KaydedilenlerDerginizi ekleyin

Dergiler / Gazi University Journal of Science Part A: Engineering and Innovation / 2023 / Volume: 10 Issue: 4

An Improvement in Estimating the Population Mean Based on Family of Estimators with Different Application Areas

Ceren Ünal(Hacettepe University)0000-0002-9357-1771
Cem Kadılar(HACETTEPE UNIVERSITY)0000-0003-4950-9660
Sayfa
—
Yayın Tarihi
2023-12-31
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Moreover, the three different empirical studies are illustrated and, in that way, we found that the theoretical conclusion is supported by the obtained results numerically for each data set.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In a sampling study, the complete information for the necessary variables may not always be available in practice.
📊
Temel Bulgular & Veri:Therefore, the non-response situation has been considered for estimating the unknown population parameters with different types of estimators.
💡
Sonuç & Katkı:Moreover, the three different empirical studies are illustrated and, in that way, we found that the theoretical conclusion is supported by the obtained results numerically for each data set.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Population Mean · Family of Estimators · Auxiliary Information

Abstract

In a sampling study, the complete information for the necessary variables may not always be available in practice. Therefore, the non-response situation has been considered for estimating the unknown population parameters with different types of estimators. The families of estimators are proposed for the population mean in the case of non-response under two different cases with the approach of an exponential function. Their properties are derived in detail. We compare these estimators with the main estimators in the literature to present the efficiencies, theoretically. Moreover, the three different empirical studies are illustrated and, in that way, we found that the theoretical conclusion is supported by the obtained results numerically for each data set.

🔖

Bu Makaleye Atıf Yap

Ünal, C., Kadılar, C. (2023). An Improvement in Estimating the Population Mean Based on Family of Estimators with Different Application Areas. Gazi University Journal of Science Part A: Engineering and Innovation, Volume: 10 Issue: 4. https://doi.org/10.54287/gujsa.1333067

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (48)

