Expectations of Joint Distribution.

sid9221 · Apr 25, 2012

How would you work out E[XY] where X,Y are dependent variables in a Joint Distribution.

I know there is a relationship with the conditional distributions but I can't understand the logic behind it, hence am hoping someone here can give me directions to work out this expectation.(I don't just want a formulae, I want the idea behind it)

mathman · Apr 25, 2012

If you have the joint distribution, then E(XY) = integral of (xy multiplied by the joint density).

Expectations of Joint Distribution.

Discussion

Graduate Expected numbers of cards of a last color remaining

Graduate Probability puzzle

Undergrad The problem of points

Undergrad The countability paradox of computable numbers

Undergrad How does axiom of foundation prevent infinite sequence of elements?

Graduate Cannot understand this corollary on surreal numbers

High School Bunkbed Conjecture Debunked?

Insights Revisiting the Velocity-Time Function

Insights Remote Operated Gate Control System

Insights AI Enriched Problem Solving

Insights Thinking Outside The Box Versus Knowing What’s In The Box

Insights Why Entangled Photon-Polarization Qubits Violate Bell’s Inequality

Insights Quantum Entanglement is a Kinematic Fact, not a Dynamical Effect

Expectations of Joint Distribution.

Discussion

Similar threads

Undergrad Are There Any Theorems Relating Joint Distributions to Marginals?

Joint distribution of sequential variables

How to derive $P(PH)$ without using a joint distribution table?

Graduate For which joint distributions is a conditional expectation an additive

Joint distribution of a discrete random variable

Undergrad Sphere Probability: Understanding Joint Distribution

How to Determine the Joint Distribution of X+Y and X-Y?

Graduate Joint Distribution of Complicated Variables

Graduate Joint distribution function of z and |z|

Undergrad How Do You Calculate Mean and Median from a Joint Distribution Table?