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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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Journal ArticleDOI

Estimation of Population Mean Under Non Response in Two-Occasion Rotation Patterns

TL;DR: In this paper, the effect of non response at both occasions in search of good rotation patterns over two occasions was studied, and the proposed estimators were compared with the estimator using no information from previous (first) occasion.
Journal ArticleDOI

Use of several auxiliary variables in estimating the population mean in a two-occasion rotation pattern

TL;DR: In this paper, the problem of estimation of the population mean on the current (second) occasion in two-occasion successive sampling has been addressed, and an estimator procedure for the current instance on the basis of the information on the previous instance has been proposed.
Journal ArticleDOI

Search of good rotation patterns using exponential method of estimation in two-occasion successive sampling

TL;DR: In this article, the authors put emphasis on the role of two auxiliary variables on both the occasions to improve the precision of estimates at current (second)occasion in two-occasion successive sampling.

Search of effective rotation patterns in presence of auxiliary information in successive sampling over two occasions

TL;DR: In this paper, regression type estimators for estimating the population mean at the current (second) occasion have been proposed, and the proposed estimators have been compared with the sample mean estimator when there is no matching and the optimum estimator, which is a linear combination of the means of the matched and unmatched portion of the sample at each instance.
Journal ArticleDOI

Estimating quantiles under sampling on two occasions with arbitrary sample designs

TL;DR: A practical problem related to the estimation of quantiles in double sampling with arbitrary sampling designs in each of the two phases is investigated and some important properties, such as asymPTotic unbiasedness and asymptotic variance, are established.
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