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Independence of random variables

Independence of random variables. Definition Random variables X and Y are independent if their joint distribution function factors into the product of their marginal distribution functions Theorem

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Continuous Random Variables

Continuous Random Variables. Continuous Random Variables. For discrete random variables, we required that Y was limited to a finite (or countably infinite) set of values. Now, for continuous random variables, we allow Y to take on any value in some interval of real numbers.

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Phase planes for linear systems with real eigenvalues

Phase planes for linear systems with real eigenvalues. SECTION 3.3. Summary. Suppose Y (t) = e ? t V is a straight-line solution to a system of DEs. What happens to Y (t) = (x(t), y(t)) as t ??? How does your answer depend on the sign of ??

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Suppose y - PowerPoint PPT Presentation

Independence of random variables

Continuous Random Variables

Phase planes for linear systems with real eigenvalues