Asymptotic Expansions

Abstract

Assume that the random variables X ₁, ... , X _n with values in the measurable space (X, X) are given on the probability space {Ω, F, P}, and ŋ _n = ŋ(X ₁, ... , X _n ), where ŋ is a mapping ŋ: X ⁿ →R, and the weak convergence

$${\eta _n}\xrightarrow{d}{\eta _\infty }$$

(7.1.1)

takes place.