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المؤلفMohammadi, Mohammad
المؤلفSalehi, Mohammad
المؤلفRao, J. N.K.
تاريخ الإتاحة2023-10-02T05:16:13Z
تاريخ النشر2014
اسم المنشورEnvironmental and Ecological Statistics
المصدرScopus
الرقم المعياري الدولي للكتاب13528505
معرّف المصادر الموحدhttp://dx.doi.org/10.1007/s10651-013-0258-z
معرّف المصادر الموحدhttp://hdl.handle.net/10576/48155
الملخصPerez and Pontius (J Stat Comput Simul 76:755-764, 2006) introduced several bootstrap methods under adaptive cluster sampling using a Horvitz-Thompson type estimator. Using a simulation study, they showed that their proposed methods provide confidence intervals with highly understated coverage rates. In this article, we first show that their bootstrap methods provide biased bootstrap estimates. We then define two bootstrap methods, based on the method of Gross (Proceeding of the survey research methods section. American Statistical Association, Alexandria, VA, pp 181-184, 1980) and Bootstrap With Replacement, that provide unbiased bootstrap estimates of the population mean with bootstrap variances matching the corresponding unbiased variance estimator. Using a simulation study, we show that the bootstrap confidence intervals based on our proposed methods have better performance than those based on available bootstrap methods, in the sense of having coverage proportion closer to the nominal coverage level. We also compare the proposed intervals to empirical likelihood based intervals in small samples.
اللغةen
الناشرKluwer Academic Publishers
الموضوعBootstrap
Coverage probability
Finite population
Horvitz-Thompson estimator
Normal approximation
Rare population
العنوانBootstrap confidence intervals for adaptive cluster sampling design based on Horvitz-Thompson type estimators
النوعArticle
الصفحات351-371
رقم العدد2
رقم المجلد21
dc.accessType Abstract Only


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