[R] How to generate normal mixture random variables with given covariance function

[Giovanni Petris]

On Fri, 2011-04-22 at 09:59 -0400, Chee Chen wrote:
> Dear All,
> Suppose Z_i, i=1,...,m are marginally identically distributed as a two
> normal mixture p0*N(0,1) + (1-p0) *N( miu_i, 1) where miu_i are
> identically distributed according to a mixture and I have  generated
> Z_i one by one . 
> 
> Now suppose these m random variables are jointly m-dimensional normal

This is not related to R, so you should probably ask the question
somewhere else. The short answer is that the Z_i cannot be jointly
Normally distributed, since they are not marginally Normally
distributed.

Giovanni Petris

>  with correlation matrix M= (m_ij).
> How to proceed next or how to start correctly ? 
> 
> Question:  
> 1.  Are Z_i, i=1,...,m I have generated jointly normal?
> 2.   How to get them such that they are jointly normal with M
> 
> Thank you,
> -Chee
> 	[[alternative HTML version deleted]]
> 
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-- 

Giovanni Petris  <GPetris at uark.edu>
Associate Professor
Department of Mathematical Sciences
University of Arkansas - Fayetteville, AR 72701
Ph: (479) 575-6324, 575-8630 (fax)
http://definetti.uark.edu/~gpetris/