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Successive Sampling With $p (p \geqq 1)$ Auxiliary Variables

A. R. Sen
- 01 Dec 1972 - 
- Vol. 43, Iss: 6, pp 2031-2034
TLDR
In this article, a double-sampling multivariate ratio estimate using $p$ auxiliary variates from the matched portion of the sample has been derived and results are presented for some special cases which have practical applications.
Abstract
In successive sampling on two occasions, the theory developed so far aims at providing the optimum estimate by combining (i) a double-sampling regression estimate from the matched portion of the sample and (ii) a simple mean based on a random sample from the unmatched portion of the sample on the second occasion. Theory has been generalized in the present note by using a double-sampling multivariate ratio estimate using $p$ auxiliary variates $(p \geqq 1)$ from the matched portion of the sample. Expressions for optimum matching fraction and of the combined estimate and its error have been derived and results are presented for some special cases which have practical applications.

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Dissertation

Some Investigations on the problem of Nonresponse in the Context of Repeat Surveys

Nirupam Ghosh
TL;DR: In this paper, the Hansen and Hurwitz (1946) sub-sampling technique has been used to tackle the problem of non-response in the context of surveys on two successive occasions under a two-stage sampling design.
Journal ArticleDOI

Improved rotation patterns using two auxiliary variables in successive sampling

TL;DR: In this paper, the role of two auxiliary variables on both the occasions to improve the precision of estimates is emphasized, and the authors emphasize the importance of these auxiliary variables for improving the accuracy of estimates.
Journal ArticleDOI

An Efficient Estimation Procedure in Two-Occasion Successive Sampling

TL;DR: An exponential regression type estimator of current population mean is proposed and corresponding optimum replacement strategy has been suggested and the superiority of the proposed estimator is empirically established over sample mean estimator and natural successive sampling estimator.
Journal ArticleDOI

Some effective combinations of available information under non response in two-occasion successive sampling

TL;DR: In this paper, the authors suggest some effective linear combinations of exponential estimators to estimate the current population mean in two occasion successive sampling in presence of non response, using the subsampling technique of non respondents.
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