Proportional Bootstrap and the consistency of corresponding variance esitmators

Yang Jun; Zou Guo-Hua

doi:10.7523/j.issn.2095-6134.2007.3.001

Journal of University of Chinese Academy of Sciences >

2007 , Vol. 24 >Issue 3: 273 - 279

DOI: https://doi.org/10.7523/j.issn.2095-6134.2007.3.001

论文

Proportional Bootstrap and the consistency of corresponding variance esitmators

Yang Jun ,
Zou Guo-Hua

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1 Institute of Reliability Engineering, Beijing University of Aeronautics and
Astronautics, Beijing 100083
2 Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing，100080

Received date: 1900-01-01

Revised date: 1900-01-01

Online published: 2007-05-15

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Abstract

This paper studies the proportional Bootstrap method on missing data, and
compares it with the usual Bootstrap method. Under the simple random sampling and
uniform response, using regression imputation and ratio imputation for missing data,
the consistency of the variance estimators obtained by proportional Bootstrap is proved.
Simulation results give a verification on our theoretical conclusions.

Key words： Bootstrap; Consistency; Proportional Bootstrap; Ratio imputation; Re- gression imputation; Variance estimation.

Cite this article

Yang Jun , Zou Guo-Hua . Proportional Bootstrap and the consistency of corresponding variance esitmators[J]. Journal of University of Chinese Academy of Sciences, 2007 , 24(3) : 273 -279 . DOI: 10.7523/j.issn.2095-6134.2007.3.001

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