On a wavelet-based method of estimating a regression function

Hassan Doosti; Yogendra P. Chaubey; Hosein Ali Niroumand

doi:10.1080/03610920601143741

On a wavelet-based method of estimating a regression function

Hassan Doosti, Yogendra P. Chaubey^*, Hosein Ali Niroumand

^*Corresponding author for this work

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

1 Citation (Scopus)

Abstract

This article considers two-dimensional wavelet expansion of joint density function in introducing new regression function estimator. Some asymptotic properties of the proposed estimator are investigated. It is found that the new estimator have similar properties to its counterparts studied earlier in literature.

Original language	English
Pages (from-to)	2083-2098
Number of pages	16
Journal	Communications in Statistics - Theory and Methods
Volume	36
Issue number	11
DOIs	https://doi.org/10.1080/03610920601143741
Publication status	Published - Jan 2007
Externally published	Yes

Keywords

besov space
multiresolution analysis
nonparametric curve estimation
random design
two-dimensional wavelet
wavelets

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10.1080/03610920601143741

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title = "On a wavelet-based method of estimating a regression function",

abstract = "This article considers two-dimensional wavelet expansion of joint density function in introducing new regression function estimator. Some asymptotic properties of the proposed estimator are investigated. It is found that the new estimator have similar properties to its counterparts studied earlier in literature.",

keywords = "besov space, multiresolution analysis, nonparametric curve estimation, random design, two-dimensional wavelet, wavelets",

author = "Hassan Doosti and Chaubey, {Yogendra P.} and Niroumand, {Hosein Ali}",

year = "2007",

month = jan,

doi = "10.1080/03610920601143741",

language = "English",

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pages = "2083--2098",

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T1 - On a wavelet-based method of estimating a regression function

AU - Doosti, Hassan

AU - Chaubey, Yogendra P.

AU - Niroumand, Hosein Ali

PY - 2007/1

Y1 - 2007/1

N2 - This article considers two-dimensional wavelet expansion of joint density function in introducing new regression function estimator. Some asymptotic properties of the proposed estimator are investigated. It is found that the new estimator have similar properties to its counterparts studied earlier in literature.

AB - This article considers two-dimensional wavelet expansion of joint density function in introducing new regression function estimator. Some asymptotic properties of the proposed estimator are investigated. It is found that the new estimator have similar properties to its counterparts studied earlier in literature.

KW - besov space

KW - multiresolution analysis

KW - nonparametric curve estimation

KW - random design

KW - two-dimensional wavelet

KW - wavelets

UR - http://www.scopus.com/inward/record.url?scp=34547643709&partnerID=8YFLogxK

U2 - 10.1080/03610920601143741

DO - 10.1080/03610920601143741

M3 - Article

AN - SCOPUS:34547643709

SN - 0361-0926

VL - 36

SP - 2083

EP - 2098

JO - Communications in Statistics - Theory and Methods

JF - Communications in Statistics - Theory and Methods

IS - 11

ER -

On a wavelet-based method of estimating a regression function

Abstract

Keywords

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