# Efficient Classes of Estimators of Population Variance in Two-Phase Successive Sampling Under Random Non-Response

## DOI:

https://doi.org/10.6092/issn.1973-2201/12686## Keywords:

Successive sampling, Auxiliary variable, Random non-response, Variance estimator, Bias, Mean square error## Abstract

This paper presents some efficient classes of estimators of population variance in two-phase successive sampling under random non-response. The suggested classes of estimators are for simple random sampling and for different situations of non-response. Up to first-order approximation MSE’s of suggested classes of estimators are derived. The efficiency of the presented estimators is contrasted with the estimators for the complete response scenarios. Usefulness of the presented classes of estimators is checked. To test the efficiency real data sets are used. The proposed classes of estimators are more efficient. Results are interpreted.

## References

T. N. BEEVI, C. CHANDRAN (2017). Efficient family of ratio-type estimators for mean estimation in successive sampling on two occasions using auxiliary information. Statistics, 18, no. 2, pp. 227–245.

M. I. BHATTI (2012). Cluster effects in mining complex data. Nova Science Publisher’s, New York.

M. N. MURTHY (1967). Sampling Theory and Methods. Statistical Publishing Society, Barrackpore.

S. RIAZ, A. NAZEER., J. ABBASI., S. QAMAR (2020). On the generalized classes of estimators for estimation of finite population mean in the presence of non-response problem. Journal of Prime Research in Mathematics, 16, no. 1, pp. 52–63.

J. SHABBIR, S. GUPTA (2006). On estimation of finite population variance. Journal of Interdisciplinary Mathematics, 9, no. 2, pp. 405–419.

A. K. SHARMA (2017). An effective imputation method to minimize the effect of random non-response in estimation of population variance on successive occasions. Kuwait Journal of Science, 44, no. 4, pp. 91–97.

A. K. SHARMA, A. K. SINGH (2020). Estimation of population variance under an imputation method in two-phase sampling. Proceedings of theNational Academy of Sciences, India Section A: Physical Sciences, 90, no. 1, pp. 185–191.

G. N. SINGH, D. BHATTACHARYYA, A. BANDYOPADHYAY (2021). Calibration estimation of population variance under stratified successive sampling in presence of random non response. Communications in Statistics-Theory and Methods, 50, no. 19, pp. 4487–4509.

G. N. SINGH, D. BHATTACHARYYA, A. BANDYOPADHYAY (2023). A general class of calibration estimators under stratified random sampling in presence of various kinds of non-sampling errors. Communications in Statistics-Simulation and Computation, 52, no. 2, pp. 320–333.

G. N. SINGH, M. KHALID (2018). An effective estimation strategy for population mean under random non-response situations in two-phase successive sampling. Communications in Statistics-Theory and Methods, 47, no. 19, pp. 4641–4660.

G. N. SINGH, M. KHALID (2019). Effective estimation strategy of population variance in two-phase successive sampling under random non-response. Journal of Statistical Theory and Practice, 13, no. 1, pp. 1–28.

G. N. SINGH, M. KHALID (2022). A composite class of estimators to deal with the issue of variance estimation under the situations of random non-response in two-occasion successive sampling. Communications in Statistics-Simulation and Computation, 51, no. 4, pp. 1454–1473.

G. N. SINGH, M. KHALID, A. K.SHARMA (2017a). Some efficient classes of estimators of population mean in two-phase successive sampling under random non response. Communications in Statistics-Theory and Methods, 46, no. 24, pp. 12194–12209.

G.N. SINGH, M. KHETAN, S.MAURYA (2017b). On the use of multi-auxiliary variables to neutralize the effect of non-response in two-occasion successive sampling. Communications in Statistics-Theory and Methods, 46, no. 7, pp. 3501–3519.

G. N. SINGH, A. K. SHARMA, A.BANDYOPADHYAY (2017c). Effectual variance estimation strategy in two-occasion successive sampling in presence of random non response. Communications in Statistics-Theory and Methods, 46, no. 14, pp. 7201–7224.

H. P. SINGH, S. K. PAL (2016). Use of several auxiliary variables in estimating the population mean in a two-occasion rotation pattern. Communications in Statistics-Theory and Methods, 45, no. 23, pp. 6928–6942.

S. SINGH, A. H. JOARDER (1998). Estimation of finite population variance using random non-response in survey sampling. Metrika, 47, no. 1, pp. 241–249.

P. V. SUKHATME, B. V. SUKHATME (1970). Sampling Theory of Surveys with Applications. Iowa State University Press, Ames.

## Downloads

## Published

## How to Cite

*Statistica*,

*82*(2), 177–198. https://doi.org/10.6092/issn.1973-2201/12686

## Issue

## Section

## License

Copyright (c) 2022 Statistica

This work is licensed under a Creative Commons Attribution 3.0 Unported License.