Expansions of expectations, cumulants, and unbiased estimates

Abstract The remaining chapters of this book present applications of the core operators to various statistical methods involving cumulants or cumulant expansions. Expansions of cumulants may be computed using the operators of the previous two chapters. Matters are complicated by the fact that the expected values have expansions with differing powers of n. These. in tum, contribute to several different terms in the resulting expansion.