Partially linear multivariate regression in the presence of measurement error

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Küçük Resim

Tarih

2020

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Korean Statistical Society

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

In this paper, a partially linear multivariate model with error in the explanatory variable of the nonparametric part, and an m dimensional response variable is considered. Using the uniform consistency results found for the estimator of the nonparametric part, we derive an estimator of the parametric part. The dependence of the convergence rates on the errors distributions is examined and demonstrated that proposed estimator is asymptotically normal. In main results, both ordinary and super smooth error distributions are considered. Moreover, the derived estimators are applied to the economic behaviors of consumers. Our method handles contaminated data is founded more effectively than the semiparametric method ignores measurement errors

Açıklama

WOS:000580627300002

Anahtar Kelimeler

Asymptotic normality, Engel curves, Errors in variables, Kernel smoothing, Multivariate regression, Partially linear model

Kaynak

Communications for Statistical Applications and Methods

WoS Q Değeri

N/A

Scopus Q Değeri

Q4

Cilt

27

Sayı

5

Künye

Yalaz, S. ve Tez, M. (2020). Partially linear multivariate regression in the presence of measurement error. Communications for Statistical Applications and Methods, 27(5), 511-521.