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An effective computational and simulation study for population mean estimation on current occasion

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Abstract

In general, successive sampling is the procedure to study the effect of the change in a characteristic on different occasions. We have suggested a new effective approach to analyze the estimate of population mean on current occasion under successive sampling. The properties of the proposed novel class under the suggested approach are derived by using optimum replacement policy. The superiority of the class is demonstrated through theoretical, numerical and simulation study. The simulation based mean square errors are computed under optimum unmatched proportion of their respective class of estimators. The suggested approach of estimation is fruitful for survey practitioners to handle large as well as small populations.

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References

  • Badawi, H., Shawagfeh, N., Abu Arqub, O.: Fractional conformable stochastic integrodifferential equations: existence, uniqueness, and numerical simulations utilizing the shifted Legendre spectral collocation algorithm. Math. Probl. Eng., 2022 (2022)

  • Badawi, H., Arqub, O.A., Shawagfeh, N.: Stochastic integrodifferential models of fractional orders and Leffler nonsingular kernels: well-posedness theoretical results and Legendre Gauss spectral collocation approximations. Chaos, Solitons Fract. X 10, 100091 (2023)

    Article  Google Scholar 

  • Badawi, H., Arqub, O.A., Shawagfeh, N.: Well-posedness and numerical simulations employing Legendre-shifted spectral approach for Caputo-Fabrizio fractional stochastic integrodifferential equations. Int. J. Mod. Phys. C 34(06), 2350070 (2023)

    Article  Google Scholar 

  • Bandyopadhyay, A., Singh, G.N.: On the use of two auxiliary variables to improve the precision of estimate in two-occasion successive sampling. Int. J. Math. Stat. 15(1), 73–88 (2014)

    Google Scholar 

  • Bhushan, S., Pratap Pandey, A., Pandey, A.: On optimality of imputation methods for estimation of population mean using higher order moment of an auxiliary variable. Commun. Stat.-Simul. Comput. 49(6), 1560–1574 (2020)

    Article  Google Scholar 

  • Bhushan, S., Rastogi, N., Pandey, S.: On Mean Estimation Using a Generalized Class of Chain Type Estimator under Successive Sampling, pp. 31–46. Concepts and Modeling, Predictive Analytics Using Statistics and Big Data (2020)

  • Bhushan, S., Pandey, S.: An effective class of estimators for population mean estimation in successive sampling using simulation approach. J. Statist. Comput. Simul., 1-32 (2023)

  • Bhushan, S., Kumar, A., Pandey, A.P., Singh, S.: Estimation of population mean in presence of missing data under simple random sampling. Commun. Stat.-Simul. Comput. 52(12), 6048–6069 (2023)

    Article  Google Scholar 

  • Biradar, R.S., Singh, H.P.: Successive sampling using auxiliary information on both occasions. Calcutta Statist. Assoc. Bull. 51, 243–252 (2001)

    Article  Google Scholar 

  • Chaturvedi, D.K., Tripathi, T.P.: Estimation of population ratio on two occasions using multivariate auxiliary information. J. Indian Stat. Assoc. 21, 113–120 (1983)

    Google Scholar 

  • Cochran, W.G.: Sampling Techniques. Third edition, Wiley Eastern Limited (1977)

  • Feng, S., Zou, G.: Sample rotation method with auxiliary variable. Commun. Stat.-Theory Methods 26(6), 1497–1509 (1997)

    Article  Google Scholar 

  • Jessen, R.J.: Statistical investigation of a sample survey for obtaining farm facts. Iowa Agricultural Experiment Station Research, Bulletin No. 304, Ames, Iowa, U. S. A., 1-104 (1942)

  • Patterson, H.D.: Sampling on successive occasions with partial replacement of units. J. Roy. Stat. Soc. 12, 241–255 (1950)

    Article  Google Scholar 

  • R Core Team: R: a language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, Austria. URL https://www.R-project.org/ (2022)

  • Ralte, Z., Das, G.: Ratio-to-regression estimator in successive sampling using one auxiliary variable. Stat. Transit. New Ser. 2(16), 183–202 (2015)

    Article  Google Scholar 

  • Rao, J.N.K., Graham, J.E.: Rotation design for sampling on repeated occasions. J. Am. Stat. Assoc. 59, 492–509 (1964)

    Article  Google Scholar 

  • Searls, D.T.: Utilization of known coefficients of Kurtosis in the estimation procedure of variance. J. Am. Stat. Assoc. 59, 1225–1226 (1964)

    Article  Google Scholar 

  • Singh, V.K., Singh, G.N., Shukla, D.: An efficient family of ratio-cumdifference type estimators in successive sampling over two occasions. J. Sci. Res. 41(C), 149–159 (1991)

    Google Scholar 

  • Singh, G.N., Singh, V.K.: On the use of auxiliary information in successive sampling. J. Indian Soc. Agric. Stat. 54(1), 1–12 (2001)

    Google Scholar 

  • Singh, S.: Advanced Sampling Theory with Applications. Kluwer Academics Press (2003)

  • Singh, G.N.: On the use of chain-type ratio estimator in successive sampling. Stat. Transit. 7, 21–26 (2005)

    Google Scholar 

  • Singh, H.P., Vishwakarma, G.K.: A general class of estimators in successive sampling. Metron LXV(2):201-227 (2007)

  • Singh, G. N., Homa, F.: Effective rotation patterns in successive sampling over two occasions. Journal of statistical theory and practice 7:146-155 (2013)

  • Singh, G.N., Priyanka, K.: Search of good rotation patterns to improve the precision of estimates at current occasion. Commun. Stat.- Theory Methods 37(3), 337–348 (2008)

    Article  Google Scholar 

  • Singh, G.N., Karna, J.P.: Estimation of population mean on current occasion in two-occasion successive sampling. Metron 67(1), 69–85 (2009)

    Google Scholar 

  • Singh, H.P., Vishwakarma, G.K.: A general procedure for estimating population mean in successive sampling. Commun. Stat.-Theory Methods 38, 293–308 (2009)

    Article  Google Scholar 

  • Singh, H.P., Pal, S.K.: Search of good rotation patterns through exponential type regression estimator in successive sampling over two occasions. Ital. Jour. Pure. Appl. Math 36, 567–582 (2016)

    Google Scholar 

  • Singh, G.N., Prasad, S.: Best linear unbiased estimators of population mean on current occasion in two-occasion successive sampling. Stat. Trans.-New Ser. 14(1), 57–74 (2013)

    Google Scholar 

  • Singh, G.N., Sharma, A.K.: Estimation of population mean on current occasion using multiple auxiliary information in h-occasion successive sampling. J. Stat. Appl. Probab. Lett. 3(1), 19–27 (2016)

    Google Scholar 

  • Sukhatme, P.V., Sukhatme, B.V., Sukhatme, S., Ashok, C.: Sampling Theory of Surveys with Applications. Iowa State University Press, Ames, IA (1984)

    Google Scholar 

  • Venables, W.N., Ripley, B.D.: Modern Applied Statistics with S, 4th edn. Springer, New York (2002)

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Correspondence to Shailja Pandey.

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Bhushan, S., Pandey, S. An effective computational and simulation study for population mean estimation on current occasion. Qual Quant (2024). https://doi.org/10.1007/s11135-024-01928-4

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