Local Central Limit Theorems , the High Order Correlations of Rejective Sampling , and Applications to Conditional Logistic Likelihood Asymptotics ∗ †

Let I1, . . . , In be independent but not necessarily identically distributed Bernoulli random variables, and let Xn = ∑n j=1 Ij . For ν in a bounded region, a local central limit theorem expansion of PI (Xn = EI Xn + ν) is developed to any given degree. By conditioning, this expansion provides information on the high order correlation structure of… CONTINUE READING