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A class of estimators in median ranked set sampling

Yıl 2019, Cilt: 12 Sayı: 2, 58 - 71, 30.12.2019

Öz

In this paper we have proposed a general class of estimators under median ranked set sampling (MRSS) both
one auxiliary and multi-auxiliary variables are known. The mean square error (MSE) and bias formulas are
derived by theoretically. We have conducted a simulation study to see the performance of proposed
estimators. Also it is shown that the proposed estimators are always more efficient than existing estimators by
theoretically. From simulation study we can say that suggested class of estimator performs better than AlOmari [1] estimator and conclude that regression type estimator gives always more efficient results than AlOmari [1] estimator.

Kaynakça

  • 1. Al-Saleh, M.F. and Al-Omari, A.I. (2002). Multistage ranked set sampling. Journal of Statistical Planning and Inference, 102, 273-286. 2. Jemain, A.A. and Al-Omari, A.I. (2006). Multistage median ranked set samples for estimating the population mean. Pakistan Journal of Statistics, 22, 195-207.3. Jemain, A.A., Al-Omari, A.I. and Ibrahim, K. (2007). Multistage extreme ranked set sampling for estimating the population mean. Journal of Statistical Theory and Application, 6, 4, 456-471. 4. Ozturk, O. and Jafari Jozani, M. (2014). Inclusion probabilities in partially rank ordered set sampling. Computational Statistics and Data Analysis, 69, 122-132.5. Amiri, S., Modarres R. and Bhoj D.S. (2015). Ranked set sampling with random subsamples. Journal of Statistical Computation and Simulation, 85, 5, 935-946. 6. Al-Omari, A.I. and Al-Nasser, A.D. (2012). On the population median estimation using robust extreme ranked set sampling. Monte Carlo Methods and Applications, 18, 2, 109-118. 7. Al-Omari, A.I. and Raqab, M.Z. (2013). Estimation of the population mean and median using truncation-based ranked set samples. Journal of Statistical Computation and Simulation, 83, 8, 1453-1471. 8. Haq, A., Brown, J., Moltchanova, E. and Al-Omari, A.I. (2013). Partial ranked set sampling design. Environmetrics, 24, 3, 201-207. 9. Haq, A., Brown, J., Moltchanova, E. and Al-Omari, A.I. (2014). Mixed ranked set sampling design. Journal of Applied Statistics, 41, 10, 2141-2156. 10. Bhoj, D.S. and Kushary, D. (2014). Ranked set sampling with unequal samples and unequal replications. Pakistan Journal of Statistics, 30, 3, 351-362. 11. Bhoj, D.S. and Kushary, D. (2016). Ranked set sampling with unequal samples for skew distributions. Journal of Statistical Computation and Simulation, 86, 4, 676-681. 12. Samuh, M.H. and Qtait, A. (2015). Estimation for the parameters of the exponentiated exponential distribution using a median ranked set sampling. Journal of Modern Applied Statistical Methods, 14, 1, 215-237.13. Omar, A. and Ibrahim, K. (2013). Estimation of the shape and scale parameters of the pareto distribution using extreme ranked set sampling. Pakistan Journal of Statistics, 29, 1, 33-47.14. Shabbir, J. and Gupta, S. (2015). A note on generalized exponential type estimator for population variance in survey sampling. Revista Colombiana de Estadistica, 38, 2, 385-397.15. Gupta, S. and Shabbir, J. (2015). Estimation of finite population mean in stratified random sampling with two auxiliary variables under double sampling design. Communications in Statistics - Theory and Methods, 44, 13, 2798-2808 16. Shabbir, J., Haq, A. and Gupta, S. (2014). A new difference-cum-exponential type estimator of finite population mean in simple random sampling. Revista Colombiana de Estadistica, 37, 1, 197-209. 17. Al-Omari, A. I. (2012). Ratio estimation of the population mean using auxiliary information in simple random sampling and median ranked set sampling. Statistics and Probability Letters, 82, 1883-1890. 18. Koyuncu, N. (2016). New difference-cum-ratio and exponential type estimators in median ranked set sampling. Hacettepe Journal of Mathematics and Statistics, 45, 1, 207-225. 19. Koyuncu, N. (2015). Ratio estimation of the population mean in extreme ranked set and double robust extreme ranked set sampling. International Journal of Agricultural and Statistical Sciences, 11, 1, 21-28. 20. Srivastava, S.K. and Jhajj, S.K. (1980). A class of estimators using auxiliary information for estimating finite population variance. Sankhya, C, 42, 87-96. 21. Srivastava, S.K. (1980). A class of estimator using auxiliary information in sample surveys. Canadian Journal of Statistics, 8, 253-254.22. Koyuncu, N. and Kadilar, C. (2010). On improvement in estimating population mean in stratified random sampling. Journal of Applied Statistics, 37, 6, 999-1013.

