Local Central Limit Theorems , the High-order Correlations of Rejective Sampling and Logistic Likelihood Asymptotics

@inproceedings{Arratia2005LocalCL,
  title={Local Central Limit Theorems , the High-order Correlations of Rejective Sampling and Logistic Likelihood Asymptotics},
  author={Richard Arratia and Larry Goldstein and Bryan Langholz},
  year={2005}
}
Let I1, . . . , In be independent but not necessarily identically distributed Bernoulli random variables, and let Xn = ∑nj=1 Ij . For ν in a bounded region, a local central limit theorem expansion of P(Xn = EXn + ν) is developed to any given degree. By conditioning, this expansion provides information on the high-order correlation structure of dependent… CONTINUE READING