sparse-plex
About Sparse-Plex
Getting Started
Demos
Sparse Signal Models
Compressive Sensing
Data Analysis
Data Clustering
Pursuit Algorithms
Subspace Clustering
Dictionary Learning
Set Theory
Linear Algebra
Matrix Algebra
Real Analysis
Convex Analysis
Probability and Random Variables
Random Variables
Gaussian distribution
Basic inequalities
Two variables
Expectation
Complex random variable
Random vectors
Gaussian random vector
Geometry
Numerical Optimization
Digital Signal Processing
Wavelets
Detection, Classification and Estimation
ECG
Computational Complexity
Library Classes
Exercises
Scripts
References
Index
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Probability and Random Variables
Probability and Random Variables
¶
Random Variables
Cumulative distribution function
Probability density function
Expectation
Characteristic function
Moment generating function
Second characteristic function
Cumulant generating function
Gaussian distribution
Standard normal distribution
Error function and its properties
One sided Gaussian distribution
Truncated normal distribution
Basic inequalities
Markov’s inequality
Chebyshev’s inequality
Boole’s inequality
Fano’s inequality
Cramér–Rao inequality
Hoeffding’s inequality
Jensen’s inequality
Bernstein inequalities
Chernoff’s inequality
Fréchet inequalities
Two variables
Conditional density
Independent variables
Expectation
Independent variables
Uncorrelated variables
Complex random variable
Random vectors
Gaussian random vector
Whitening
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