Estimation of finite population kurtosis under two-phase sampling for nonresponse
نویسندگان
چکیده
منابع مشابه
Weighted Likelihood Estimation under Two-phase Sampling.
We develop asymptotic theory for weighted likelihood estimators (WLE) under two-phase stratified sampling without replacement. We also consider several variants of WLEs involving estimated weights and calibration. A set of empirical process tools are developed including a Glivenko-Cantelli theorem, a theorem for rates of convergence of M-estimators, and a Donsker theorem for the inverse probabi...
متن کاملMaterial for “ Weighted Likelihood Estimation under Two - Phase Sampling
A. Appendix. We repeatedly use the notation for empirical measures and processes introduced in Section 2 following [2]. The fundamental idea of [2] is to view Gξj,Nj as the exchangeably weighted bootstrap empirical process corresponding to Gj,Nj ≡ √ Nj ( Pj,Nj − P0|j ) for j = 1, . . . , J . The processes Gξj,Nj converge weakly to √ pj(1− pj)Gj for independent P0|jBrownian bridge processes Gj ,...
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We consider the problem of estimating the finite population mean in two phase sampling when some information on auxiliary attributes is available. It is shown that the proposed estimator is more efficient than the usual mean estimator, the S. Bahl and R.K. Tuteja (Ratio and product type exponential estimators, Information and Optimization Sciences 12 (1), 159–163, 1991) estimator and a family o...
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ژورنال
عنوان ژورنال: Statistical Papers
سال: 2011
ISSN: 0932-5026,1613-9798
DOI: 10.1007/s00362-011-0392-3