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A UNIFIED RANKED SET SAMPLING FOR ESTIMATING THE POPULATION MEAN

Yıl 2016, Cilt: 9 Sayı: 3, 107 - 118, 01.09.2016

Öz

a scheme various existing ranked set sampling schemes are combined in order to minimizing the error ofranking and cost of sampling. It is shown that the sample weighted mean of the proposed scheme is moreefficient than simple random sample mean. Also, assuming the underlying distribution is normal, the existenceand uniqueness of maximum likelihood estimator of the location parameter are investigated. The pairwiserelative precisions of the derived estimators are compared using simulation and numerical computations. Itis concluded that a combination of existing sampling schemes may be considered as a good suggestion withrather high efficiency. A cost analysis is also performed. Some conclusions are eventually stated

Kaynakça

  • Al-Odat, M.T. and Al-Saleh, M.F. (2001). A variation of ranked set sampling. Journal of Applied Sta- tistical Science, 10(2), 137–146.
  • Al-Omari, A.I. (2012). Ratio estimation of the population mean using auxiliary information in simple random sampling and median ranked set sampling. Statistics & Probability Letters, 82(11), 1883–1890.
  • Arnold, B.C., Balakrishnan, N., and Nagaraja, H.N. (2008). A First Course in Order Statistics. SIAM, New York.
  • Bickel, P.J. (1967). Some contributions to the theory of order statistics. Proceedings of the Fifth Berkeley Symposium on Mathematical Statistics and Probability, Volume 1: Statistics
  • Chen, W., Xie, M., and Wu, M. (2013). Parametric estimation for the scale parameter for scale distribu- tions using moving extremes ranked set sampling. Statistics & Probability Letters, 83(9), 2060–2066.
  • David, H.A and Nagaraja, H.N. (2003). Order Statistics. Wiley, New York.
  • Hussein, A., Muttlak, H.A. and Saleh, M. (2013). Group sequential comparison of two binomial propor- tions under ranked set sampling design. Computational Statistics, 28(3), 1169–1194.
  • Kadilar, C., Unyazici, Y., and Cingi, H. (2009). Ratio estimator for the population mean using ranked set sampling. Statistical Papers, 50(2), 301–309.
  • McIntyre, G.A. (1952). A method for unbiased selective sampling, using ranked sets. Crop and Pasture Science, 3(4), 385–390.
  • Muttlak, H.A. (1997). Median ranked set sampling. Journal of Applied Statistical Sciences, 6(4), 245– 255.
  • Nahhas, R.W., Wolfe, D.A. and Chen, H. (2002). Ranked set sampling: cost and optimal set size. Biometrics, 58(4), 964–971.
  • Salehi, M., Ahmadi, J. and Balakrishnan, N. (2015). Prediction of order statistics and record values based on ordered ranked set sampling. Journal of Statistical Computation and Simulation, 85(1), 77–85.
  • Samawi, H.M., Ahmed, M.S., and Abu-Dayyeh, W. (1996). Estimating the population mean using extreme ranked set sampling. Biometrical Journal, 38(5), 577–586.
  • Samawi, H.M. and Muttlak, H.A. (1996). Estimation of ratio using rank set sampling. Biometrical Journal, 38(6), 753–764.
  • Samawi, H.M. and Al-Sagheer, O.A.M. (2001). On the estimation of the distribution function using extreme and median ranked set sampling. Biometrical Journal, 43(3), 357–373.
  • Singh, H.P., Tailor, R., and Singh, S. (2014). General procedure for estimating the population mean using ranked set sampling. Journal of Statistical Computation and Simulation, 84(5), 931–945.
  • Takahasi, K. and Wakimoto, K. (1968). On unbiased estimates of the population mean based on the sample stratified by means of ordering. Annals of the Institute of Statistical Mathematics, 20(1), 1–38.
  • Wang, Y., Chen, Z., and Liu, J. (2004). General ranked set sampling with cost considerations. Biomet- rics, 60(2), 556–561.
Yıl 2016, Cilt: 9 Sayı: 3, 107 - 118, 01.09.2016

