Local Linear Estimator of the Conditional Hazard Function For Index Model in Case of Missing at Random Data

被引:0
|
作者
Abdelhak, Khadidja [2 ]
Belguerna, Abderrahmane [1 ]
Laala, Zeyneb [1 ]
机构
[1] Salhi Ahmed Univ Ctr, Dept Math & Comp Sci, BP 66, Naama 45000, Algeria
[2] Univ Djillali Liabes Sidi Bel Abbes, Lab Anal & Control PDE, Sidi Bel Abbes, Algeria
关键词
Almost complete convergence; Conditional hazard function; Functional data; Index model; Local linear; Missing at random; Rate; NONPARAMETRIC-ESTIMATION; ASYMPTOTIC NORMALITY; REGRESSION;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The estimation of hazard function becomes an important tool in statistics. Also, the single-index model is an essential method that has much application in a lot of domains but the use of this model in nonparametric estimation is very limited, and only a few theoretical results are available in the literature. In this paper, a kernel estimator of the conditional hazard function is proposed for the index model using the local linear model. This estimator is created under some regularity conditions and in the case of missing data at random. Then, the almost complete convergence is established with rate for the proposed estimator. The results prove that it has good asymptotic properties.
引用
收藏
页码:33 / 53
页数:22
相关论文
共 50 条
  • [1] Functional local linear estimate of the conditional hazard function with missing at random
    Kenouza, Jamel
    Mechab, Boubaker
    Benaissa, Samir
    INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS, 2019, 58 (04): : 101 - 114
  • [2] A local linear estimation of conditional hazard function in censored data
    Kim, Choongrak
    Oh, Minkyung
    Yang, Seong J.
    Choi, Hyemi
    JOURNAL OF THE KOREAN STATISTICAL SOCIETY, 2010, 39 (03) : 347 - 355
  • [3] A local linear estimation of conditional hazard function in censored data
    Choongrak Kim
    Minkyung Oh
    Seong J. Yang
    Hyemi Choi
    Journal of the Korean Statistical Society, 2010, 39 : 347 - 355
  • [4] Strong uniform consistency rates of the local linear estimation of the conditional hazard estimator for functional data
    Gagui, Abdelmalek
    Chouaf, Abdelhak
    INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS, 2020, 59 (02): : 1 - 13
  • [5] The k nearest neighbors local linear estimator of functional conditional density when there are missing data
    Almanjahie, Ibrahim M.
    Alahmari, Wafaa Mesfer
    Laksaci, Ali
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2022, 51 (03): : 914 - 931
  • [6] STRONG CONSISTENCY RATE OF THE CONDITIONAL QUANTILE ESTIMATOR WITH DATA MISSING AT RANDOM
    Bourouba, Assia
    Hamidi, Nesrine
    Mechab, Boubaker
    Litimein, Ouahiba
    JOURNAL OF SCIENCE AND ARTS, 2022, (04): : 811 - 820
  • [7] 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
  • [8] Uniform law of the logarithm for the local linear estimator of the conditional distribution function
    Ferrigno, Sandie
    Maumy-Bertrand, Myriam
    Muller, Aurelie
    COMPTES RENDUS MATHEMATIQUE, 2010, 348 (17-18) : 1015 - 1019
  • [9] 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
  • [10] Asymptotic properties of a nonparametric conditional density estimator in the local linear estimation for functional data via a functional single-index model
    Benaissa, Fadila
    Gagui, Abdelmalek
    Chouaf, Abdelhak
    STATISTICAL THEORY AND RELATED FIELDS, 2022, 6 (03) : 208 - 219