Math Is Fun Forum
  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

You are not logged in.

#1 2005-09-11 08:52:17


Conditional independence

Dear all,

I'm doing my thesis and I have question that's quite confusing to figure out. I hope you would help me.

Suppose we have following random variables:

Y1 = X + N1;
Y2 = X + N2;
where X, N1, N2 are independent of each other.

Of course, Y1 and Y2 are dependent and, therefore, p(Y1Y2) # p(Y1)*p(Y2).
However, can I say Y1 and Y2 are conditionally independent given X, and write:

p(Y1Y2|X) = p(Y1|X)*p(Y2|X)  ???

Is that correct? could you give me a confirmation?

Thanks for reading and hope to hear your answer.

Best regards,

#2 2005-09-14 12:49:09

John E. Franklin
Registered: 2005-08-29
Posts: 3,585

Re: Conditional independence

I'm sorry no one is answering your question.  It's beyond anything I've ever learned.

igloo myrtilles fourmis


Board footer

Powered by FluxBB