Öz

Kaynakça

  • Al-Odat, M.T. and Al-Saleh, M.F. (2001). A variation of ranked set sampling. Journal of Applied Sta- tistical Science, 10(2), 137–146.
  • Al-Omari, A.I. (2012). Ratio estimation of the population mean using auxiliary information in simple random sampling and median ranked set sampling. Statistics & Probability Letters, 82(11), 1883–1890.
  • Arnold, B.C., Balakrishnan, N., and Nagaraja, H.N. (2008). A First Course in Order Statistics. SIAM, New York.
  • Bickel, P.J. (1967). Some contributions to the theory of order statistics. Proceedings of the Fifth Berkeley Symposium on Mathematical Statistics and Probability, Volume 1: Statistics
  • Chen, W., Xie, M., and Wu, M. (2013). Parametric estimation for the scale parameter for scale distribu- tions using moving extremes ranked set sampling. Statistics & Probability Letters, 83(9), 2060–2066.
  • David, H.A and Nagaraja, H.N. (2003). Order Statistics. Wiley, New York.
  • Hussein, A., Muttlak, H.A. and Saleh, M. (2013). Group sequential comparison of two binomial propor- tions under ranked set sampling design. Computational Statistics, 28(3), 1169–1194.
  • Kadilar, C., Unyazici, Y., and Cingi, H. (2009). Ratio estimator for the population mean using ranked set sampling. Statistical Papers, 50(2), 301–309.
  • McIntyre, G.A. (1952). A method for unbiased selective sampling, using ranked sets. Crop and Pasture Science, 3(4), 385–390.
  • Muttlak, H.A. (1997). Median ranked set sampling. Journal of Applied Statistical Sciences, 6(4), 245– 255.
  • Nahhas, R.W., Wolfe, D.A. and Chen, H. (2002). Ranked set sampling: cost and optimal set size. Biometrics, 58(4), 964–971.
  • Salehi, M., Ahmadi, J. and Balakrishnan, N. (2015). Prediction of order statistics and record values based on ordered ranked set sampling. Journal of Statistical Computation and Simulation, 85(1), 77–85.
  • Samawi, H.M., Ahmed, M.S., and Abu-Dayyeh, W. (1996). Estimating the population mean using extreme ranked set sampling. Biometrical Journal, 38(5), 577–586.
  • Samawi, H.M. and Muttlak, H.A. (1996). Estimation of ratio using rank set sampling. Biometrical Journal, 38(6), 753–764.
  • Samawi, H.M. and Al-Sagheer, O.A.M. (2001). On the estimation of the distribution function using extreme and median ranked set sampling. Biometrical Journal, 43(3), 357–373.
  • Singh, H.P., Tailor, R., and Singh, S. (2014). General procedure for estimating the population mean using ranked set sampling. Journal of Statistical Computation and Simulation, 84(5), 931–945.
  • Takahasi, K. and Wakimoto, K. (1968). On unbiased estimates of the population mean based on the sample stratified by means of ordering. Annals of the Institute of Statistical Mathematics, 20(1), 1–38.
  • Wang, Y., Chen, Z., and Liu, J. (2004). General ranked set sampling with cost considerations. Biomet- rics, 60(2), 556–561.
Toplam 18 adet kaynakça vardır.

Ayrıntılar

Diğer ID JA84DK96PR
Bölüm Araştırma Makalesi
Yazarlar

Abbas Eftekharian Bu kişi benim

Mostafa Razmkhah. Bu kişi benim

Yayımlanma Tarihi 1 Eylül 2016
Yayımlandığı Sayı Yıl 2016 Cilt: 9 Sayı: 3

Kaynak Göster

APA Eftekharian, A., & Razmkhah., M. (2016). A UNIFIED RANKED SET SAMPLING FOR ESTIMATING THE POPULATION MEAN. Istatistik Journal of The Turkish Statistical Association, 9(3), 107-118.
AMA Eftekharian A, Razmkhah. M. A UNIFIED RANKED SET SAMPLING FOR ESTIMATING THE POPULATION MEAN. IJTSA. Eylül 2016;9(3):107-118.
Chicago Eftekharian, Abbas, ve Mostafa Razmkhah. “A UNIFIED RANKED SET SAMPLING FOR ESTIMATING THE POPULATION MEAN”. Istatistik Journal of The Turkish Statistical Association 9, sy. 3 (Eylül 2016): 107-18.
EndNote Eftekharian A, Razmkhah. M (01 Eylül 2016) A UNIFIED RANKED SET SAMPLING FOR ESTIMATING THE POPULATION MEAN. Istatistik Journal of The Turkish Statistical Association 9 3 107–118.
IEEE A. Eftekharian ve M. Razmkhah., “A UNIFIED RANKED SET SAMPLING FOR ESTIMATING THE POPULATION MEAN”, IJTSA, c. 9, sy. 3, ss. 107–118, 2016.
ISNAD Eftekharian, Abbas - Razmkhah., Mostafa. “A UNIFIED RANKED SET SAMPLING FOR ESTIMATING THE POPULATION MEAN”. Istatistik Journal of The Turkish Statistical Association 9/3 (Eylül 2016), 107-118.
JAMA Eftekharian A, Razmkhah. M. A UNIFIED RANKED SET SAMPLING FOR ESTIMATING THE POPULATION MEAN. IJTSA. 2016;9:107–118.
MLA Eftekharian, Abbas ve Mostafa Razmkhah. “A UNIFIED RANKED SET SAMPLING FOR ESTIMATING THE POPULATION MEAN”. Istatistik Journal of The Turkish Statistical Association, c. 9, sy. 3, 2016, ss. 107-18.
Vancouver Eftekharian A, Razmkhah. M. A UNIFIED RANKED SET SAMPLING FOR ESTIMATING THE POPULATION MEAN. IJTSA. 2016;9(3):107-18.