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

Research output: Contribution to journal › Article › peer-review

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 Z^N. Appropriate choices of the bandwidths are found.

Original language	English
Pages (from-to)	502-514
Number of pages	13
Journal	Journal of Statistical Planning and Inference
Volume	140
Issue number	2
DOIs	https://doi.org/10.1016/j.jspi.2009.07.028
Publication status	Published - 1 Feb 2010
Externally published	Yes

Keywords

Asymptotic normality
Bandwidth
Frequency polygons
Random field

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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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language = "English",

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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

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

Abstract

Keywords

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