  1. Ahmad, S., Arslan, M., Khan, A., & Shabbir, J. (2021). A generalized exponential-type estimator for population mean using auxiliary attributes. Plos One, 16(5), e0246947. https://www.doi.org/10.1371/journal.pone.0246947
  2. Ahmad, S., Hussain, S., Aamir, M., Khan, F., Alshahrani, M. N., & Alqawba, M. (2022). Estimation of finite population mean using dual auxiliary variable for non-response using simple random sampling. Aims Mathematics, 793, 4592-4613. https://www.doi.org/10.3934/math.2022256
  3. Ahmadini, A. A. H., Yadav, T., Yadav, S. K., & Al Luhayb, A. S. M. (2022). Restructured searls family of estimators of population mean in the presence of nonresponse. Frontiers in Applied Mathematics and Statistics, 8, 969068. https://www.doi.org/10.3389/fams.2022.969068
  4. Anieting, A. E., Enang, E. I., & Onwukwe, C. E. (2020). Efficient estimator for Population mean in stratified double sampling in the presence of nonresponse using one auxiliary variable. Statistics, 4(2), 40-50. https://www.doi.org/10.52589/AJMSS-YF4V11QV
  5. Bahl, S., & Tuteja, R. K. (1991). Ratio and product type exponential estimators. Journal of Information and Optimization Sciences, 12(1), 159-164. https://www.doi.org/10.1080/02522667.1991.10699058
  6. Cochran, W. G. (1940). The estimation of the yields of the cereal experiments by sampling for the ratio of grain to total produce. The Journal of Agricultural Science, 30(2), 262-275. https://www.doi.org/10.1017/S0021859600048012
  7. Cochran, W. G. (1977) Sampling Techniques. John Wiley and Sons, New-York
  8. Dansawad, N. (2019). A class of exponential estimator to estimate the population mean in the presence of non-response. Naresuan University Journal: Science and Technology, 27(4), 20-26. https://www.doi.org/10.14456/nujst.2019.33
  9. Fatima, M., Shahbaz, S. H., Hanif, M., & Shahbaz, M. Q. (2022). A modified regression-cum-ratio estimator for finite population mean in presence of nonresponse using ranked set sampling. AIMS Mathematics, 7(4), 6478-6488. https://www.doi.org/10.3934/math.2022361
  10. Hansen, M. H., & Hurwitz, W. N. (1946). The problem of non-response in sample surveys. Journal of the American Statistical Association, 41(236), 517-529. https://www.doi.org/10.1080/01621459.1946.10501894
  11. Javed, M., Irfan, M., & Pang, T. (2019). Hartley-Ross type unbiased estimators of population mean using two auxiliary variables. Scientia Iranica, 26(6), 3835-3845. https://www.doi.org/10.24200/sci.2018.5648.1397
  12. Khare, B. B., & Sinha, R. R. (2009). On class of estimators for population mean using multi-auxiliary characters in the presence of non-response. Statistics in Transition, 10(1), 3-14.
  13. Khare, B. B., & Srivastava, S. (1993). Estimation of population mean using auxiliary character in presence of non-response. National Academy Science Letters, 16, 111-114.
  14. Khan, A., Ali, A., Ijaz, M., Azeem, M., & El-Morshedy, M. (2023). An exponential ratio type estimator of the population mean in the presence of non-response using double sampling. Journal of Statistics Applications and Probability, 12(1), 191-205. https://www.doi.org/10.18576/jsap/120118
  15. Khoshnevisan, M., Singh, R., Chauhan, P., Sawan, N., & Smarandache, F. (2007). A general family of estimators for estimating population mean using known value of some population parameter(s). Far East Journal of Theoretical Statistics, 22, 181-191.
  16. Kumar, S. (2013). Improved exponential estimator for estimating the population mean in the presence of non-response. Communications for Statistical Applications and Methods, 20(5), 357-366. https://www.doi.org/10.5351/CSAM.2013.20.5.357
  17. Kumar, S, & Bhougal, S. (2011). Estimation of the population mean in presence of non-response. Communications for Statistical Applications and Methods, 18(4), 537-548. https://www.doi.org/10.5351/CKSS.2011.18.4.537
  18. Kumar, K., & Kumar, M. (2017). Improved exponential ratio and product type estimators for population mean in the presence of nonresponse. Bulletin of Mathematics and Statistics Research, 5(2), 68-76.
  19. Mehta, P., & Tailor, R. (2020). Chain ratio type estimators using known parameters of auxiliary variates in double sampling. Journal of Reliability and Statistical Studies, 13(2-4), 243-252. https://www.doi.org/10.13052/jrss0974-8024.13242
  20. Oncel Cekim, H., & Kadilar, C. (2018). New families of unbiased estimators in stratified random sampling. Journal of Statistics and Management Systems, 21(8), 1481-1499. https://www.doi.org/10.1080/09720510.2018.1530176
  21. Oncel Cekim, H. (2022). Modified unbiased estimators for population variance: An application for COVID‐19 deaths in Russia. Concurrency and Computation: Practice and Experience, 34(22), e7169. https://www.doi.org/10.1002/cpe.7169
  22. Özel Kadilar, G. (2016). A new exponential type estimator for the population mean in simple random sampling. Journal of Modern Applied Statistical Methods, 15(2), 207-214. http://www.doi.org/10.22237/jmasm/1478002380
  23. Pal, S. K., & Singh, H. P. (2017). A class of ratio-cum-ratio-type exponential estimators for population mean with sub sampling the nonrespondents. Jordan Journal of Mathematics and Statistics, 10(1), 73-94.
  24. Pal, S. K., & Singh, H. P. (2018). Estimation of finite population mean using auxiliary information in presence of non-response. Communications in Statistics-Simulation and Computation, 47(1), 143-165. https://www.doi.org/10.1080/03610918.2017.1280161
  25. Rao, P. S. R. S. (1986). Ratio estimation with sub sampling the non-respondents. Survey Methodology, 12(2), 217-230.
