Heuristical Approach for Optimizing Population Mean Using Ratio Estimator in Stratified Random Sampling

Authors

  • G. R. V. Triveni Department of Mathematics, School of Advanced Sciences, VIT-AP University, Inavolu, Beside AP Secretariat, Amaravati AP-522237, India
  • Faizan Danish Department of Mathematics, School of Advanced Sciences, VIT-AP University, Inavolu, Beside AP Secretariat, Amaravati AP-522237, India

DOI:

https://doi.org/10.13052/jrss0974-8024.1617

Keywords:

Relative effciency, Bias, mean square error, Stratified sampling, Taylors series, ratio estimators

Abstract

In this study, we have developed a Ratio type estimator in Stratified sampling to estimate the population average of study variable by using the information of a concomitant variable. By utilizing Taylor’s series, we have derived the expressions for Bias and MSE upto first degree of approximation. In numerical illustration, employing a real data set, we have demonstrated that the proposed estimator has highest Percentage relative efficiency when compared to the considered existing estimatrs. Furthermore, we have demonstrated that Separate ratio type estimators have the highest relative efficiency when contrasted with the Combined ratio type estimators.

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Author Biographies

G. R. V. Triveni , Department of Mathematics, School of Advanced Sciences, VIT-AP University, Inavolu, Beside AP Secretariat, Amaravati AP-522237, India

G. R. V. Triveni currently a Ph.D Research Scholar in the Department of Mathematics, School of Advanced Sciences, VIT-AP University, Amaravati, Andhra Pradesh, India. Her Research area is Sampling theory. She had done M.Sc from Andhra University, Andhra Pradesh. She possessed a limited knowledge of R software.

Faizan Danish, Department of Mathematics, School of Advanced Sciences, VIT-AP University, Inavolu, Beside AP Secretariat, Amaravati AP-522237, India

Faizan Danish is currently working as an Assistant Professor (Statistics) in VIT-AP University, Vijayawada Andhra Pradesh, India and has done Ph.D. from Sher-e-Kashmir University of Agricultural Sciences and Technology of Jammu, J&K, India. He has worked as Postdoctoral Fellow in New York University, New York, USA. Dr. Danish has around 3 years of Teaching experience and published around 25 research papers in reputed journals. Further, he has worked as Biostatistician under Research Consultation Services, Doha Qatar. He has research expertise in Sampling Theory, Mathematical, Applied Statistics and Biostatistics. Dr. Danish is well versed with Statistical Software’s: R, STATA, SPSS, Fortran 77, O.P STAT, WINDOSTAT, Mathematica.

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Published

2023-11-20

How to Cite

Triveni , G. R. V. ., & Danish, F. . (2023). Heuristical Approach for Optimizing Population Mean Using Ratio Estimator in Stratified Random Sampling. Journal of Reliability and Statistical Studies, 16(01), 137–152. https://doi.org/10.13052/jrss0974-8024.1617

Issue

2023: Vol 16 Iss 1

Section

Articles