Remainder term estimates in a conditional central limit theorem for integer-valued random variables
Malcolm P. Quine · Journal of the Australian Mathematical Society Series A Pure Mathematics and Statistics · 1985
Abstract A Berry-Esseen type result is given for the conditional distribution of a weighted sum of i.i.d. integer-valued r.v.'s given that their unweighted sum equals its expectation. The examples include the case of sampling without replacement from a finite population.