Boundary Bias Correction Using Weighting Method in Presence of Nonresponse in Two-Stage Cluster Sampling

IF 16.4 1区 化学 Q1 CHEMISTRY, MULTIDISCIPLINARY
Nelson Kiprono Bii, C. O. Onyango, J. Odhiambo
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引用次数: 2

Abstract

Kernel density estimators due to boundary effects are often not consistent when estimating a density near a finite endpoint of the support of the density to be estimated. To address this, researchers have proposed the application of an optimal bandwidth to balance the bias-variance trade-off in estimation of a finite population mean. This, however, does not eliminate the boundary bias. In this paper weighting method of compensating for nonresponse is proposed. Asymptotic properties of the proposed estimator of the population mean are derived. Under mild assumptions, the estimator is shown to be asymptotically consistent.
两阶段聚类抽样无响应情况下加权法边界偏差校正
由于边界效应,核密度估计器在估计要估计的密度的有限端点附近的密度时往往不一致。为了解决这个问题,研究人员提出了应用最优带宽来平衡有限总体均值估计中的偏差-方差权衡。然而,这并不能消除边界偏差。本文提出了补偿无响应的加权方法。给出了总体均值估计量的渐近性质。在温和的假设下,证明了估计量是渐近一致的。
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来源期刊
Accounts of Chemical Research
Accounts of Chemical Research 化学-化学综合
CiteScore
31.40
自引率
1.10%
发文量
312
审稿时长
2 months
期刊介绍: Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.
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