Medyan sıralı küme örneklemesinde tahmin ediciler sınıfı

Yıl 2019, Cilt: 12 Sayı: 2, 58 - 71, 30.12.2019

Öz

Bu çalışmada, medyan sıralı küme örneklemesi (MSKÖ) altında hem bir
yardımcı değişken hem de birden çok yardımcı değişken bilinmesi durumunda genel
bir tahmin edici sınıfı önerilmiştir. Hata kareler ortalaması (HKO) ve yanlılık
formülleri teorik olarak elde edilmiştir. Önerilen tahmin edicilerin
performansını görmek için bir benzetim çalışması yapılmıştır. Ayrıca önerilen
tahmin edicilerin mevcut tahmin edicilerden her zaman daha etkin olduğu teorik
olarak gösterilmiştir. Benzetim çalışmasından, önerilen tahmin edici sınıfının
Al-Omari [1] tahmin edicisinden daha iyi performans gösterdiği söylenebilir ve
regresyon tipi tahmin edicinin, Al-Omari[1]  tahmin edicisinden her zaman daha etkin
sonuçlar verdiği sonucuna varılabilir

Kaynakça

  • 1. Al-Saleh, M.F. and Al-Omari, A.I. (2002). Multistage ranked set sampling. Journal of Statistical Planning and Inference, 102, 273-286. 2. Jemain, A.A. and Al-Omari, A.I. (2006). Multistage median ranked set samples for estimating the population mean. Pakistan Journal of Statistics, 22, 195-207.3. Jemain, A.A., Al-Omari, A.I. and Ibrahim, K. (2007). Multistage extreme ranked set sampling for estimating the population mean. Journal of Statistical Theory and Application, 6, 4, 456-471. 4. Ozturk, O. and Jafari Jozani, M. (2014). Inclusion probabilities in partially rank ordered set sampling. Computational Statistics and Data Analysis, 69, 122-132.5. Amiri, S., Modarres R. and Bhoj D.S. (2015). Ranked set sampling with random subsamples. Journal of Statistical Computation and Simulation, 85, 5, 935-946. 6. Al-Omari, A.I. and Al-Nasser, A.D. (2012). On the population median estimation using robust extreme ranked set sampling. Monte Carlo Methods and Applications, 18, 2, 109-118. 7. Al-Omari, A.I. and Raqab, M.Z. (2013). Estimation of the population mean and median using truncation-based ranked set samples. Journal of Statistical Computation and Simulation, 83, 8, 1453-1471. 8. Haq, A., Brown, J., Moltchanova, E. and Al-Omari, A.I. (2013). Partial ranked set sampling design. Environmetrics, 24, 3, 201-207. 9. Haq, A., Brown, J., Moltchanova, E. and Al-Omari, A.I. (2014). Mixed ranked set sampling design. Journal of Applied Statistics, 41, 10, 2141-2156. 10. Bhoj, D.S. and Kushary, D. (2014). Ranked set sampling with unequal samples and unequal replications. Pakistan Journal of Statistics, 30, 3, 351-362. 11. Bhoj, D.S. and Kushary, D. (2016). Ranked set sampling with unequal samples for skew distributions. Journal of Statistical Computation and Simulation, 86, 4, 676-681. 12. Samuh, M.H. and Qtait, A. (2015). Estimation for the parameters of the exponentiated exponential distribution using a median ranked set sampling. Journal of Modern Applied Statistical Methods, 14, 1, 215-237.13. Omar, A. and Ibrahim, K. (2013). Estimation of the shape and scale parameters of the pareto distribution using extreme ranked set sampling. Pakistan Journal of Statistics, 29, 1, 33-47.14. Shabbir, J. and Gupta, S. (2015). A note on generalized exponential type estimator for population variance in survey sampling. Revista Colombiana de Estadistica, 38, 2, 385-397.15. Gupta, S. and Shabbir, J. (2015). Estimation of finite population mean in stratified random sampling with two auxiliary variables under double sampling design. Communications in Statistics - Theory and Methods, 44, 13, 2798-2808 16. Shabbir, J., Haq, A. and Gupta, S. (2014). A new difference-cum-exponential type estimator of finite population mean in simple random sampling. Revista Colombiana de Estadistica, 37, 1, 197-209. 17. Al-Omari, A. I. (2012). Ratio estimation of the population mean using auxiliary information in simple random sampling and median ranked set sampling. Statistics and Probability Letters, 82, 1883-1890. 18. Koyuncu, N. (2016). New difference-cum-ratio and exponential type estimators in median ranked set sampling. Hacettepe Journal of Mathematics and Statistics, 45, 1, 207-225. 19. Koyuncu, N. (2015). Ratio estimation of the population mean in extreme ranked set and double robust extreme ranked set sampling. International Journal of Agricultural and Statistical Sciences, 11, 1, 21-28. 20. Srivastava, S.K. and Jhajj, S.K. (1980). A class of estimators using auxiliary information for estimating finite population variance. Sankhya, C, 42, 87-96. 21. Srivastava, S.K. (1980). A class of estimator using auxiliary information in sample surveys. Canadian Journal of Statistics, 8, 253-254.22. Koyuncu, N. and Kadilar, C. (2010). On improvement in estimating population mean in stratified random sampling. Journal of Applied Statistics, 37, 6, 999-1013.
Toplam 1 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Makaleler
Yazarlar

Nursel Koyuncu 0000-0003-1065-3411

Yayımlanma Tarihi 30 Aralık 2019
Yayımlandığı Sayı Yıl 2019 Cilt: 12 Sayı: 2

Kaynak Göster

IEEE N. Koyuncu, “A class of estimators in median ranked set sampling”, JSSA, c. 12, sy. 2, ss. 58–71, 2019.