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Master Complete Statistics For Computer Science – I

Course In Probability & Statistics Important For Machine Learning, Artificial Intelligence, Data Science, Neural Network
Instructor:
Shilank Singh
16,961 students enrolled
Random Variables
Discrete Random Variables and its Probability Mass Function
Continuous Random Variables and its Probability Density Function
Cumulative Distribution Function and its properties and application
Special Distribution
Two - Dimensional Random Variables
Marginal Probability Distribution
Conditional Probability Distribution
Independent Random Variables
Function of One Random Variable
One Function of Two Random Variables
Two Functions of Two Random Variables
Statistical Averages
Measures of Central Tendency (Mean, Median, Mode, Geometric Mean and Harmonic Mean)
Mathematical Expectations and Moments
Measures of Dispersion (Quartile Deviation, Mean Deviation, Standard Deviation and Variance)
Skewness and Kurtosis
Expected Values of Two-Dimensional Random Variables
Linear Correlation
Correlation Coefficient and its properties
Rank Correlation Coefficient
Linear Regression
Equations of the Lines of Regression
Standard Error of Estimate of Y on X and of X on Y
Characteristic Function and Moment Generating Function
Bounds on Probabilities

In today’s engineering curriculum, topics on probability and statistics play a major role, as the statistical methods are very helpful in analyzing the data and interpreting the results.

When an aspiring engineering student takes up a project or research work, statistical methods become very handy.

Hence, the use of a well-structured course on probability and statistics in the curriculum will help students understand the concept in depth, in addition to preparing for examinations such as for regular courses or entry-level exams for postgraduate courses.

In order to cater the needs of the engineering students, content of this course, are well designed. In this course, all the sections are well organized and presented in an order as the contents progress from basics to higher level of statistics.

As a result, this course is, in fact, student friendly, as I have tried to explain all the concepts with suitable examples before solving problems.

This 150+ lecture course includes video explanations of everything from Random Variables, Probability Distribution, Statistical Averages, Correlation, Regression, Characteristic Function, Moment Generating Function and Bounds on Probability, and it includes more than 90+ examples (with detailed solutions) to help you test your understanding along the way. “Master Complete Statistics For Computer Science – I” is organized into the following sections:

  • Introduction

  • Discrete Random Variables

  • Continuous Random Variables

  • Cumulative Distribution Function

  • Special Distribution

  • Two – Dimensional Random Variables

  • Random Vectors

  • Function of One Random Variable

  • One Function of Two Random Variables

  • Two Functions of Two Random Variables

  • Measures of Central Tendency

  • Mathematical Expectations and Moments

  • Measures of Dispersion

  • Skewness and Kurtosis

  • Statistical Averages – Solved Examples

  • Expected Values of a Two-Dimensional Random Variables

  • Linear Correlation

  • Correlation Coefficient

  • Properties of Correlation Coefficient

  • Rank Correlation Coefficient

  • Linear Regression

  • Equations of the Lines of Regression

  • Standard Error of Estimate of Y on X and of X on Y

  • Characteristic Function and Moment Generating Function

  • Bounds on Probabilities

Introduction

1
Master Complete Statistics For Computer Science - I
2
Course Structure and Curriculum
3
Random Variables Definition

Discrete Random Variables

1
Discrete Random Variables - Concept
2
Discrete Random Variables - Solved Example 1 and 2
3
Discrete Random Variables - Solved Example 3
4
Discrete Random Variables - Solved Example 4
5
Discrete Random Variables - Solved Example 5

Continuous Random Variables

1
Continuous Random Variables - Concept
2
Continuous Random Variables - Solved Example 1 and 2
3
Continuous Random Variables - Solved Example 3
4
Continuous Random Variables - Solved Example 4
5
Continuous Random Variables - Solved Example 5
6
Continuous Random Variables - Solved Example 6
7
Continuous Random Variables - Solved Example 7
8
Continuous Random Variables - Solved Example 8

