Mathematics - Probability and Statistics

Overview

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COURSE OUTLINE: The use of statistical reasoning and methodology is indispensable in modern world. It is applicable to every discipline, be it physical sciences, engineering and technology, economics or social sciences. Much of the advanced research in electronics, electrical, computer science, industrial engineering, biology, genetics, and information science relies increasingly on use of statistical tools. It is essential for the students to get acquainted with the subject of probability and statistics at an early stage. The present course has been designed to introduce the subject to undergraduate/postgraduate students in science and engineering.

Syllabus

Mod-01 Lec-01 Algebra of Sets - I.
Mod-01 Lec-02 Algebra of Sets - II.
Mod-01 Lec-03 Introduction to Probability.
Mod-01 Lec-04 Laws of Probability - I.
Mod-01 Lec-05 Laws of Probability - II.
Mod-01 Lec-06 Problems in Proability.
Mod-01 Lec-07 Random Variables.
Mod-01 Lec-08 Probability Distributions.
Mod-01 Lec-09 Characteristics of Distributions.
Mod-01 Lec-10 Special Distributions - I.
Mod-01 Lec-11 Special Distributions - II.
Mod-01 Lec-12 Special Distributions - III.
Mod-01 Lec-18 Joint Distributions - I.
Mod-01 Lec-13 Special Distributions - IV.
Mod-01 Lec-14 Special Distributions - V.
Mod-01 Lec-15 Special Distributions - VI.
Mod-01 Lec-16 Special Distributions - VII.
Mod-01 Lec-17 Function of a Random Variable.
Mod-01Lec-19 Joint Distributions - II.
Mod-01 Lec-20 Joint Distributions - III.
Mod-01 Lec-21 Joint Distributions - IV.
Mod-01 Lec-22 Transformations of Random Vectors.
Mod-01 Lec-23 Sampling Distributions - I.
Mod-01 Lec-24 Sampling Distributions - II.
Mod-01 Lec-25 Descriptive Statistics - I.
Mod-01 Lec-26 Descriptive Statistics - II.
Mod-01 Lec-27 Estimation - I.
Mod-01 Lec-28 Estimation - II.
Mod-01 Lec-29 Estimation - III.
Mod-01 Lec-30 Estimation - IV.
Mod-01 Lec-31 Estimation - V.
Mod-01 Lec-32 Estimation - VI.
Mod-01 Lec-33 Testing of Hypothesis - I.
Mod-01 Lec-34 Testing of Hypothesis - II.
Mod-01 Lec-35 Testing of Hypothesis - III.
Mod-01 Lec-36 Testing of Hypothesis - IV.
Mod-01 Lec-37 Testing of Hypothesis - V.
Mod-01 Lec-38 Testing of Hypothesis - VI.
Mod-01 Lec-39 Testing of Hypothesis VII.
Mod-01 Lec-40 Testing of Hypothesis - VIII.