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Regular estimators for subclasses of linear estimators

Name: Regular estimators for subclasses of linear estimators
Creator: Prabhu-Ajgaonkar, S.G.
Keywords: regular estimator, 4. Education, Ikeda-Sen's sampling scheme, 05 social sciences, 01 natural sciences, Article, simple random sampling, 510.mathematics, classes of linear estimators, balanced sampling scheme

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1985 Germany English Publisher:Springer Science and Business Media LLCJournal:Metrika, volume 32, pages 265-274 (issn: 0026-1335, eissn: 1435-926X,

Authors: Prabhu-Ajgaonkar, S.G.;

doi: 10.1007/bf01897817

Regular estimators for subclasses of linear estimators

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Abstract

The concept of regular estimator is due to \textit{J. Roy} and \textit{I. M. Chakravarti} [Ann. Math. Stat. 31, 392-398 (1960; Zbl 0093.158)]. For simple random sampling with or without replacement, regular estimators exist in the \(T_ 1\)-class of linear estimators. However, for sampling with varying probabilities, a regular estimator does not exist in the \(T_ 1\), \(T_ 2\) and \(T_ 3\) classes of linear estimators. A regular estimator exists in the \(T_ 4\) class of linear estimators, if the sampling scheme is ''balanced''.

Country

Germany

Related Organizations

Dr. Babasaheb Ambedkar Marathwada University
India
DigiZeitschriften
Germany

Keywords

regular estimator, Ikeda-Sen's sampling scheme, Article, simple random sampling, 510.mathematics, classes of linear estimators, balanced sampling scheme, Sampling theory, sample surveys, Horvitz-Thompson estimator, sampling with varying probabilities

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