"Helen" <[EMAIL PROTECTED]> wrote in message
news:amdk8r$9j8$[EMAIL PROTECTED]...
> Hi there
>
> I have two random vector X (X1,X2,...,Xn) and Y (Y1,Y2,...,Yn)
> I know there are correlated, now I have already known pdf of X,
> what kind of ways could I get the pdf of Y?
> And to access this aim, what kind of other information( maybe
> covariance matrix etc.) should I know?
> I am now building a model for my research, so I wanna get some clue
> about that.
>
> Thanks a lot!
>
>

For fairly narrow bands of X-values, I would like to look at histograms of
the corresponding Y-values.   You may find that, say, the means and std.
deviations both increase roughly linearly with the mean of the X-values.
You may find that the shape of the histogram may look roughly the same for
each group, but just moved.

The most comprehensive book I know on bivariate distributions is:
Hutchinson, T.P. and Lai, C.D. (1991) `The Engineering Statistician's Guide
to Continuous Bivariate Distributions', published by Rumsby Scientific
Publishing.
ISBN 0 646 02413 2
Chapter 15 `How to understand bivariate data' attempts to answer questions
such as yours.
The book is highly mathematical, and much of it is devoted to cataloging a
large number of bivariate distributions.

Cheers

--
Alan Miller
http://users.bigpond.net.au/amiller
Retired Statistician



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