Functional central limit theorems for conditional Poisson sampling

05/02/2019
by   Leo Pasquazzi, et al.
0

This paper provides refined versions of some known functional central limit theorems for conditional Poisson sampling which are more suitable for applications. The theorems presented in this paper are generalizations of some results that have recently been published by Bertail, Chautru and Clémençon (2017). The asymptotic equicontinuity part of the proofs presented in this paper is based on the same idea as in Bertail, Chautru and Clémençon (2017) but some of the missing details are provided.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
02/25/2019

Weak convergence theory for Poisson sampling designs

This work provides some general theorems about unconditional and conditi...
research
05/30/2019

Complex sampling designs: uniform limit theorems and applications

In this paper, we develop a general approach to proving global and local...
research
03/24/2020

A universal approach to estimate the conditional variance in semimartingale limit theorems

The typical central limit theorems in high-frequency asymptotics for sem...
research
06/27/2019

Harnessing Fluctuations in Thermodynamic Computing via Time-Reversal Symmetries

We experimentally demonstrate that highly structured distributions of wo...
research
06/09/2023

Central Limit Theorems and Approximation Theory: Part I

Central limit theorems (CLTs) have a long history in probability and sta...
research
03/05/2020

Central limit theorems for additive functionals and fringe trees in tries

We give general theorems on asymptotic normality for additive functional...
research
03/30/2020

Functional central limit theorems for persistent Betti numbers on cylindrical networks

We study functional central limit theorems (FCLTs) for persistent Betti ...

Please sign up or login with your details

Forgot password? Click here to reset