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作者:

Du, Jiang (Du, Jiang.) (学者:杜江) | Cao, Ruiyuan (Cao, Ruiyuan.) | Kwessi, Eddy (Kwessi, Eddy.) | Zhang, Zhongzhan (Zhang, Zhongzhan.) (学者:张忠占)

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Scopus SCIE

摘要:

In practice, it is not uncommon to encounter the situation that a discrete response is related to both a functional random variable and multiple real-value random variables whose impact on the response is nonlinear. In this paper, we consider the generalized partial functional linear additive models (GPFLAM) and present the estimation procedure. In GPFLAM, the nonparametric functions are approximated by polynomial splines and the infinite slope function is estimated based on the principal component basis function approximations. We obtain the estimator by maximizing the quasi-likelihood function. We investigate the finite sample properties of the estimation procedure via Monte Carlo simulation studies and illustrate our proposed model by a real data analysis.

关键词:

functional data quasi-likelihood B-spline additive model Generalized linear model

作者机构:

  • [ 1 ] [Du, Jiang]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
  • [ 2 ] [Cao, Ruiyuan]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
  • [ 3 ] [Zhang, Zhongzhan]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
  • [ 4 ] [Kwessi, Eddy]Trinity Univ, Dept Math, San Antonio, TX 78212 USA

通讯作者信息:

  • [Cao, Ruiyuan]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China

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来源 :

JOURNAL OF APPLIED STATISTICS

ISSN: 0266-4763

年份: 2019

期: 5

卷: 46

页码: 914-925

1 . 5 0 0

JCR@2022

ESI学科: MATHEMATICS;

ESI高被引阀值:54

被引次数:

WoS核心集被引频次: 2

SCOPUS被引频次: 1

ESI高被引论文在榜: 0 展开所有

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中文被引频次:

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