Full conditionals: Let X, Y , Z be random variables with joint density (disrete or continuous) p(x, y, z ) ∝ f (x, z )g(y, z )h(z ). Show that

a) p(x |y, z ) ∝ f (x, z ), i.e. p(x|y, z ) is a function of x and z ;

b) p(y |x, z ) ∝ g(y, z ), i.e. p(y|x, z ) is a function of y and z ;

c) X and Y are conditionally independent given Z .

I DON'T REALLY EVEN KNOW HOW TO START THIS PROBLEM. PLEASE HELP!

a) p(x |y, z ) ∝ f (x, z ), i.e. p(x|y, z ) is a function of x and z ;

b) p(y |x, z ) ∝ g(y, z ), i.e. p(y|x, z ) is a function of y and z ;

c) X and Y are conditionally independent given Z .

I DON'T REALLY EVEN KNOW HOW TO START THIS PROBLEM. PLEASE HELP!

## This question was asked on Jan 27, 2013.

### Recently Asked Questions

- Hannibal Lecter, an infamous serial killer, is attempting to use H2O2 to remove pesky blood stains of his latest victim from his 100% cashmere scarf and for

- Which is not a barrier to solving the free rider problem in the provision of public goods? (a) Some individuals may voluntarily choose to pay for a public

- Please refer to the attachment to answer this question. This question was created from test yourself 1.docx.