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Computing the Population Mean in Stratified Sampling Using an Auxiliary Attribute

Abdullah A Zaagan, Mutum Zico Meetei, Shreyanshu Singh, Rajesh Gupta, Subhash Kumar Yadav, Mukesh Kumar Verma

Abstract


This paper proposes a novel ratio type estimator for the population mean using an auxiliary attribute by implying one auxiliary variable in stratified random sampling using conventional product, exponential, and logarithmic ratio type estimators. The proposed estimator’s MSE and PRE are determined, and PRE is compared with existing estimators. The proposed estimator is more effective than other existing estimators according to theoretical observations, which verifies its numerical examples. The proposed estimator may be used for practical applicability in real life, including agricultural sciences, biological sciences, commercial sciences, economic sciences, engineering sciences, medical sciences, social sciences etc.


Keywords


Study Variable; Auxiliary Attribute; Ratio Type Estimators; PRE

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References


1. Cochran W G. The estimation of the yields of cereal experiments by sampling for the ratio of grain to total produce. The Journal of Agricultural Science 1940; 30(2): 262-275.

2. Srivastava S K. A class of estimators using auxiliary information in sample surveys. Canadian Journal of Statistics 1980; 8(2): 253-254.

3. Sisodia J, Scientist B V S, Dwivedi J V K. A class of ratio-cum-product-type estimator. Biometrical Journal 1981; 23(2): 133-139.

4. Bahl S, Tuteja R K. Ratio and product type estimator. Journal of Information and Optimization Sciences 1991; 9: 159-163.

5. Singh P, Vishwakarma K. Modified exponential ratio and product estimators for finite population mean in double sampling. Australian Journal of Statistics 2007; 36: 217-225.

6. Koyuncu N. Families of estimators for population mean using in-formation on auxiliary attribute in stratified random sampling. Gazi University Journal of Science 2013; 26(2): 181-193.

7. Haq A, Shabbir J. Improved family of ratio estimators in simple and stratified random sampling. Communications in Statistics-Theory and Methods 2013; 42(5): 782-799.

8. Sanaullah A, Ali H A, ul Amin M N, et al. Generalized exponential chain ratio estimators under stratified two phase random sampling. Applied Mathematics and Computation 2014; 226:541-547.

9. Shabbir J, Gupta S. On generalized exponential chain ratio estimators under stratified two-phase random sampling. Communications in Statistics-Theory and Methods 2017; 46(6): 2910-2920.

10. Lone H A, Tailor R. Estimation of population variance in simple random sampling. Journal of Statistics and Management Systems 2017; 20(1): 17-38.

11. Cekim H O, Kadilar C. New families of unbiased estimators in stratified random sampling. Journal of Statistics and Management Systems 2018; 21(8): 1481-1499.

12. Yadav S K, Mishra S S, Gupta S. An efficient estimator for population variance using parameters of an auxiliary variable. Journal of Statistics and Management Systems 2019; 22(6): 1005-1013.

13. Zaman T. Efficient estimators of population mean using auxiliary attribute in stratified random sampling. Advances and Applications in Statistics 2019; 56(2): 153-171.

14. Zaman T, Kadilar C. On estimating the population mean using auxiliary character in stratified random sampling. Journal of Statistics and Management Systems 2020; 23(8): 1415-1426.

15. Yadav S K, Vishwakarma G K, Varshney R, et al. Improved memory type product estimator for population mean in stratified random sampling under linear cost function. SN Computer Science 2023; 4(3): 235.

16. Yadav S K, Arya D, Vishwakarma G K, et al. Generalized ratio-cum-exponential-log ratio type estimators of population mean under simple random sampling scheme. Lobachevskii Journal of Mathematics 2023; 44(9): 3889-3901.

17. Akintunde A A, Olayiwola O M, Adewole A I, et al. An improved estimation of population mean using auxiliary attribute in stratified sampling. Nigerian Journal of Pure Applied Sciences 2023; 36(1): 4463-471.

18. Yadav S K, Kumar Verma M, Varshney R. Optimal strategy for elevated estimation of population mean in stratified random sampling under linear cost function. Annals of Data Science 2024;11(2).https://doi.org/10.1007/s40745-024-00520-9

19. Koyuncu N, Kadilar C. Efficient estimators for the population mean. Hacettepe Journal of Mathematics and Statistics 2009; 38(2): 217-225.

20. Mathew O O, Sola A F, Oladiran B H, et al. Efficiency of Neyman allocation procedure over other allocation procedures in stratified random sampling. American Journal of Theoretical and Applied Statistics 2013; 2(5): 122-127.

21. Singh H P, Solanki R S. Improved estimation of population mean in simple random sampling using information on auxiliary attribute. Applied Mathematics and Computation 2012; 18(15): 7798-7812.

22. Singh H P, Gupta A, Tailor R. Efficient class of estimators for finite population mean using Auxiliary attribute in stratified random sampling. Scientific Reports 2023; 13(1): 10253.

23. Koyuncu N. Families of estimators for population mean using information on auxiliary attribute in stratified random sampling. Gazi University Journal of Science 2013; 26(2): 181-193.

24. Ahmadini A A H, Yadav T, Yadav S K, et al. Restructured searls family of estimators of Population mean in the presence of non-response. Frontiers in Applied Mathematics and Statistics 2022; 8: 969068




DOI: https://doi.org/10.32629/jai.v7i5.1672

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Copyright (c) 2024 Abdullah A Zaagan, Mutum Zico Meetei, Shreyanshu Singh, Rajesh Gupta, Subhash Kumar Yadav, Mukesh Kumar Verma

License URL: https://creativecommons.org/licenses/by-nc/4.0