Asymptotic Design-Unbiasedness of Jackknige Variance Estimators in the Presence of Missing Data

Liu Li;Zou Guohua

Journal of Systems Science and Mathematical Sciences ›› 2006, Vol. 26 ›› Issue (4) : 491-503.

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中国科学院数学与系统科学研究院期刊网
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Journal of Systems Science and Mathematical Sciences ›› 2006, Vol. 26 ›› Issue (4) : 491-503. DOI: 10.12341/jssms10259
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Asymptotic Design-Unbiasedness of Jackknige Variance Estimators in the Presence of Missing Data

  • Liu Li;Zou Guohua
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Abstract

In practical surveys, non-response is often unavoidable. How to estimate
the population quantities of interest is an important problem in this case. Recently, Zou et al. (2002) have found that for the sample rotation method with missing data, Jackknife variance estimators they proposed are asymptotically design-unbiased under uniform response. This properly provides a solid basis to use Jackknife variance estimators. This paper aims at studying the similar property of some other Jackknife variance estimators existing in the
literature. Our results show that the asymptotic design-unbiasedness for Jackknife variance estimators universally holds.

Key words

Asymptotic design-unbiasedness / Jackknife variance estimator / missing data / non-response / ratio imputation

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Liu Li , Zou Guohua. Asymptotic Design-Unbiasedness of Jackknige Variance Estimators in the Presence of Missing Data. Journal of Systems Science and Mathematical Sciences, 2006, 26(4): 491-503 https://doi.org/10.12341/jssms10259
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