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
Discrete Random Variables
Continuous Random Variables
Cumulative Distribution Function
-
9Continuous Random Variables - Concept
-
10Continuous Random Variables - Solved Example 1 and 2
-
11Continuous Random Variables - Solved Example 3
-
12Continuous Random Variables - Solved Example 4
-
13Continuous Random Variables - Solved Example 5
-
14Continuous Random Variables - Solved Example 6
-
15Continuous Random Variables - Solved Example 7
-
16Continuous Random Variables - Solved Example 8
Special Distribution
-
17Cumulative Distribution Function - Concept
-
18Cumulative Distribution Function - Solved Example 1
-
19Cumulative Distribution Function - Solved Example 2
-
20Cumulative Distribution Function - Solved Example 3
-
21Cumulative Distribution Function - Solved Example 4
-
22Cumulative Distribution Function - Solved Example 5
-
23Cumulative Distribution Function - Solved Example 6
Two - Dimensional Random Variables
Random Vectors
-
28Two - Dimensional Random Variables - Concept
-
29Cumulative Distribution Function - Concept
-
30Marginal Probability Distribution - Concept
-
31Conditional Probability Distribution - Concept
-
32Two - Dimensional Random Variables - Solved Example 1
-
33Two - Dimensional Random Variables - Solved Example 2
-
34Two - Dimensional Random Variables - Solved Example 3
-
35Two - Dimensional Random Variables - Solved Example 4
-
36Two - Dimensional Random Variables - Solved Example 5
-
37Two - Dimensional Random Variables - Solved Example 6
-
38Two - Dimensional Random Variables - Solved Example 7
-
39Two - Dimensional Random Variables - Solved Example 8
-
40Two - Dimensional Random Variables - Solved Example 9
-
41Two - Dimensional Random Variables - Solved Example 10
-
42Two - Dimensional Random Variables - Solved Example 11
Function of One Random Variable
One Function of Two Random Variables
-
44Function of One Random Variable - Concept
-
45Function of One Random Variable - Solved Example 1 and 2
-
46Function of One Random Variable - Solved Example 3
-
47Function of One Random Variable - Solved Example 4 and 5
-
48Function of One Random Variable - Solved Example 6
-
49Function of One Random Variable - Solved Example 7
-
50Function of One Random Variable - Solved Example 8 and 9
-
51Function of One Random Variable - Solved Example 10
-
52Function of One Random Variable - Solved Example 11
-
53Function of One Random Variable - Solved Example 12
-
54Function of One Random Variable - Solved Example 13
-
55Function of One Random Variable - Solved Example 14
Two Functions of Two Random Variables
-
56One Function of Two Random Variables - Result 1, Solved Example 1
-
57One Function of Two Random Variables - Result 1, Solved Example 2
-
58One Function of Two Random Variables - Result 1, Solved Example 3
-
59One Function of Two Random Variables - Result 2, Solved Example 1
-
60One Function of Two Random Variables - Result 3, Solved Example 1
Measures of Central Tendency
-
61Two Functions of Two Random Variables - Concept, Solved Example 1
-
62Two Functions of Two Random Variables - Solved Example 2
-
63Two Functions of Two Random Variables - Solved Example 3
-
64Two Functions of Two Random Variables - Solved Example 4
-
65Two Functions of Two Random Variables - Solved Example 5
-
66Two Functions of Two Random Variables - Solved Example 6
Mathematical Expectations and Moments
Measures of Dispersion
Skewness and Kurtosis
-
71Measures of Dispersion (Quartile Deviation) - Concept
-
72Measures of Dispersion (Quartile Deviation) - Solved Example 1
-
73Measures of Dispersion (Mean Deviation) - Concept
-
74Measures of Dispersion (Standard Deviation and Variance) - Concept
-
75Measures of Dispersion (Standard Deviation and Variance) - Solved Example 1 & 2
-
76Measures of Dispersion (Standard Deviation and Variance) - Solved Example 3
-
77Measures of Dispersion (Standard Deviation and Variance) - Solved Example 4
-
78Measures of Dispersion (Standard Deviation and Variance) - Solved Example 5
-
79Measures of Dispersion (Standard Deviation and Variance) - Solved Example 6
-
80Measures of Dispersion (Standard Deviation and Variance) - Solved Example 7
-
81Measures of Dispersion (Standard Deviation and Variance) - Solved Example 8 & 9