有限总体中基于广义Liu 估计的预测及其小样本性质

黄介武

有限总体中基于广义Liu 估计的预测及其小样本性质

引用本文：黄介武.有限总体中基于广义Liu 估计的预测及其小样本性质[J].经济数学,2012,(1):21-24

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作者	单位
黄介武	(1.贵州民族学院理学院, 贵州贵阳550025；2.重庆大学数学与统计学院, 重庆401331)

中文摘要:在有限总体中提出了一类基于广义Liu估计的新的预测，得到了基于广义Liu估计的预测在预测均方误差意义下优于最优线性无偏预测的充要条件，并通过实例对理论成果进行了进一步的说明.

中文关键词:有限总体预测均方误差最优线性无偏预测广义Liu 估计

A Predictor Based on the Generalized Liu Estimator in Finite Populations and Its Small-sample Properties

Abstract:This paper proposed a new predictor based on the generalized Liu estimator in finite populations.The necessary and sufficient conditions for the superiority of the predictor based on the generalized Liu estimator over the best linear unbiased predictor in the prediction mean squared error sense were derived. Furthermore, a numerical example was given to illustrate some of the theoretical results.

keywords:finite populations prediction mean squared error best linear unbiased predictor, generalized Liu estimator

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