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University of Illinois at Urbana-Champaign

Weak convergence and the prediction process

Abstract

dc:description

We first consider convergence in law of measurable processes with a general parameter set and a state space. To this end, we need to investigate topological properties of the space of measurable functions which is the paths space of measurable processes. Also a characterization of compact sets in the space is derived and some functionals on the space are discussed.

Degree

thesis:*
Name thesis:degree_name
Ph.D.
Level thesis:degree_level
Dissertation
Discipline thesis:degree_discipline
Statistics
Grantor
University of Illinois at Urbana-Champaign
Year dc:date
2011

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Tsukahara, Hideatsu
Contributors dc:contributor
  • Monrad, Ditlev

Subjects

dc:subject × 2

Rights

dc:rights
Statement dc:rights
  • Copyright 1996 Tsukahara, Hideatsu
Language dc:language
eng

Identifiers

dc:identifier.*
Identifier
9780591199499
AAI9712467
(UMI)AAI9712467
OAI identifier oai:identifier
oai:www.ideals.illinois.edu:2142/19372

Chain of custody

source
Harvested from
University of Illinois - Urbana-Champaign
Base URL
www.ideals.illinois.edu/oai-pmh
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
citation

Tsukahara, Hideatsu. Weak convergence and the prediction process. Dissertation thesis, University of Illinois at Urbana-Champaign, 2011. http://hdl.handle.net/2142/19372