Some results on classifier selection with missing covariates

被引:2
|
作者
Mojirsheibani, Majid [1 ]
机构
[1] Carleton Univ, Sch Math & Stat, Ottawa, ON K1S 5B6, Canada
关键词
Classification; Empirical process; Shatter coefficient; Incomplete covariates; Kernel; EMPIRICAL MEASURES;
D O I
10.1007/s00184-010-0340-6
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
Methods are proposed to choose classifiers from a given collection of classifiers when there are missing covariates in the data. Two situations are considered: (i) the case where the new observation (to be classified) has no missing covariates and (ii) the case where the new observation is also allowed to have missing covariates. Using arguments from the empirical process theory, exponential performance bounds will be derived for the resulting classifiers. Such bounds, together with the Borel-Cantelli lemma, yield various strong consistency results.
引用
收藏
页码:521 / 539
页数:19
相关论文
共 50 条
  • [1] Some results on classifier selection with missing covariates
    Majid Mojirsheibani
    [J]. Metrika, 2012, 75 : 521 - 539
  • [2] Missing covariates in logistic regression, estimation and distribution selection
    Consentino, Fabrizio
    Claeskens, Gerda
    [J]. STATISTICAL MODELLING, 2011, 11 (02) : 159 - 183
  • [3] Bayesian variable selection for the Cox regression model with missing covariates
    Joseph G. Ibrahim
    Ming-Hui Chen
    Sungduk Kim
    [J]. Lifetime Data Analysis, 2008, 14 : 496 - 520
  • [4] Model selection of generalized partially linear models with missing covariates
    Fu, Ying-Zi
    Chen, Xue-Dong
    [J]. JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2012, 142 (01) : 126 - 138
  • [5] Model selection for zero-inflated regression with missing covariates
    Chen, Xue-Dong
    Fu, Ying-Zi
    [J]. COMPUTATIONAL STATISTICS & DATA ANALYSIS, 2011, 55 (01) : 765 - 773
  • [6] Imputation and variable selection in linear regression models with missing covariates
    Yang, XW
    Belin, TR
    Boscardin, WJ
    [J]. BIOMETRICS, 2005, 61 (02) : 498 - 506
  • [7] Bayesian variable selection for the Cox regression model with missing covariates
    Ibrahim, Joseph G.
    Chen, Ming-Hui
    Kim, Sungduk
    [J]. LIFETIME DATA ANALYSIS, 2008, 14 (04) : 496 - 520
  • [8] Variable Selection in the Cox Regression Model with Covariates Missing at Random
    Garcia, Ramon I.
    Ibrahim, Joseph G.
    Zhu, Hongtu
    [J]. BIOMETRICS, 2010, 66 (01) : 97 - 104
  • [9] Model selection with missing covariates for policy considerations in fox enclosures
    Hoegh, Andrew
    Crandell, Ian
    Klopfer, Scott
    Fies, Mike
    [J]. JOURNAL OF APPLIED STATISTICS, 2017, 44 (15) : 2645 - 2658
  • [10] Selection of Environmental Covariates for Classifier Training Applied in Digital Soil Mapping
    Campos, Alcinei Ribeiro
    Giasson, Elvio
    Ferreira Costa, Jose Janderson
    Machado, Israel Rosa
    da Silva, Elisangela Benedet
    Bonfatti, Benito Roberto
    [J]. REVISTA BRASILEIRA DE CIENCIA DO SOLO, 2018, 42