Estimation of conditional mode with truncated, censored, and dependent data

被引:0
|
作者
Baek, Jong-Il [1 ,2 ]
Niu, Si-Li [3 ]
机构
[1] Wonkwang Univ, Div Math & Informat Stat, Iksan, South Korea
[2] Wonkwang Univ, Inst Basic Nat Sci, Iksan, South Korea
[3] Tongji Univ, Dept Math, Shanghai 200092, Peoples R China
基金
中国国家自然科学基金;
关键词
Asymptotic normality; conditional mode; truncated and censored data; uniform convergence with rate; alpha-mixing; FAILURE TIME DATA; NONPARAMETRIC-ESTIMATION; DENSITY; CONVERGENCE; PREDICTION;
D O I
10.1080/03610926.2015.1116575
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
In this paper, we studied the uniform convergence with rates for the kernel estimator of the conditional mode function for a left truncated and right censored model. It is assumed that the lifetime observations with multivariate covariates form a stationary -mixing sequence. Also, the asymptotic normality of the estimator is established.
引用
收藏
页码:6000 / 6016
页数:17
相关论文
共 50 条
  • [1] Conditional Quantile Estimation with Truncated, Censored and Dependent Data
    Liang, Hanying
    Li, Deli
    Miao, Tianxuan
    [J]. CHINESE ANNALS OF MATHEMATICS SERIES B, 2015, 36 (06) : 969 - 990
  • [2] Conditional Quantile Estimation with Truncated,Censored and Dependent Data
    Hanying LIANG
    Deli LI
    Tianxuan MIAO
    [J]. Chinese Annals of Mathematics,Series B, 2015, 36 (06) : 969 - 990
  • [3] Conditional quantile estimation with truncated, censored and dependent data
    Hanying Liang
    Deli Li
    Tianxuan Miao
    [J]. Chinese Annals of Mathematics, Series B, 2015, 36 : 969 - 990
  • [4] Kernel estimation of conditional density with truncated, censored and dependent data
    Liang, Han-Ying
    Liu, Ai-Ai
    [J]. JOURNAL OF MULTIVARIATE ANALYSIS, 2013, 120 : 40 - 58
  • [5] Wavelet estimation of conditional density with truncated, censored and dependent data
    Liang, Han-Ying
    de Una-Alvarez, Jacobo
    [J]. JOURNAL OF MULTIVARIATE ANALYSIS, 2011, 102 (03) : 448 - 467
  • [6] Weighted estimation of conditional mean function with truncated, censored and dependent data
    Liang, Han-Ying
    del Carmen Iglesias-Perez, Maria
    [J]. STATISTICS, 2018, 52 (06) : 1249 - 1269
  • [7] Asymptotic normality of conditional density estimation under truncated, censored and dependent data
    Liang, Han-Ying
    Zhou, Hong-Bing
    Guo, Qiu-Li
    [J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2020, 49 (22) : 5371 - 5391
  • [8] Asymptotic properties of conditional distribution estimator with truncated, censored and dependent data
    Han-Ying Liang
    Jacobo de Uña-Álvarez
    María del Carmen Iglesias-Pérez
    [J]. TEST, 2012, 21 : 790 - 810
  • [9] Asymptotic properties of conditional distribution estimator with truncated, censored and dependent data
    Liang, Han-Ying
    de Una-Alvarez, Jacobo
    del Carmen Iglesias-Perez, Maria
    [J]. TEST, 2012, 21 (04) : 790 - 810
  • [10] Bootstrap for the conditional distribution function with truncated and censored data
    M. C. Iglesias Pérez
    W. González Manteiga
    [J]. Annals of the Institute of Statistical Mathematics, 2003, 55 (2) : 331 - 357