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A RV is called continuous if there exists nonnegative such that such an is called the Probability Density Function (pdf or df) of .
Log-Sum-Exp Trick
Continuous-time Gaussian process motion planning via probabilistic inference
Dirichlet Mixture Distribution
Optimal Bit Allocation
Differential Divergence
Differential Entropy
Discrete-Time Memoryless Gaussian Channel (AWGN Channel)
Typical Set
AEP For Continuous IID RVs
Consequence of the AEP
Gaussian Noise Minimizes Capacity of Additive-Noise Channel
Uniform Quantization of Real-Valued Source
High-Resolution Conditions
Lloyd-Max Algorithm
Bucklew and Wise
Optimal Compressor
High-Resolution Optimal Vector Quantizer
Expectation
Expectation of a Function of a Random Variable
Conditional Probability Density Function
Joint Probability Density Function
Marginal Probability Density Function
Probability Density Function
Exponential Random Variable
Gamma Random Variable
Gaussian Random Variable
Standard Normal Random Variable
Uniform Random Variable
Monte Carlo Method