A general class of estimators for finite population variance is proposed under a two-phase sampling scheme. For this general class the minimum mean square error and a regression type estimator which reaches that minimum are given. Several sub-classes based on different sample means and variances of two auxiliary variables may follow from the general class. But for each sub-class the corresponding minimum mean square error and best regression type estimator followfrom the results concerning the general class. Thus, for explanatory purposes, only four examples of sub-classes are considered. In order to compare the sub-classes with the general class a simulation study is also given.

Estimation for finite population variance in double sampling / Giancarlo Diana, Chiara Tommasi. - In: METRON. - ISSN 0026-1424. - 62:2(2004), pp. 223-232.

Estimation for finite population variance in double sampling

C. Tommasi
2004

Abstract

A general class of estimators for finite population variance is proposed under a two-phase sampling scheme. For this general class the minimum mean square error and a regression type estimator which reaches that minimum are given. Several sub-classes based on different sample means and variances of two auxiliary variables may follow from the general class. But for each sub-class the corresponding minimum mean square error and best regression type estimator followfrom the results concerning the general class. Thus, for explanatory purposes, only four examples of sub-classes are considered. In order to compare the sub-classes with the general class a simulation study is also given.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/15289
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