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**Thanh****Guest**

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,

Thanh

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

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

**igloo** **myrtilles** **fourmis**

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