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Author:

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

Indexed by:

Scopus SCIE

Abstract:

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.

Keyword:

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

Author Community:

  • [ 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

Reprint Author's Address:

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

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Source :

JOURNAL OF APPLIED STATISTICS

ISSN: 0266-4763

Year: 2019

Issue: 5

Volume: 46

Page: 914-925

1 . 5 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

ESI HC Threshold:54

Cited Count:

WoS CC Cited Count: 3

SCOPUS Cited Count: 2

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 7

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