Abstract
In this paper we have suggested an exponential estimator of ratio cum product-type for finite population mean in double sampling for stratification. The proposed estimator's bias and mean squared error were obtained up to the first order of approximation. Comparisons have been made theoretically and numerically both with unbiased estimator, ratio and product-type estimator, ratio and product-type exponential estimators. In support of the work, an empirical study is also performed.
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References
Chouhan, S.: Improved estimation of parameters using auxiliary information in sample surveys, Unpublished Ph.D. Thesis, Vikram University, Ujjain, M.P. India (2012).
Ige, A.F., Tripathi, T.P.: On doubling for stratification and use of auxiliary information. J. Indian Soc. Agric. Stat. 39, 191–201 (1987)
Lone, H.A., Tailor, R., Verma, M.R.: An alternative to ratio and product type estimators of finite population mean in double sampling for stratification. J. Indian Soc. Agric. Stat. 74(1), 63–68 (2020)
Searls, D. T.: The utilization of known coefficient of variation in the estimation procedure. J. Am. Stat. Assoc. 59, 1225–1226 (1964)
Shabbir, J.: Efficient utilization of two auxiliary variables in stratified double sampling. Commun. Stat. Theory Method 47(1), 1–10 (2017)
Singh, H.P., Vishwakarma, G.K.: A general procedure for estimating the mean using double sampling for stratification. Model Assis. Stat. Appl. 2(4), 225–237 (2007)
Singh, H.P., Vishwakarma, G.K.: Modified exponential ratio and product estimators of finite population mean in double sampling. Austrian J. Stat. 36(3), 217–225 (2007)
Singh, S.: Advance Sampling Theory and Applications—How Michael ‘selected’ Amy, vol. I. Springer Sciences and Business Media, Berlin (2003)
Sukhatme, P.V., Sukhatme, B.V., Sukhatme, S., Asok, C.: Sampling Theory and Surveys with Applications. Towa State University Press, Ames (1984)
Tailor, R., Lone, H.: Ratio-cum-product estimator of finite population mean in double sampling for stratification. J. Reliab. Stat. Stud. 7(1), 93–101 (2014)
Tailor, R., Chouhan, S., Kim, J.M.: Ratio and product type exponential estimators of population mean in double sampling for stratification. Commun. Stat. Appl. Methods 21(1), 1–9 (2014)
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Authors are thankful to the referees for their valuable suggestions for the improvement of the paper.
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Singh, H.P., Nigam, P. Ratio cum product-type exponential estimator in double sampling for stratification of finite population mean. Afr. Mat. 33, 79 (2022). https://doi.org/10.1007/s13370-022-01005-9
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DOI: https://doi.org/10.1007/s13370-022-01005-9