Please use this identifier to cite or link to this item:
http://hdl.handle.net/1942/27696
Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | BERCKMOES, Ben | - |
dc.contributor.author | MOLENBERGHS, Geert | - |
dc.date.accessioned | 2019-02-11T11:08:38Z | - |
dc.date.available | 2019-02-11T11:08:38Z | - |
dc.date.issued | 2018 | - |
dc.identifier.citation | JOURNAL OF THEORETICAL PROBABILITY, 31(3), p. 1590-1605 | - |
dc.identifier.issn | 0894-9840 | - |
dc.identifier.uri | http://hdl.handle.net/1942/27696 | - |
dc.description.abstract | We refine the classical Lindeberg-Feller central limit theorem by obtaining asymptotic bounds on the Kolmogorov distance, the Wasserstein distance, and the parameterized Prokhorov distances in terms of a Lindeberg index. We thus obtain more general approximate central limit theorems, which roughly state that the row-wise sums of a triangular array are approximately asymptotically normal if the array approximately satisfies Lindeberg's condition. This allows us to continue to provide information in nonstandard settings in which the classical central limit theorem fails to hold. Stein's method plays a key role in the development of this theory. | - |
dc.description.sponsorship | Ben Berckmoes is postdoctoral fellow at the Fund for Scientific Research of Flanders (FWO). Geert Molenberghs gratefully acknowledges financial support from the IAP research network # P7/06 of the Belgian Government (Belgian Science Policy). | - |
dc.language.iso | en | - |
dc.publisher | SPRINGER/PLENUM PUBLISHERS | - |
dc.subject.other | Kolmogorov metric; Lindeberg-Feller central limit theorem; Lindeberg index; Prokhorov metric; Stein's method; Wasserstein metric | - |
dc.subject.other | Kolmogorov metric; Lindeberg–Feller central limit theorem; Lindeberg index; Prokhorov metric; Stein’s method; Wasserstein metric | - |
dc.title | Approximate Central Limit Theorems | - |
dc.type | Journal Contribution | - |
dc.identifier.epage | 1605 | - |
dc.identifier.issue | 3 | - |
dc.identifier.spage | 1590 | - |
dc.identifier.volume | 31 | - |
local.format.pages | 16 | - |
local.bibliographicCitation.jcat | A1 | - |
dc.description.notes | [Berckmoes, Ben] Univ Antwerp, Antwerp, Belgium. [Molenberghs, Geert] Univ Hasselt, Hasselt, Belgium. [Molenberghs, Geert] Katholieke Univ Leuven, Leuven, Belgium. | - |
local.publisher.place | NEW YORK | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
dc.identifier.doi | 10.1007/s10959-017-0744-6 | - |
dc.identifier.isi | 000441304800012 | - |
item.fullcitation | BERCKMOES, Ben & MOLENBERGHS, Geert (2018) Approximate Central Limit Theorems. In: JOURNAL OF THEORETICAL PROBABILITY, 31(3), p. 1590-1605. | - |
item.fulltext | With Fulltext | - |
item.validation | ecoom 2019 | - |
item.contributor | BERCKMOES, Ben | - |
item.contributor | MOLENBERGHS, Geert | - |
item.accessRights | Open Access | - |
crisitem.journal.issn | 0894-9840 | - |
crisitem.journal.eissn | 1572-9230 | - |
Appears in Collections: | Research publications |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
berckmoes 1.pdf Restricted Access | Published version | 456.33 kB | Adobe PDF | View/Open Request a copy |
506.pdf | Peer-reviewed author version | 3.09 MB | Adobe PDF | View/Open |
SCOPUSTM
Citations
2
checked on Sep 7, 2020
WEB OF SCIENCETM
Citations
2
checked on Sep 28, 2024
Page view(s)
70
checked on Sep 6, 2022
Download(s)
104
checked on Sep 6, 2022
Google ScholarTM
Check
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.