UNIFORM CONVERGENCE OF NONPARAMETRIC CONDITIONAL HAZARD FUNCTION IN THE SINGLE FUNCTIONAL INDEX MODELING FOR DEPENDENT DATA

被引：1
|
作者：
Omari, Omar [1 ]
Merouan, Torkia [1 ]
Mechab, Boubaker [1 ]
机构：
[1] Univ Djillali Liabes Sidi Bel Abbes, Dept Probabil & Stat, Lab Stat & Stochast Proc, Sidi Bel Abbes 22000, Algeria
来源：
JOURNAL OF SCIENCE AND ARTS | 2023年 / 01期
关键词：
dimension reduction; dependent data; single index model; DENSITY-ESTIMATION;
D O I：
10.46939/J.Sci.Arts-23.1-a07
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
We study the nonparametric local linear estimation of the conditional hazard function of a scalar response variable given a functional explanatory variable, when the functional data are a-mixing dependency and we give the uniform almost complete convergence with rates of this function.
引用
收藏
页码：91 / 106
页数：16
相关论文
共 50 条
  • [41] Conditional estimation for dependent functional data
    Battey, Heather
    Sancetta, Alessio
    JOURNAL OF MULTIVARIATE ANALYSIS, 2013, 120 : 1 - 17
  • [42] On the central limit theorem for a conditional mode estimator in the single functional index modeling for functional time series data under random censorship
    Dib, Abdessamad
    Hamri, Mohamed Mehdi
    Rabhi, Abbes
    FILOMAT, 2023, 37 (27) : 9401 - 9429
  • [43] ASYMPTOTIC PROPERTIES OF THE CONDITIONAL HAZARD FUNCTION ESTIMATE BY THE LOCAL LINEAR METHOD FOR FUNCTIONAL ERGODIC DATA
    Bassoudi, Mohammed
    Belguerna, Abderrahmane
    Daoudi, Hamza
    Laala, Zeyneb
    JOURNAL OF APPLIED MATHEMATICS & INFORMATICS, 2023, 41 (06): : 1341 - 1364
  • [44] Asymptotic Normality of the Conditional Hazard Function In the Local Linear Estimation Under Functional Mixing Data
    Goutal, Amina
    Mechab, Boubaker
    Fetitah, Omar
    Merouan, Torkia
    APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, 2022, 17 (02): : 308 - 332
  • [45] Nonparametric Estimation of a Cumulative Hazard Function with Right Truncated Data
    Zhang, Xu
    Jiang, Yong
    Zhao, Yichuan
    Akcin, Haci
    NEW FRONTIERS OF BIOSTATISTICS AND BIOINFORMATICS, 2018, : 403 - 420
  • [46] Nonparametric Estimation of a Hazard Rate Function with Right Truncated Data
    Akcin, Haci
    Zhang, Xu
    Zhao, Yichuan
    NEW FRONTIERS OF BIOSTATISTICS AND BIOINFORMATICS, 2018, : 441 - 456
  • [47] Estimation and simulation of conditional hazard function in the quasi-associated framework when the observations are linked via a functional single-index structure
    Hadjila, Tabti
    Ahmed, Ait Saidi
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2018, 47 (04) : 816 - 838
  • [48] Weak convergence of the conditional single index U-statistics for locally stationary functional time series
    Bouzebda, Salim
    AIMS MATHEMATICS, 2024, 9 (06): : 14807 - 14898
  • [49] A NONPARAMETRIC ESTIMATOR FOR THE COVARIANCE FUNCTION OF FUNCTIONAL DATA
    Sancetta, Alessio
    ECONOMETRIC THEORY, 2015, 31 (06) : 1359 - 1381
  • [50] Uniform convergence rates for kernel estimation with dependent data
    Hansen, Bruce E.
    ECONOMETRIC THEORY, 2008, 24 (03) : 726 - 748
12345