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Journals / Erciyes Üniversitesi Fen Bilimleri Enstitüsü Dergisi / 2020 / Cilt: 36 - Sayı: 3

Improvement in Exponential Estimators of Population Mean using Information on Auxiliary Attribute

Yardımcı Niteliğe İlişkin Bilgi Kullanılarak Kitle Ortalamasının Üstel Tahmin Edicilerindeki Gelişme

Tolga ZAMAN
Pages
325–332
Publication Date
2022-10-18
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

In addition, these results are supported by an application with original data sets.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This paper proposes new exponential estimators combining ratio estimators for estimate population mean of study variable using information about population proportion possessing certain attributes.
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Key Findings & Data:It is obtained mean square error (MSE) equations for all proposed ratio exponential estimators and is shown that all proposed exponential estimators are always more efficient than the ratio estimators.
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Conclusion & Impact:In addition, these results are supported by an application with original data sets.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

This paper proposes new exponential estimators combining ratio estimators for estimate population mean of study variable using information about population proportion possessing certain attributes. It is obtained mean square error (MSE) equations for all proposed ratio exponential estimators and is shown that all proposed exponential estimators are always more efficient than the ratio estimators. In addition, these results are supported by an application with original data sets.

Özet

Bu makale, belli özelliğe sahip olan kitle oranı hakkındaki bilgiyi kullanarak çalışma değişkeninin ortalama tahmini için önerilen tahmin edicileri birleştiren yeni üstel tahminciler önermektedir. Önerilen tüm üstel tahmin ediciler için hata kareler ortalaması (HKO) denklemleri elde edilmiştir ve önerilen bütün üstel tahmin edicilerin, oran tahmincilerinden her zaman daha verimli olduğu gösterilmiştir. Ek olarak, bu sonuçlar orijinal veri setleri içeren bir uygulama tarafından desteklenmektedir.

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Cite This Article

ZAMAN, T. (2022). Improvement in Exponential Estimators of Population Mean using Information on Auxiliary Attribute. Erciyes Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Cilt: 36 - Sayı: 3, 325–332. https://ajindex.com/articles/503229

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References (13)

  1. Naik, V.D., Gupta, P.C. 1996. A note on estimation of mean with known population proportion of an auxiliary character. Jour. Ind. Soc. Agr. Stat., 48 (2), 151-158
  2. Jhajj, H. S., Sharma, M. K., Grover, L. K. 2006. A family of estimators of population mean using information on auxiliary attribute. Pakistan Journal of Statistics-All Series-, 22(1), 43
  3. Shabbir, J., Gupta, S. 2010. Estimation of the finite population mean in two phase sampling when auxiliary variables are attributes. Hacettepe Journal of Mathematics and Statistics, 39(1), 121-129
  4. Koyuncu, N. 2012. Efficient estimators of population mean using auxiliary attributes. Applied Mathematics and Computation, 218(22), 10900-10905
  5. Malik, S., Singh, R. 2013. An improved estimator using two auxiliary attributes. Applied mathematics and computation, 219(23), 10983-10986
  6. Zaman, T. 2018. New family of estimators using two auxiliary attributes. International Journal of Advanced Research I Engineering & Management (IJAREM), 4(11), 11-16
  7. Zaman, T. 2018. Modified Ratio Estimators Using Coefficient of Skewness of Auxiliary Attribute. International Journal of Modern Mathematical Sciences, 16(2), 87-95
  8. Zaman, T., Kadilar, C. 2019. New class of exponential estimators for finite population mean in two-phase sampling. Communications in Statistics-Theory and Methods, 1-16
  9. Bahl, S., Tuteja, R.K. 1991. Ratio and product type exponential estimator, Information and Optimization Sciences XII (I), 159-163, 1991
  10. Zaman, T., Kadilar, C. 2019. Novel family of exponential estimators using information of auxiliary attribute. Journal of Statistics and Management Systems, 1-11
  11. Kadilar C., Cingi, H. 2006. Improvement in estimating the population mean in simple random sampling. Applied Mathematics Letters. 19. 75-79 [12] Singh, R., Chauhan, P., Sawan, N., Smarandache, F. 2007. Ratio-product type exponential estimator for estimating finite population mean using information on auxiliary attribute. in “Auxiliary Information and a Priori Values in Construction of Improved Estimators” edited by Singh, R., Chauhan, P., Sawan, N. and Smarandache, F., Renaissance High Press, 18-32
  12. Zaman, T., Saglam, V., Sagir, M., Yucesoy, E., Zobu, M. 2014. Investigation of some estimators via Taylor series approach and an application. American Journal of Theoretical and Applied Statistics, 3(5), 141-147
  13. Sukhatme, P.V.1957. Sampling theory of surveys with applications. The Indian Society of Ag