Successive sampling strategy under non response

Abstract The present work is an attempt to study the effect of non-response at both occasions in search of good successive (rotation) sampling over two occasions. A chain-type ratio and regression estimator has been proposed for estimating the population mean at current occasion in presence of non-response at both the occasion in two-occasion successive (rotation) sampling. Detail behaviors of proposed estimators have been studied. Proposed estimators are compared with the estimators for the same situations but in the absence of non-response. Performances of the proposed estimators have been demonstrated via empirical studies.

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Estimation of current population mean using two-occasion successive sampling with one auxiliary variable

Science Vision ◽

10.33493/scivis.18.02.05 ◽

2018 ◽

Vol 18 (2) ◽

pp. 74-77

Author(s):

R. Zoramthanga

Keyword(s):

Mean Square Error ◽

Auxiliary Information ◽

Auxiliary Variable ◽

Ratio Estimator ◽

Mean Square ◽

Current Estimate ◽

Successive Sampling ◽

Population Mean ◽

Female Workers ◽

Chain Type

In this study, two-occasion successive sampling for ratio-to-regression estimator was used to determine the current estimate of the population mean using only the matched part and one auxiliary variable, which is available on both the occasions. The data used were based on the total number of female workers in villages in Mizoram with the total number of literate female in villages in Mizoram as an auxiliary variables. The data were gotten from Census of India 2001 and 2011. The optimum mean square error of the combined ratio-to-regression and ratio estimator has been compared with (i) the optimum mean square error of the chain-type ratio estimator (ii) mean per unit estimator and (iii) combined estimator when no auxiliary information is used at any occasion. This result showed that the combined ratio-to-regression and ratio estimator is more efficient than the other three existing estimators.

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A Review of Chain-Type Estimators and a New Chain-Type Multivariate Regression Approach for Population Mean Under Two-Occasion Successive Sampling

Proceedings of the National Academy of Sciences India Section A Physical Sciences ◽

10.1007/s40010-016-0313-x ◽

2016 ◽

Vol 87 (1) ◽

pp. 31-56

Author(s):

Housila P. Singh ◽

Surya K. Pal

Keyword(s):

Multivariate Regression ◽

Successive Sampling ◽

Population Mean ◽

Regression Approach ◽

Chain Type

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Use of power transformation for estimating the population mean in presence of non-response in successive sampling

Journal of Applied Mathematics Statistics and Informatics ◽

10.1515/jamsi-2017-0012 ◽

2017 ◽

Vol 13 (2) ◽

pp. 109-140

Author(s):

S. K. Pal ◽

H. P. Singh

Keyword(s):

Empirical Study ◽

Empirical Studies ◽

Power Transformation ◽

Successive Sampling ◽

Population Mean ◽

Current Population

Abstract This paper addresses the problem of estimating the population mean at the current occasion in two occasion successive sampling when non-response occurs on the current (second) occasions. Using the power transformation we have suggested classes of estimators of current population mean and their properties are studied. Optimum replacement strategies for the proposed estimators have been given and empirical studies are carried out to assess the performance of estimators. We have made suitable recommendation to the practitioners on the basis of the empirical study.

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