Re: Discrete parameters
From GILLESPIEW@cder.fda.gov Wed Nov 27 15:15:39 1996
Subject: Re: Discrete parameters
Mark,
I presume you would limit your search for n to a finite range. That being the case, you could always do it by brute force, i.e., optimize for all possible values of n. (Yeah, I know you already thought of that one.) Another alternative that would allow partial automation of the problem might be to do an initial fit using a continuous analog for the factorial, e.g., the gamma function or a series approximation of it. Then you could probably limit your discrete search of n to 2 values---the integers immediately greater than and less than the real value obtained with the continuous search.
When I wrote the above I assumed you were using the same value of n for all individuals. If you're actually planning to allow n to vary among the individuals and estimate its distribution, then I don't have any great ideas. I suppose the second approach could be used in a relatively crude way.
Best Regards,
Bill
-------------------------------------
Bill Gillespie
Office of Clinical Pharmacology and Biopharmaceutics
Food and Drug Administration
5600 Fishers Lane (HFD-855)
Rockville, MD 20857
1-301-443-1640 / Fax: 1-301-480-6645
gillespiew@cder.fda.gov