Ratio in Ratio Type Exponential Strategy for the Estimation of Population Mean
This paper is an attempt to develop an estimator for finite population mean. Motivated by Kiregyera (1984), a ratio in ratio type exponential strategy is developed for estimation of population mean in double sampling for stratification. To compare with relevant considered estimators, expressions for bias and mean squared error of the developed estimator have been derived. The developed estimator has been compared with usual unbiased estimator, Ige and Tripathi (1987), ratio estimator and ratio type exponential estimator given by Tailor et al (2014) theoretically as well as empirically.
Bahl, S., and Tuteja, R.K. (1991). Ratio and product type exponential estimators, Journal of Information and Optimization Sciences, 12, 1, 159–164.
Chand, L. (1975). Some ratio-type estimators based on two or more auxiliary variables in two-phase sampling using two auxiliary variables. Unpublished Ph.D. dissertation, Lowa State University, Ames, Lowa.
Cochran, W.G. (1940). The Estimation of the yield in cereal experiments by sampling for the Ratio of Grain to Total Produce, The Journal of Agricultural Science, 30, 262–275.
Ige, A.F. and Tripathi T.P. (1987). On doubling for stratification and use of auxiliary information. Journal of The Indian Society of Agricultural Statistics, 39, 191–201.
Kiregyera, B. (1984). Regression type estimators using two auxiliary variables and the model of double sampling. Metrika, 31, 215–226.
Lone, H.A., Tailor, R. and Verma, M. (2020). An alternative to ratio and product type estimators of finite population mean in double sampling for stratification, Journal of The Indian Society of Agricultural Statistics, 74, 1, 63–68.
Murthy, M.N. (1967). Sampling Theory and Methods, Statistical Publishing Society, Calcutta, India.
Neyman, J. (1938). Contribution in the theory of sampling human population, Journal of American Statistical Association, 33, 111–116.
Singh, D. and Chaudhary, F.S. (1971). Theory and Analysis of Sample Survey Designs. Wiley Eastern Limited, New Delhi.
Singh, H.P. and Nigam, P. (2020a). Ratio-Ratio-Type exponential estimator of finite population mean in double sampling for stratification, International Journal of Agricultural and Statistical Science, 16, 1, 251–257.
Singh, H.P. and Nigam, P. (2020b). Product-Product-Type exponential estimator of finite population mean in double sampling for stratification, International Journal of Mathematics and Statistics. 21, 3.
Tailor R., Chouhan, S. and Kim, J.M. (2014). Ratio and product type exponential estimators population mean in double sampling for stratification. Communications for Statistical Applications and Methods, 21, 1, 1–9.
Tailor, R. and Janbandhu, R. (2020). Chain ratio-type estimator for ratio of two- population means in double sampling, International Journal of Agricultural and Statistical Science, 16, 2, 921–923.
Tailor, R. and Lone, H.A. (2014). Ratio-cum-product estimator of finite population mean in double sampling for stratification, Journal of Reliability and Statistical Studies, 7, 1, 93–101.
Sharma, B.K. and Tailor, R. (2014). An alternative ratio-cum-product estimator of finite population means using coefficient of kurtosis of two auxiliary variates in two-phase sampling. Pakistan Journal of Operation Research, 10, 3, 257–266.
Singh, H.P., Tailor, R. and Tailor, R. (2012). Estimation of finite population mean in two-phase sampling with known coefficient of variation of an auxiliary character. Statistica, 72, 111–126.
Mehta, P. and Tailor, R. (2020). Chain ratio type estimators using known parameters of auxiliary variates in double sampling. Journal of Reliability and Statistical Studies. 13, 2–4, 243–252.