VTU Online Class - Course Details

Probability And Statistics

Somesh Kumar

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(0) 22 Students

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What you will learn

EEE

Mathematics

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. The course contains a good introduction to each topic and an advance treatment of theory at a fairly understandable level to the students at this stage. Each concept has been explained through examples and application oriented problems.

Sets, Classes, Collection

Sequence of Sets

Ring, Field (Algebra)

Sigma-Ring, Sigma-Field, Monotone Class

Random Experiment, Events

Definitions of Probability

Properties of Probability Function-I

Properties of Probability Function-II

Lecture 9: Conditional Probability

Lecture - 10 : Independence of Events

Lecture - 11 : Problems in Probability-I

Lecture - 12 : Problems in Probability-II

Lecture - 13 : Random Variables

Lecture - 14 : Probability Distribution of a Random Variable-I

Lecture - 15 : Probability Distribution of a Random Variable-II

Lecture - 16 : Moments

Lecture 17: Characteristics of Distributions - I

Lecture 18: Characteristics of Distributions - II

Lecture 19: Special Discrete Distributions - I

Lecture 20: Lecture 19: Special Discrete Distributions - II

Lecture 21: Special Discrete Distributions - III

Lecture 22: Poisson Process - I

Lecture 23: Poisson Process - II

Lecture 24: Special Continuous Distributions - I

Lecture 25: Special Continuous Distributions - II

Lecture 26: Special Continuous Distributions - III

Lecture 27: Special Continuous Distributions - IV

Lecture 28: Special Continuous Distributions - V

Lecture 29: Normal Distribution

Lecture 30: Problems on Normal Distribution

Lecture 31: Problems on Special Distributions - I

Lecture 32: Problems on Special Distributions - II

Lecture 33: Function of a random variable - I

Lecture 34: Function of a random variable - II

Lecture 35: Joint Distributions - I

Lecture 36: Joint Distributions - II

Lecture 37 : Independence, Product Moments

Lecture 38 : Linearity Property of Correlation and Examples

Lecture 39 : Bivariate Normal Distribution - I

Lecture 40: Bivariate Normal Distribution - II

Lecture 41 : Additive Properties of Distributions - I

Lecture 42: Additive Properties of Distributions - II

Lecture 43: Transformation of Random Variables

Lecture 44:Distribution of Order Statistics

Lecture 45: Basic Concepts

Lecture 46: Chi-Square Distribution

Lecture 47: Chi-Square Distribution (Contd.), t-Distribution

Lecture 48: F-Distribution

Lecture 49 : Descriptive Statistics - I

Lecture 50 : Descriptive Statistics - II

Lecture 51 : Descriptive Statistics - III

Lecture 52 : Descriptive Statistics - IV

Lecture 53: Introduction to Estimation

Lecture 54 : Unbiased and Consistent Estimators

Lecture 55 : LSE, MME

Lecture 56 : Examples on MME, MLE

Lecture 57 : Examples on MLE - I

Lecture 58 : Examples on MLE - II, MSE

Lecture 59 : UMVUE, Sufficiency, Completeness

Lecture 60 : Rao - Blackwell Theorem and Its Applications

Lecture 61 : Confidence Intervals - I

Lecture 62 : Confidence Intervals - II

Lecture 63 : Confidence Intervals - III

Lecture 64 : Confidence Intervals - IV

Lecture 65 : Basic Definitions

Lecture 66: Two Types of Errors

Lecture 67: Neyman-Pearson Fundamental Lemma

Lecture 68: Applications of N-P Lemma - I

Lecture 69: Applications of N-P Lemma - II

Lecture 70 : Testing for Normal Mean

Lecture 71 : Testing for Normal Variance

Lecture 72 : Large Sample Test for Variance and Two Sample Problem

Lecture 73 : Paired t-Test

Lecture 74 : Examples

Lecture 75 : Testing Equality of Proportions

Lecture 76 : Chi-Square Test for Goodness Fit - I

Lecture 77 : Chi-Square Test for Goodnness Fit - II

Lecture 78 : Testing for Independence in rxc Contingency Table - I

Lecture 79 : Testing for Independence in rxc Contingency Table - II

Live Session 27-08-2021

Live Session 01-10-2021

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Meet Your Instructor

Somesh Kumar

Instructor

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About Instructor

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.

video

Free

Course Duration

38 h 28 m 57 s
Course Level

Intermediate
Student Enrolled

22
Language

English

This Course Includes

38 h 28 m 57 s Video Lectures
0 Quizzes
0 Assignments
0 Downloadable Resources
Full Lifetime Access
Certificate of Completion