This work provides some general theorems about unconditional and conditional weak convergence of Horvitz-Thompson empirical processes in the case of Poisson sampling designs. The theorems presented in this work are more general than previously published results. Their proofs are based on the symmetrization technique and on a contraction principle.

Pasquazzi, L. (2019). Weak convergence theory for Poisson sampling designs [Working paper].

Weak convergence theory for Poisson sampling designs

Pasquazzi, L
2019

Abstract

This work provides some general theorems about unconditional and conditional weak convergence of Horvitz-Thompson empirical processes in the case of Poisson sampling designs. The theorems presented in this work are more general than previously published results. Their proofs are based on the symmetrization technique and on a contraction principle.
Working paper
weak convergence; empirical process; Poisson sampling; Donsker class
English
2019
Pasquazzi, L. (2019). Weak convergence theory for Poisson sampling designs [Working paper].
open
File in questo prodotto:
File Dimensione Formato  
weak_convergence_theory_arXiv_11apr19_v2.pdf

accesso aperto

Tipologia di allegato: Submitted Version (Pre-print)
Dimensione 434.56 kB
Formato Adobe PDF
434.56 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/220643
Citazioni
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
Social impact