R help - Feb 2008 - [OT?] Question on bootstrapping

Dear list,

This is off-topic, but perhaps there is an expert out there who can help 
me in
a bootstrapping test.

I have two samples A, B from, say, a normal distribution. A third sample R
is the vector of pairwise minima of  the same random variables:

A = rnorm(100)
B = rnorm(100)

A2 = rnorm(100)
B2 = rnorm(100)
R = pmin(A2, B2)

For some purposes, I want to do some bootstrapping. From A and B, this
should not be a problem:

sa = sample(A, replace=T)
sb = sample(B, replace=T)

But for the minima distribution, I have the "feeling" (sorry) that the
bootstrapped
values are systematically too high:

a2 = sample(A, replace=T)
b2 = sample(B, replace=T)
sr = pmin(a2, b2)

Can anybody give me a hint whether my feeling is correct, and perhaps 
indicate
some literature in which such issues are handled?

Best wishes,

Matthias

(little correction below)
> Dear list,
>
> This is off-topic, but perhaps there is an expert out there who can help 
> me in
> a bootstrapping test.
>
> I have two samples A, B from, say, a normal distribution. A third sample R
> is the vector of pairwise minima of  the same random variables:
>
> A = rnorm(100)
> B = rnorm(100)
>
> A2 = rnorm(100)
> B2 = rnorm(100)
> R = pmin(A2, B2)
>
> For some purposes, I want to do some bootstrapping. From A and B, this
> should not be a problem:
>
> sa = sample(A, replace=T)
> sb = sample(B, replace=T)
>
> But for the minima distribution, I have the "feeling" (sorry)
that the
> bootstrapped
> values are systematically too high:
>   
too high = compared to the random variable R, as defined above
> a2 = sample(A, replace=T)
> b2 = sample(B, replace=T)
> sr = pmin(a2, b2)
>
> Can anybody give me a hint whether my feeling is correct, and perhaps 
> indicate
> some literature in which such issues are handled?
>
> Best wishes,
>
> Matthias
>
>