Standard

Absolute continuity and local limit theorems for homogeneous functionals of point processes. / Davydov, Youri; Kaim, Michaël.

в: Lithuanian Mathematical Journal, Том 59, № 4, 2019, стр. 498-506.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Davydov, Y & Kaim, M 2019, 'Absolute continuity and local limit theorems for homogeneous functionals of point processes', Lithuanian Mathematical Journal, Том. 59, № 4, стр. 498-506. https://doi.org/10.1007/s10986-019-09460-x

APA

Davydov, Y., & Kaim, M. (2019). Absolute continuity and local limit theorems for homogeneous functionals of point processes. Lithuanian Mathematical Journal, 59(4), 498-506. https://doi.org/10.1007/s10986-019-09460-x

Vancouver

Davydov Y, Kaim M. Absolute continuity and local limit theorems for homogeneous functionals of point processes. Lithuanian Mathematical Journal. 2019;59(4):498-506. https://doi.org/10.1007/s10986-019-09460-x

Author

Davydov, Youri ; Kaim, Michaël. / Absolute continuity and local limit theorems for homogeneous functionals of point processes. в: Lithuanian Mathematical Journal. 2019 ; Том 59, № 4. стр. 498-506.

BibTeX

@article{4413948df4eb44b0a7dede60dd9f867c,
title = "Absolute continuity and local limit theorems for homogeneous functionals of point processes",
abstract = "We study the absolute continuity and local limit theorems for homogeneous functionals defined on configurations of point processes (p.p.s). For empirical p.p.s, we show that under mild hypotheses the distribution of such a functional has a density. Moreover, we present results on convergence in total variation of this distribution to some limit.",
keywords = "absolute continuity, convergence in total variation, empirical point processes, local limit theorems",
author = "Youri Davydov and Micha{\"e}l Kaim",
year = "2019",
doi = "10.1007/s10986-019-09460-x",
language = "English",
volume = "59",
pages = "498--506",
journal = "Lithuanian Mathematical Journal",
issn = "0363-1672",
publisher = "Springer Nature",
number = "4",

}

RIS

TY - JOUR

T1 - Absolute continuity and local limit theorems for homogeneous functionals of point processes

AU - Davydov, Youri

AU - Kaim, Michaël

PY - 2019

Y1 - 2019

N2 - We study the absolute continuity and local limit theorems for homogeneous functionals defined on configurations of point processes (p.p.s). For empirical p.p.s, we show that under mild hypotheses the distribution of such a functional has a density. Moreover, we present results on convergence in total variation of this distribution to some limit.

AB - We study the absolute continuity and local limit theorems for homogeneous functionals defined on configurations of point processes (p.p.s). For empirical p.p.s, we show that under mild hypotheses the distribution of such a functional has a density. Moreover, we present results on convergence in total variation of this distribution to some limit.

KW - absolute continuity

KW - convergence in total variation

KW - empirical point processes

KW - local limit theorems

UR - http://www.scopus.com/inward/record.url?scp=85075044380&partnerID=8YFLogxK

UR - http://www.mendeley.com/research/absolute-continuity-local-limit-theorems-homogeneous-functionals-point-processes

U2 - 10.1007/s10986-019-09460-x

DO - 10.1007/s10986-019-09460-x

M3 - Article

AN - SCOPUS:85075044380

VL - 59

SP - 498

EP - 506

JO - Lithuanian Mathematical Journal

JF - Lithuanian Mathematical Journal

SN - 0363-1672

IS - 4

ER -

ID: 49897446