  26. Rehman, S. A., & Shabbir, J. (2022). An efficient class of estimators for finite population mean in the presence of non-response under ranked set sampling (RSS). Plos One, 17(12), e0277232. https://www.doi.org/10.1371/journal.pone.0277232
  27. Sanaullah, A., Ehsan, I., & Noor-Ul-Amin, M. (2019). Estimation of mean for a finite population using sub-sampling of non-respondents. Journal of Statistics and Management Systems, 22(6), 1015-1035. https://www.doi.org/10.1080/09720510.2019.1572981
  28. Satici, E., & Kadilar, C. (2011). Ratio estimator for the population mean at the current occasion in the presence of non-response in successive sampling. Hacettepe Journal of Mathematics and Statistics, 40(1), 115-124.
  29. Shabbir, J., Haq, A., & Gupta, S. (2014). A new difference-cum-exponential type estimator of finite population mean in simple random sampling. Revista Colombiana de Estadística, 37(1), 199-211. https://www.doi.org/10.15446/rce.v37n1.44366
  30. Shabbir, J., & Onyango, R. (2022). Use of an efficient unbiased estimator for finite population mean. Plos One, 17(7), e0270277. https://www.doi.org/10.1371/journal.pone.0270277
  31. Sharma, P., Pal, S. K., & Singh, H. P. (2022). Improved estimators of population mean under nonresponse in successive sampling. Mathematical Problems in Engineering, 2022(1), 1-8. https://www.doi.org/10.1155/2022/1349689
  32. Singh, R., Chauhan, P., & Sawan, N. (2008). On linear combination of ratio and product type exponential estimator for estimating the finite population mean. Statistics in Transition - New Series, 9, 105-115.
  33. Singh, R., Kumar, M., Chaudhary, M. K., & Smarandache, F. (2010). Estimation of mean in presence of non-response using exponential estimator. Multispace & Multistructure Neutrosophic Transdisciplinarity (100 Collected Papers of Sciences), (vol IV, pp. 758-768). https://doi.org/10.48550/arXiv.0906.2462
  34. Singh, H. P., & Nigam, P. (2020). Ratio-Ratio-Type exponential estimator of finite population mean in double sampling for stratification. International Journal of Agricultural and Statistical Science, 16(1), 251-257.
  35. Singh, G. N., & Usman, M. (2019a). Ratio-to-product exponential-type estimators under non-response. Jordan Journal of Mathematics and Statistics, 12(4), 593-616.
  36. Singh, G. N., & Usman, M. (2019b). Efficient combination of various estimators in the presence of non-response. Communications in Statistics Simulation and Computation, 50(8), 2432-2466. https://www.doi.org/10.1080/03610918.2019.1614618
  37. Tailor, R., & Lone, H. A. (2014). Separate ratio-type estimators of population mean in stratified random sampling. Journal of Modern Applied Statistical Methods, 13(1), 223-233. https://www.doi.org/10.22237/jmasm/1398917580
  38. Unal, C., & Kadilar, C. (2019). Exponential type estimator for the population mean in the presence of non-response. Journal of Statistics and Management Systems, 23(3), 603-615. https://www.doi.org/10.1080/09720510.2019.1668158
  39. Unal, C., & Kadilar, C. (2021). Improved family of estimators using exponential function for the population mean in the presence of nonresponse. Communications in Statistics - Theory and Methods, 50(1), 237-248. https://www.doi.org/10.1080/03610926.2019.1634818
  40. Unal, C., & Kadilar, C. (2022a). A new population mean estimator under non-response cases. Journal of Taibah University for Science, 16(1), 111-119. https://www.doi.org/10.1080/16583655.2022.2034343
  41. Unal, C., & Kadilar, C. (2022b). Exponential type estimators using sub-sampling method with applications in agriculture. Journal of Agricultural Sciences (Tarim Bilimleri Dergisi), 28(3), 457-472. https://www.doi.org/10.15832/ankutbd.915999
  42. Yadav, S. K., Sharma, D. K., & Mishra, S. S. (2021). New modified ratio type estimator of the population mean using the known median of the study variable. International Journal of Operational Research, 41(2), 151-167. https://www.doi.org/10.1504/IJOR.2021.115625
  43. Yadav, S. K., & Zaman, T. (2021). Use of some conventional and non-conventional parameters for improving the efficiency of ratio-type estimators. Journal of Statistics and Management Systems, 24(5), 1077-1100. https://www.doi.org/10.1080/09720510.2020.1864939
  44. Yunusa, O., & Kumar, S. (2014). Ratio-cum-product estimator using exponential estimator in the presence of non-response. Journal of Advanced Computing, 3(1), 1-11. https://www.doi.org/10.7726/jac.2014.1001
  45. Zahid, S., Kamal, A., & Makhdum, M. (2022). Generalized Dual to Exponential Ratio Type Estimator for the Finite Population Mean in the Presence of Nonresponse. In: O. O. Awe, K. Love, & E. A. Vance (Eds.), Promoting Statistical Practice and Collaboration in Developing Countries (2nd ed., pp. 249-263). Chapman and Hall/CRC. https://www.doi.org/10.1201/9781003261148
  46. Zaman, T., & Kadilar, C. (2019). Novel family of exponential estimators using information of auxiliary attribute. Journal of Statistics and Management Systems, 22(8), 1499-1509. https://www.doi.org/10.1080/09720510.2019.1621488
  47. Zaman, T., & Kadilar, C. (2021a). Exponential ratio and product type estimators of the mean in stratified two-phase sampling. AIMS Mathematics, 6(5), 4265-4279. https://www.doi.org/10.3934/math.2021252
  48. Zaman, T., & Kadilar, C. (2021b). New class of exponential estimators for finite population mean in two-phase sampling. Communications in Statistics-Theory and Methods, 50(4), 874-889. https://www.doi.org/10.1080/03610926.2019.1643480