2011Unpublished venueRequires access

Part 6: Further Topics in Random Variables

Harry Schwarzlander

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Abstract

This chapter contains sections titled: Introduction Complex Random Variables The Characteristic Function Characteristic Function of a Transformed Random Variable Characteristic Function of a Multidimensional Random Variable The Generating Function Several Jointly Gaussian Random Variables Spherically Symmetric Vector Random Variables Entropy Associated with Random Variables Copulas Sequences of Random Variables Convergent Sequences and Laws of Large Numbers Convergence of Probability Distributions and the Central Limit Theorem Summary

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This chapter contains sections titled: Introduction Complex Random Variables The Characteristic Function Characteristic Function of a Transformed Random Variable Characteristic Function of a Multidimensional Random Variable The Generating Function Several Jointly Gaussian Random Variables Spherically Symmetric Vector Random Variables Entropy Associated with Random Variables Copulas Sequences of Random Variables Convergent Sequences and Laws of Large Numbers Convergence of Probability Distributions and the Central Limit Theorem Summary

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Available abstract

This chapter contains sections titled: Introduction Complex Random Variables The Characteristic Function Characteristic Function of a Transformed Random Variable Characteristic Function of a Multidimensional Random Variable The Generating Function Several Jointly Gaussian Random Variables Spherically Symmetric Vector Random Variables Entropy Associated with Random Variables Copulas Sequences of Random Variables Convergent Sequences and Laws of Large Numbers Convergence of Probability Distributions and the Central Limit Theorem Summary

Key concepts: Multivariate random variable, Sum of normally distributed random variables, Convergence of random variables, Mathematics, Random variable, Central limit theorem, Random function, Random element

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