random variables - northeastern university
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RANDOM VARIABLESSHORT REVIEW
CS6140
Predrag RadivojacKHOURY COLLEGE OF COMPUTER SCIENCES
NORTHEASTERN UNIVERSITY
Spring 2021
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RANDOM VARIABLES
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EXAMPLE: RANDOM VARIABLES
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EXAMPLE: RANDOM VARIABLES
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RANDOM VARIABLE: FORMAL DEFINITION
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DISCRETE RANDOM VARIABLE
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EXERCISE: QUANTIZATION
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CONTINUOUS RANDOM VARIABLE
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CONTINUOUS RANDOM VARIABLE
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JOINT AND MARGINAL DISTRIBUTIONS
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EXERCISE: JOINT DISTRIBUTIONS
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JOINT AND MARGINAL DISTRIBUTIONS
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CONDITIONAL DISTRIBUTIONS
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CHAIN RULE
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INDEPENDENCE OF RANDOM VARIABLES
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EXPECTATIONS
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WELL-KNOWN EXPECTATIONS
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CONDITIONAL EXPECTATIONS
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EXERCISE: EXPECTATIONS
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EXPECTATIONS FOR TWO VARIABLES
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WELL-KNOWN EXPECTATIONS
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MIXTURES OF DISTRIBUTIONS
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MIXTURES OF GAUSSIANS
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GRAPHICAL REPRESENTATIONS
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GRAPHICAL REPRESENTATIONS
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GRAPHICAL REPRESENTATIONS