Regular estimators for subclasses of linear estimators (Q1088318)
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scientific article; zbMATH DE number 3990589
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Regular estimators for subclasses of linear estimators |
scientific article; zbMATH DE number 3990589 |
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Regular estimators for subclasses of linear estimators (English)
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1985
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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''.
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Horvitz-Thompson estimator
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Ikeda-Sen's sampling scheme
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balanced sampling scheme
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classes of linear estimators
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regular estimator
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simple random sampling
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sampling with varying probabilities
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0.7471204400062561
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