Bujok, Karolina; Hambly, Ben; Reisinger, Christoph - arXiv.org - 2012
We consider $N$ Bernoulli random variables, which are independent conditional on a common random factor determining their probability distribution. We show that certain expected functionals of the proportion $L_N$ of variables in a given state converge at rate 1/N as $N\rightarrow \infty$. Based...