Cumulative Distribution Function

1
Cumulative Distribution Function - Concept
2
Cumulative Distribution Function - Solved Example 1
3
Cumulative Distribution Function - Solved Example 2
4
Cumulative Distribution Function - Solved Example 3
5
Cumulative Distribution Function - Solved Example 4
6
Cumulative Distribution Function - Solved Example 5
7
Cumulative Distribution Function - Solved Example 6

Special Distribution

1
Special Discrete Distribution
2
Special Continuous Distribution
3
Special Distribution - Solved Example 1
4
Special Distribution - Solved Example 2

Two - Dimensional Random Variables

1
Two - Dimensional Random Variables - Concept
2
Cumulative Distribution Function - Concept
3
Marginal Probability Distribution - Concept
4
Conditional Probability Distribution - Concept
5
Two - Dimensional Random Variables - Solved Example 1
6
Two - Dimensional Random Variables - Solved Example 2
7
Two - Dimensional Random Variables - Solved Example 3
8
Two - Dimensional Random Variables - Solved Example 4
9
Two - Dimensional Random Variables - Solved Example 5
10
Two - Dimensional Random Variables - Solved Example 6
11
Two - Dimensional Random Variables - Solved Example 7
12
Two - Dimensional Random Variables - Solved Example 8
13
Two - Dimensional Random Variables - Solved Example 9
14
Two - Dimensional Random Variables - Solved Example 10
15
Two - Dimensional Random Variables - Solved Example 11

Random Vectors

1
Random Vectors - Concept

Function of One Random Variable

1
Function of One Random Variable - Concept
2
Function of One Random Variable - Solved Example 1 and 2
3
Function of One Random Variable - Solved Example 3
4
Function of One Random Variable - Solved Example 4 and 5
5
Function of One Random Variable - Solved Example 6
6
Function of One Random Variable - Solved Example 7
7
Function of One Random Variable - Solved Example 8 and 9
8
Function of One Random Variable - Solved Example 10
9
Function of One Random Variable - Solved Example 11
10
Function of One Random Variable - Solved Example 12
11
Function of One Random Variable - Solved Example 13
12
Function of One Random Variable - Solved Example 14

One Function of Two Random Variables

1
One Function of Two Random Variables - Result 1, Solved Example 1
2
One Function of Two Random Variables - Result 1, Solved Example 2
3
One Function of Two Random Variables - Result 1, Solved Example 3
4
One Function of Two Random Variables - Result 2, Solved Example 1
5
One Function of Two Random Variables - Result 3, Solved Example 1

Two Functions of Two Random Variables

1
Two Functions of Two Random Variables - Concept, Solved Example 1
2
Two Functions of Two Random Variables - Solved Example 2
3
Two Functions of Two Random Variables - Solved Example 3
4
Two Functions of Two Random Variables - Solved Example 4
5
Two Functions of Two Random Variables - Solved Example 5
6
Two Functions of Two Random Variables - Solved Example 6

Measures of Central Tendency

1
Measures of Central Tendency - Concept
2
Measures of Central Tendency - Solved Example 1

Mathematical Expectations and Moments

1
Mathematical Expectations and Moments - Concept
2
Relation Between Central and Non-Central Moments - Concept

Measures of Dispersion

1
Measures of Dispersion (Quartile Deviation) - Concept
2
Measures of Dispersion (Quartile Deviation) - Solved Example 1
3
Measures of Dispersion (Mean Deviation) - Concept
4
Measures of Dispersion (Standard Deviation and Variance) - Concept
5
Measures of Dispersion (Standard Deviation and Variance) - Solved Example 1 & 2
6
Measures of Dispersion (Standard Deviation and Variance) - Solved Example 3
7
Measures of Dispersion (Standard Deviation and Variance) - Solved Example 4
8
Measures of Dispersion (Standard Deviation and Variance) - Solved Example 5
9
Measures of Dispersion (Standard Deviation and Variance) - Solved Example 6
10
Measures of Dispersion (Standard Deviation and Variance) - Solved Example 7
11
Measures of Dispersion (Standard Deviation and Variance) - Solved Example 8 & 9

Skewness and Kurtosis

1
Skewness - Concept
2
Skewness - Solved Example 1
3
Kurtosis - Concept
4
Kurtosis - Solved Example 1

Statistical Averages - Solved Examples

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