Mathematics - Statistical Inference (English)

   Wednesday, April 02, 2025   

Starting a new Lecture Notes Series on Mathematics - Statistical Inference

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Mathematics - Statistical Inference By Lecture Notes together!

Lecture 1: Mod-01 Lec-01 Introduction and Motivation

Lecture 2: Mod-02 Lec-02 Basic Concepts of Point Estimations - I

Lecture 3: Mod-03 Lec-03 Basic Concepts of Point Estimations - II

Lecture 4: Mod-04 Lec-04 Finding Estimators - I

Lecture 5: Mod-05 Lec-05 Finding Estimators - II

Lecture 6: Mod-06 Lec-06 Finding Estimators - III

Lecture 7: Mod-07 Lec-07 Properties of MLEs

Lecture 8: Mod-08 Lec-08 Lower Bounds for Variance - I

Lecture 9: Mod-09 Lec-09 Lower Bounds for Variance - II

Lecture 10: Mod-10 Lec-10 Lower Bounds for Variance - III

Lecture 11: Mod-11 Lec-11 Lower Bounds for Variance - IV

Lecture 12: Mod-12 Lec-12 Sufficiency

Lecture 13: Mod-13 Lec-13 Sufficiency and Information

Lecture 14: Mod-14 Lec-14 Minimal Sufficiency, Completeness

Lecture 15: Mod-15 Lec-15 UMVU Estimation, Ancillarity

Lecture 16: Mod-16 Lec-16 Invariance - I

Lecture 17: Mod-17 Lec-17 Invariance - II

Lecture 18: Mod-18 Lec-18 Bayes and Minimax Estimation - I

Lecture 19: Mod-19 Lec-19 Bayes and Minimax Estimation - II

Lecture 20: Mod-20 Lec-20 Bayes and Minimax Estimation - III

Lecture 21: Mod-21 Lec-21 Testing of Hypotheses : Basic Concepts

Lecture 22: Mod-22 Lec-22 Neyman Pearson Fundamental Lemma

Lecture 23: Mod-23 Lec-23 Applications of NP lemma

Lecture 24: Mod-24 Lec-24 UMP Tests

Lecture 25: Mod-25 Lec-25 UMP Tests (Contd.)

Lecture 26: Mod-26 Lec-26 UMP Unbiased Tests

Lecture 27: Mod-27 Lec-27 UMP Unbiased Tests (Contd.)

Lecture 28: Mod-28 Lec-28 UMP Unbiased Tests : Applications

Lecture 29: Mod-29 Lec-29 Unbiased Tests for Normal Populations

Lecture 30: Mod-30 Lec-30 Unbiased Tests for Normal Populations (Contd.)

Lecture 31: Mod-31 Lec-31 Likelihood Ratio Tests - I

Lecture 32: Mod-32 Lec-32 Likelihood Ratio Tests - II

Lecture 33: Mod-33 Lec-33 Likelihood Ratio Tests - III

Lecture 34: Mod-34 Lec-34 Likelihood Ratio Tests - IV

Lecture 35: Mod-35 Lec-35 Invariant Tests

Lecture 36: Mod-36 Lec-36 Test for Goodness of Fit

Lecture 37: Mod-37 Lec-37 Sequential Procedure

Lecture 38: Mod-38 Lec-38 Sequential Procedure (Contd.)

Lecture 39: Mod-39 Lec-39 Confidence Intervals

Lecture 40: Mod-40 Lec-40 Confidence Intervals (Contd.)