On Local Linear Regression Estimation of Finite Population Totals in Model Based Surveys

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dc.contributor.authorKikechi, Conlet Biketi
dc.contributor.authorSimwa, Richard Onyino
dc.contributor.authorPokhariyal, Ganesh Prasad
dc.date.accessioned2024-09-18T06:43:40Z
dc.date.available2024-09-18T06:43:40Z
dc.date.issued2018
dc.descriptionJournal Article
dc.description.abstractIn this paper, nonparametric regression is employed which provides an estimation of unknown finite population totals. A robust estimator of finite population totals in model based inference is constructed using the procedure of local linear regression. In particular, robustness properties of the proposed estimator are derived and a brief comparison between the performances of the derived estimator and some existing estimators is made in terms of bias, MSE and relative efficiency. Results indicate that the local linear regression estimator is more efficient and performing better than the Horvitz-Thompson and Dorfman estimators, regardless of whether the model is specified or mispecified. The local linear regression estimator also outperforms the linear regression estimator in all the populations except when the population is linear. The confidence intervals generated by the model based local linear regression method are much tighter than those generated by the design based Horvitz-Thompson method. Generally the model based approach outperforms the design based approach regardless of whether the underlying model is correctly specified or not but that effect decreases as the model variance increases.
dc.identifier.citationKikechi, C. B., Simwa, R. O., & Pokhariyal, G. P. (2018). On Local Linear Regression Estimation of Finite Population Totals in Model Based Surveys. American Journal of Theoretical and Applied Statistics
dc.identifier.issn2326-8999
dc.identifier.urihttps://repository.daystar.ac.ke/handle/123456789/5154
dc.language.isoen
dc.publisherAmerican Journal of Theoretical and Applied Statistics
dc.relation.ispartofseries7(3)
dc.subjectNonparametric Regression
dc.subjectFinite Population Totals
dc.subjectLocal Linear Regression
dc.subjectRobustness Properties
dc.subjectConfidence Intervals
dc.subjectModel Based Surveys
dc.titleOn Local Linear Regression Estimation of Finite Population Totals in Model Based Surveys
dc.typeArticle

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