MODIFICATION OF SEPARATE RATIO TYPE EXPONENTIAL ESTIMATOR: A POST-STRATIFICATION APPROACH

Authors

  • Adam Rabiu
    ABU
  • Abubakar Yahaya
    Ahmadu Bello University Zaria
  • Muhammad Abdulkarim
    Ahmadu Bello University Zaria

Keywords:

Ratio-Type estimator, Bias, Mean Square Error, Post-stratification.

Abstract

In this research, modification of separate ratio type exponential estimator introduced in an earlier study is proposed. Expressions for the bias and mean square error (MSE) of the proposed estimator up to first degree of approximation are derived. The optimum value of the constant which minimize the MSE of the suggested estimator is also obtained. In the same vein, efficiency comparisons between the proposed estimator and some related existing ones under the case of post-stratification is conducted. Empirical studies have been conducted to demonstrate the efficiencies of the suggested estimators over other considered estimators. The proposed MSE and Percentage Relative Efficiency (PRE) were used to evaluate the achievement of the modified estimator.

Dimensions

Agrawal,M.,&Panda, K. (1993). An efficient estimator in post stratification.Metron,51(3-4),179–187.

Bandyopadhyay,S. (1980). Improved ratio and product estimators. Sankhya,42(1-2),45–49.

Chouhan, S. (2012). Improved estimation of parameters using auxiliary information in sample surveys. Unpublished Ph.D.Thesis, VikramUniversity, Ujjain, MP India.

Gamze, Ö. (2015). Modified exponential type estimator for population mean using auxiliary variables in stratified randomsampling.AlphanumericJournal,3(2),49–56.

Holt, D.,and Smith, T. F. (1979). Post stratification. Journal of the Royal Statistical Society: SeriesA(General),142(1),33–46.

Ige,A.,and Tripathi,T. (1989). Estimating of population mean using post stratification and auxiliary information. Abacus,18(2),265–276.

Jagers, P., Oden, A.,anf Trulsson, L. (1985). Post-stratification and ratio estimation: usages of auxiliary information in survey sampling and opinion polls. International Statistical Review/Revue InternationaledeStatistique,221-238.

Johnston,J. P., Halleent, R.M.,&Lezius,D.K. (1972).Effects of span wise rotation on the structure of two-dimensional fully developed turbulent channel flow. Journal of FluidMechanics,56(3),533–557.

Lone,H.A.,and Tailor, R. (2014). Dual to separate ratio type exponential estimator in post-stratification. Journal of Statistics Applications&Probability,3(3),425.

Lone,H.A.,andTailor, R. (2015). Dual to separate product type exponential estimator in post-stratification. Journal of Statistics Applications&Probability,4(3),429.

Lone,H.A., Tailor, R., &Singh, H.P. (2016). Generalized ratio-cum-product type exponential estimator in stratified random sampling Communications in Statistics- TheoryandMethods,45(11),3302–3309.

Tailor, R., and Mishra, A. (2018). Ratio and ratio type separate estimator for population mean when coefficient of variation is known. JOURNAL OF RELIABILITY AND STATISTICAL STUDIES, 11(1),45–5

Singh,H.P.,&Espejo,M.R.(2003).Onlinearregressionandratio–productestimation of a finite population mean. Journal of the Royal Statistical Society: Series D(The Statistician),52(1),59–67.

Srivenkataramana,T. (1980). A dual to ratio estimator in sample surveys. Biometrika, 67(1),199–204.

Vishwakarma, G.K.,& Singh,H.P. (2011). Separate ratio-product estimator for estimating population mean using auxiliary information. Journal of Statistical Theory and ApplicationsISSN,1538,7887.

Published

10-07-2021

How to Cite

MODIFICATION OF SEPARATE RATIO TYPE EXPONENTIAL ESTIMATOR: A POST-STRATIFICATION APPROACH. (2021). FUDMA JOURNAL OF SCIENCES, 5(2), 404-412. https://doi.org/10.33003/fjs-2021-0502-629

Issue

Vol. 5 No. 2 (2021): FUDMA Journal of Sciences - Vol. 5 No. 2

Section

Research Articles
Copyright & Licensing

FUDMA Journal of Sciences

How to Cite

MODIFICATION OF SEPARATE RATIO TYPE EXPONENTIAL ESTIMATOR: A POST-STRATIFICATION APPROACH. (2021). FUDMA JOURNAL OF SCIENCES, 5(2), 404-412. https://doi.org/10.33003/fjs-2021-0502-629

Most read articles by the same author(s)