Hello, I am searching for a way to generate random values from a multivariate 
mixture distribution. For starters, one could create a mixture distribution 
consisting of a gamma or normal distribution and then a tail/spike of values in 
a normal distribution (eg as in Figure 1, A Eyre-Walker, PD Keightley. 2007. 
The distribution of fitness effects of new mutations. Nature Review Genetics 8: 
610-618)
I am not certain how to implement this in the R environment. The implementation 
becomes even more difficult if one wants to generalize this distribution to 
multiple variables that are related to one another via some correlation 
structure. The analogous situation is a multivariate normal distribution with 
the shape given by the covariance matrix. 
What I need for my research program is to generate values for each of 3 random 
variables with ("one-dimensional") distributions as in Figure 1 and yet 
simultaneously choose a value for each variable so that the resolved values are 
correlated in some way (eg if a high value for variable 1 is chosen, it is 
likely that values 2 and 3 are low).
Thanks in advance for the help.
Patrick SoprovichBiology Department, Dalhousie University


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