[R] Sampling with replacement

[Jim Lemon]

On 06/17/2010 03:27 AM, Somnath Somnath wrote:
> Thanks for all those reply. Is there any general rule to determine how many
> samples I would get from a population of size "n", I draw a sample of size
> "m" ("m" may be greater than "n") if sample is drawn with replacement?
>
Hi Somnath,
If you mean "how many unique values", I think this is the "occupancy" 
problem that is discussed in:

Feller, W. (1950) An introduction to probability theory and its 
applications (Vol 1). New York: Wiley.

and probably other places. You can calculate the probability of 
obtaining each possible number of outcomes using the Maxwell-Botlzmann 
distribution.

Jim