Linear Wavelet-Based Estimation for Derivative of a Density under Random Censorship

被引：0
|
作者：
Chaubey, YocTendra P. [1 ]
Doosti, Hassan [2 ]
Shirazi, Esmaeel [3 ]
Rao, B. L. S. Prakasa [4 ]
机构：
[1] Concordia Univ, Dept Math & Stat, Montreal, PQ, Canada
[2] Islamic Azad Univ, Fac Sci, Dept Stat, Mashhad Branch, Mashhad, Iran
[3] Ferdowsi Univ Mashhad, Dept Stat, Mashhad, Iran
[4] Univ Hyderabad, Dept Math & Stat, Hyderabad, Andhra Pradesh, India
来源：
JIRSS-JOURNAL OF THE IRANIAN STATISTICAL SOCIETY | 2010年 / 9卷 / 01期
关键词：
Besove space; censored data; nonparametric estimation of derivative of a density; wavelets;
D O I：
暂无
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 consider estimation of the derivative of a density based on wavelets methods using randomly right censored data. We extend the results regarding the asymptotic convergence rates due to Prakasa Rao (1996) and Chaubey et al. (2008) under random censorship model. Our treatment is facilitated by results of Stute (1995) and Li (2003) that enable us in demonstrating that the same convergence rates are achieved as in Prakasa Rao (1996) and Chaubey et al. (2008).
引用
收藏
页码：41 / 51
页数：11
相关论文
共 50 条
  • [1] Non-linear wavelet-based density estimators under random censorship
    Li, LY
    JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2003, 117 (01) : 35 - 58
  • [2] Wavelet based estimation for the derivative of a density by block thresholding under random censorship
    Esmaeil Shirazi
    Yogendra P. Chaubey
    Hassan Doosti
    Hossein Ali Nirumand
    Journal of the Korean Statistical Society, 2012, 41 : 199 - 211
  • [3] Wavelet based estimation for the derivative of a density by block thresholding under random censorship
    Shirazi, Esmaeil
    Chaubey, Yogendra P.
    Doosti, Hassan
    Nirumand, Hossein Ali
    JOURNAL OF THE KOREAN STATISTICAL SOCIETY, 2012, 41 (02) : 199 - 211
  • [4] Wavelet-Based Minimum Contrast Estimation of Linear Gaussian Random Fields
    Crujeiras, Rosa M.
    Ruiz-Medina, Maria-Dolores
    RECENT ADVANCES IN FUNCTIONAL DATA ANALYSIS AND RELATED TOPICS, 2011, : 63 - 69
  • [5] Strong consistency of local linear estimation of a conditional density function under random censorship
    Benkhaled, Abdelkader
    Madam, Fethi
    Khardani, Salah
    ARABIAN JOURNAL OF MATHEMATICS, 2020, 9 (03) : 513 - 529
  • [6] Strong consistency of local linear estimation of a conditional density function under random censorship
    Abdelkader Benkhaled
    Fethi Madani
    Salah Khardani
    Arabian Journal of Mathematics, 2020, 9 : 513 - 529
  • [7] Efficient estimation of analytic density under random censorship
    Belitser, E
    BERNOULLI, 1998, 4 (04) : 519 - 543
  • [8] Density estimation by wavelet-based reproducing kernels
    Huang, SY
    STATISTICA SINICA, 1999, 9 (01) : 137 - 151
  • [9] Wavelet-Based Density Estimation for Persistent Homology
    Haberle, Konstantin
    Bravi, Barbara
    Monod, Anthea
    SIAM-ASA JOURNAL ON UNCERTAINTY QUANTIFICATION, 2024, 12 (02): : 347 - 376
  • [10] Wavelet-based density estimation and application to process monitoring
    Safavi, AA
    Chen, J
    Romagnoli, JA
    AICHE JOURNAL, 1997, 43 (05) : 1227 - 1241
12345