What you'll learn
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
Requirements
Knowledge of Applied Probability
Knowledge of Calculus
Description
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:IntroductionDiscrete Random VariablesContinuous Random VariablesCumulative Distribution FunctionSpecial DistributionTwo - Dimensional Random VariablesRandom VectorsFunction of One Random VariableOne Function of Two Random VariablesTwo Functions of Two Random Variables Measures of Central TendencyMathematical Expectations and MomentsMeasures of DispersionSkewness and KurtosisStatistical Averages - Solved ExamplesExpected Values of a Two-Dimensional Random VariablesLinear CorrelationCorrelation CoefficientProperties of Correlation CoefficientRank Correlation CoefficientLinear RegressionEquations of the Lines of RegressionStandard Error of Estimate of Y on X and of X on YCharacteristic Function and Moment Generating FunctionBounds on Probabilities
Who this course is for
Current Probability and Statistics students,Students of Machine Learning, Artificial Intelligence, Data Science, Computer Science, Electrical Engineering , as Statistics is the prerequisite course to Machine Learning, Data Science, Computer Science and Electrical Engineering,Anyone who wants to study Statistics for fun after being away from school for a while.


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