Minimal Sufficiency, Completeness Video

UMVU Estimation,Ancillarity

  1. UMVU Estimation, Ancillarity Video

Invariance - I

  1. Invariance - I Video

Invariance - II

  1. Invariance - II Video

Bayes and Minimax Estimation - I

  1. Bayes and Minimax Estimation - I Video

Bayes and Minimax Estimation - II

  1. Bayes and Minimax Estimation - II Video

Bayes and Minimax Estimation - III

  1. Bayes and Minimax Estimation - III Video

Testing of Hypotheses :Basic Concepts

  1. Testing of Hypotheses : Basic Concepts Video

Neyman Pearson Fundamental Lemma

  1. Neyman Pearson Fundamental Lemma Video

Applications of NP Lemma

  1. Applications of NP lemma Video

UMP Tests

  1. UMP Tests Video

UMP Tests (Contd.)

  1. UMP Tests (Contd.) Video

UMP Unbiased Tests

  1. UMP Unbiased Tests Video

UMP Unbiased Tests (Contd.)

  1. UMP Unbiased Tests (Contd.) Video

UMP Unbiased Tests : Applications

  1. UMP Unbiased Tests : Applications Video

Unbiased Tests for Normal Populations

  1. Unbiased Tests for Normal Populations Video

Unbiased Tests for Normal Populations (Contd.)

  1. Unbiased Tests for Normal Populations (Contd.) Video

Likelihood Ratio Tests - I

  1. Likelihood Ratio Tests - I Video

Likelihood Ratio Tests - II

  1. Likelihood Ratio Tests - II Video

Likelihood Ratio Tests - III

  1. Likelihood Ratio Tests - III Video

Likelihood Ratio Tests - IV

  1. Likelihood Ratio Tests - IV Video

Invariant Tests

  1. Invariant Tests Video

Test for Goodness of Fit

  1. Test for Goodness of Fit Video

Sequential Procedure

  1. Sequential Procedure Video

Sequential Procedure (Contd.)

  1. Sequential Procedure (Contd.) Video

Confidence Intervals

  1. Confidence Intervals Video

Confidence Intervals (Contd.)

  1. Confidence Intervals (Contd.) Video

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
IIT Kharagpur
Department
Mathematics
Teacher
Prof. Somesh Kumar
Level
Undergraduate
Language
English
Subjects
Mathematics
Source
NPTEL
Licence
CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
Attribution
NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
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