Prabhu-Ajgaonkar’s 1967 Result Revisited

Article Type

Research Article

Publication Title

Statistics and Applications

Abstract

This short communication revisits the work of Ajgaonkar (1967), wherein the author claimed that the precision of an estimator of population total (or population mean) decreases on increasing the sample size, if the estimator under consideration is an average function, and the population elements are drawn with varying probabilities of selection at each draw. Prabhu-Ajgaonkar (1967) justified this claim through some examples. However, this paper disproves the claim so made!.

First Page

323

Last Page

329

Publication Date

12-1-2025

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