Asymptotic normality of frequency polygons for random fields

Michel Carbon; Christian Francq; Lanh Tat Tran

doi:10.1016/j.jspi.2009.07.028

Asymptotic normality of frequency polygons for random fields

Michel Carbon
, Christian Francq
, Lanh Tat Tran

Université de Rennes 2
Université de Lille
Indiana University Bloomington

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

The purpose of this paper is to investigate asymptotic normality of the frequency polygon estimator of a stationary mixing random field indexed by multidimensional lattice points space Z^N. Appropriate choices of the bandwidths are found.

langue originale	Anglais
Pages (de - à)	502-514
Nombre de pages	13
journal	Journal of Statistical Planning and Inference
Volume	140
Numéro de publication	2
Les DOIs	https://doi.org/10.1016/j.jspi.2009.07.028
état	Publié - 1 févr. 2010
Modification externe	Oui

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10.1016/j.jspi.2009.07.028

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title = "Asymptotic normality of frequency polygons for random fields",

abstract = "The purpose of this paper is to investigate asymptotic normality of the frequency polygon estimator of a stationary mixing random field indexed by multidimensional lattice points space ZN. Appropriate choices of the bandwidths are found.",

keywords = "Asymptotic normality, Bandwidth, Frequency polygons, Random field",

author = "Michel Carbon and Christian Francq and \{Tat Tran\}, Lanh",

year = "2010",

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AU - Carbon, Michel

AU - Francq, Christian

AU - Tat Tran, Lanh

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N2 - The purpose of this paper is to investigate asymptotic normality of the frequency polygon estimator of a stationary mixing random field indexed by multidimensional lattice points space ZN. Appropriate choices of the bandwidths are found.

AB - The purpose of this paper is to investigate asymptotic normality of the frequency polygon estimator of a stationary mixing random field indexed by multidimensional lattice points space ZN. Appropriate choices of the bandwidths are found.

KW - Asymptotic normality

KW - Bandwidth

KW - Frequency polygons

KW - Random field

UR - https://www.scopus.com/pages/publications/70350621611

U2 - 10.1016/j.jspi.2009.07.028

DO - 10.1016/j.jspi.2009.07.028

M3 - Article

AN - SCOPUS:70350621611

SN - 0378-3758

VL - 140

SP - 502

EP - 514

JO - Journal of Statistical Planning and Inference

JF - Journal of Statistical Planning and Inference

IS - 2

ER -

Asymptotic normality of frequency polygons for random fields

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