ON THE HYBRIDIZED LINEAR-RATIO ESTIMATOR FOR SUCCESSIVE SAMPLING ON TWO OCCASIONS
Information on rate of changes in longitudinal surveys with certain types of population can robustly considered only by Successive sampling in estimate population parameters. Therefore, this study proposed a more efficient estimator technique in successive sampling schemes to determine the population estimates of the two occasions. The proposed estimator was obtained over mathematical expectation and statistical assumptions to derived an unbiased estimate of mean ( ), minimum variance ( ) and Relative efficiency comparison (REC). A Real-life data were used to validate the expression in the study. The data were last two population census conducted in Nigeria in 1991 and 2006 respectively by National Population Commission (NPC). The findings of the study include a proposed estimator obtained by hybridization of linear and ratio estimator, mathematical estimations of the mean in first and second occasions, minimum variance with maximum precision and relative gain in efficiency of the four estimators; ESEst, EREst, ELEst and PHLREst derived; estimates of change and sum of the population parameters for the two occasions were derived and the estimates of change achieved minimum variance and maximum efficiency when correlation coefficient = 1.0 and proportion matched = 0.2. The study concluded that the proposed hybridized linear-ratio estimator is more efficient than the existing ones in term of precision. Moreover, these theoretical findings are certified by numerical illustration with the real-life data. Therefore, the proposed estimator is recommended for use in successive sampling scheme.
ArtÃ©s E., Ruad M., Arcos A. - Successive sampling using a product estimate. Applied science and the environment computation mechanics publication in Rome vol. 85 â€“ 90, 1998
ArtÃ©s, E. and GarcÃa, A. (2001). Successive sampling for the ratio of population parameters. Journal of the Portuguese Nacional Statistical Institute , 2, 43
Avdhani, M.S. (1968). Contribution to the theory of sampling from finite population and its application. Ph. D. thesis, Delhi University.
Azam, M., Zaman, Q., Salahuddin and Shabbir, J. (2010). Estimation of Current Population Variance in Two Successive Occasions. J. Statist. 17:54-65.
Chaturvedi, D.K. & Tripathi, T.P. (1983). Estimation of population ratio on two occasions using multivariate auxiliary information. Journal of the India statistical Association 21, 113-120.
Das, A.K. (1982). Estimation of population ratio on two occasions. Journal of the Indian society of Agricultural statistics, 34(2), 1-9.
Gupta, P.C. (1979). Sampling on two successive occasion. Journal of Statistical Research, 13(13), 7-16.
Jessen, R.J. (1942). Statistical investigation of sample survey for obtaining farm facts, IOWA agricultural experiment statistical research bulleting 304.
Okafor C.F. (2002). Sample survey theory with application. Afro-orbis publication Ltd UNN (Nsukka).
Okafor, F. C. (1992). The theory and application of sampling over two occasions for the estimation of current population ratio. Statistical. 1, 137-147.
Patterson, H. D. (1950). Sampling on successive occasions with partial replacement of units. Journal of the Royal Statistical Society. 12(B): 241âˆ’255.
Report on Census Final Result (1991), National Population Commission, Abuja, Nigeria
Report on Census Final Result (2006), National Population Commission, Abuja, Nigeria
Sen, A.R, Sellers, S., Smith G.E.J. (1975). The use of a ratio estimates in successive sampling, Biometrics 31, 673-683.
Sen, A.R. (1961). Successive Sampling with two auxiliary variables sonkhya: The Indian journal of statistics B33 371- 378.
Singh D. and Srivastora A.K. (1974). Successive sampling and its applications, unpublished paper presented at the international sym â€œRecent trends of research in statisticsâ€ in memory of the late professor P.C. Mahalanobis, Calculta, Dec. 16-27.
Singh, G. N. (2005). On the use of chain-type ratio estimator in successive sampling. Statistics in Transition. 7(1): pg, 21âˆ’26. Statistics In Transition new series, Summer 2015 195.
Singh, G. N., Priyanka, K. (2008). On the use of several auxiliary variates to improve the precision of estimates at current occasion. Journal of the Indian Society of Agricultural Statistics. 62(3): 253âˆ’265.
Singh, H. P., Tailor, R., Singh, S. and Kim, J. (2011). Estimation of population variance in successive sampling. 45:477-494.
Sodipo, E.O., Solipo. A. A., Akanbi, O.B. (2013). Estimation of Students population in public secondary schools. America Journal for Social issue humanities 3, 285-302.
Sud, U. C., Srivastava, A. K. and Sharma, D.P. (2001) On the Estimation of Population Variance in Repetitive Surveys. J. Ind. Soc. Agri. Statist. 54(2): 355-369.
Yates, F. (1949). â€˜Sampling methods for censuses and surveysâ€™ 3rd edition Charles Griffin and company Ltd; London.
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