denotes the joint probability distribution of two continuous random variables X and Y.
I had to miss class today due to another engagement and in learning what I missed on Bivariate Probability Distributions I've come across this notation.
Is this another notation for a function of two variables or does it denote partial derivatives?
?
or
?
Or something else?
Thanks for the clarification!
Kasper
These are not partial derivatives.
We use the subscripts since one bivariate density generates 4 more densities, the two marginals and the two conditionals.
Thus, there are five densities and we use f for all five.
The subscripts "differentiates" an excellent pun, which density is which.
BUT there is no differentiation here at all.
NOW, f is the derivative of F, the cdf........