We apply our recently developed distributional technique [2, 3] to study time-domain asymptotics. This enables us to present a rigorous mathematical discussion and extensions of the results given by Chapman [1] and subsequent workers in this field. The present analysis is facilitated by defining functions which are distributionally small at infinity. We find that one of the advantages of using this technique is that multidimensional extensions can be derived very easily. © 1998 B. G. Teubner Stuttgart-John Wiley & Sons Ltd
Chistyakov G, Götze F. Asymptotic expansions in the CLT in free probability. Probability Theory And ...
We call “asymptotic mean ” (at +∞) of a real-valued function [) ∈ ∞locf L T1,+ the number, supposed ...
AbstractIn recent papers, Johnson and Kotz (Amer. Statist.44, 245-249 (1990); Math. Sci.15, 42-52 (1...
Asymptotic expansions of Green functions and spectral densities associated with partial differential...
We give a theory of asymptotic expansions of thick distributions of rapid decay at infinity. We show...
AbstractSeries expansions of moments of order statistics are obtained from expansions of the inverse...
Series expansions of moments of order statistics are obtained from expansions of the inverse of the ...
Asymptotic expansions of Green functions and spectral densities associated with partial differential...
In this paper, we describe a tool to aid in proving theorems about random variables, called the mome...
The asymptotic analysis has obtained new impulses with the general development of various branches o...
We present the Taylor asymptotic expansion of a perturbed distribution of the form (Formula Presente...
Abstract: An asymptotic expansion for inverse moments of positive binomial and Poisson distributions...
Modulo the moment asymptotic expansion, the Cesàro and parametric behaviours of distributions at inf...
A semi-Markovian random walk process (X(t)) with a generalized beta distribution of chance is consid...
Let F be a strongly non-lattice distribution function with a positive mean, a positive variance, and...
Chistyakov G, Götze F. Asymptotic expansions in the CLT in free probability. Probability Theory And ...
We call “asymptotic mean ” (at +∞) of a real-valued function [) ∈ ∞locf L T1,+ the number, supposed ...
AbstractIn recent papers, Johnson and Kotz (Amer. Statist.44, 245-249 (1990); Math. Sci.15, 42-52 (1...
Asymptotic expansions of Green functions and spectral densities associated with partial differential...
We give a theory of asymptotic expansions of thick distributions of rapid decay at infinity. We show...
AbstractSeries expansions of moments of order statistics are obtained from expansions of the inverse...
Series expansions of moments of order statistics are obtained from expansions of the inverse of the ...
Asymptotic expansions of Green functions and spectral densities associated with partial differential...
In this paper, we describe a tool to aid in proving theorems about random variables, called the mome...
The asymptotic analysis has obtained new impulses with the general development of various branches o...
We present the Taylor asymptotic expansion of a perturbed distribution of the form (Formula Presente...
Abstract: An asymptotic expansion for inverse moments of positive binomial and Poisson distributions...
Modulo the moment asymptotic expansion, the Cesàro and parametric behaviours of distributions at inf...
A semi-Markovian random walk process (X(t)) with a generalized beta distribution of chance is consid...
Let F be a strongly non-lattice distribution function with a positive mean, a positive variance, and...
Chistyakov G, Götze F. Asymptotic expansions in the CLT in free probability. Probability Theory And ...
We call “asymptotic mean ” (at +∞) of a real-valued function [) ∈ ∞locf L T1,+ the number, supposed ...
AbstractIn recent papers, Johnson and Kotz (Amer. Statist.44, 245-249 (1990); Math. Sci.15, 42-52 (1...