A regression type estimator for mean estimation under ranked set sampling alongside the sensitivity issue

Yıl 2019, Cilt: 68 Sayı: 2, 2037 - 2049, 01.08.2019

Usman Shahzad , Muhammad Hanif Nursel Koyuncu , Amelia Victoria Garcia Luengo

https://doi.org/10.31801/cfsuasmas.586057

Cited By: 13

Öz

Koyuncu and Kadilar <cite>kk.2009</cite> introduced a family of estimators under simple random sampling. In this article; we adapt these estimators for ranked set sampling. Further, we suggest a regression-type estimator of population mean utilizing available supplementary information under ranked set sampling scheme alongside the sensitivity issue when the variate of interest is sensitive. The bias and mean square error of the suggested estimator is determined theoretically for both situations. A simulation study has been done to demonstrate the percentage relative efficiency of proposed estimators over the adapted and reviewed estimators.

Anahtar Kelimeler

Mean squared error, ranked set sampling, sensitivity, percentage relative efficiency

Kaynakça

• Bouza, C. N., Ranked set sampling for the product estimator, Rev. Invest. Oper. 29(3), (2008), 201--206.
• Diana, G. and Perri, P.F., New scrambled response model for estimating the mean of a sensitive quantitative character, Journal of Applied Statistics 37,(2010), 1875--1890.
• Eichhorn, B. and Hayre, L.S., Scrambled randomized response method for obtaining sensitive quantitative data, Journal of Statistical Planning and Inference 7, (1983), 307--316.
• Gupta, S., Shabbir, J., Sousa, R. and Corte-Real, P., Estimation of the mean of a sensitive variable in the presence of auxiliary information, Communications in Statistics-Theory and Methods 41, (2012), 2394--2404.
• Kadilar,C., Unyazici,Y. and Cingi,H., Ratio estimator for the population mean using ranked set sampling, Statist. Papers 50, (2009), 301--309.
• Koyuncu, N., Gupta, S. and Sousa, R., Exponential-type estimators of the mean of a sensitive variable in the presence of nonsensitive auxiliary information, Communications in Statistics - Simulation and Computation 43(7), (2014), 1583--1594.
• Koyuncu, N. and Kadilar, C., Efficient estimators for the population mean, Hacett. J. Math. Statist. 38(2),(2009), 217--225.
• McIntyre, G.A., A method for unbiased selective sampling using ranked sets, Australian Journal of Agricultural Research 3, (1952), 385--390.
• Mehta, N. and Mandowara, V., A modified ratio-cum-product estimator of finite population mean using ranked set sampling, Communications in Statistics-Theory and Methods 45(2), (2016), 267--276.
• Pollock, K.H. and Bek, Y., A comparison of three randomized response models for quantitative data, Journal of the American Statistical Association 71,(1976), 884-886.
• Saha, A., A randomized response technique for quantitative data under unequal probability sampling, Journal of Statistical Theory and Practice 2(4),(2008), 589--596.
• Samawi, H. M. and Muttlak, H. A., Estimation of ratio using rank set sampling, Biomet. J. 38, (1996), 753--764.
• Shahzad, U., On the estimation of population mean under systematic sampling using auxiliary attributes, Orient J Phys Sciences 1, (2016), 17--22.
• Singh, H. P. and Kakran M. S., A modified ratio estimator using known coefficient of kurtosis of an auxiliary character, In Singh, S. ed. Advanced Sampling Theory with Applications, Kluwer Academic Publishers,(1993).
• Singh, H.P., Tailor, R. and Singh, S., General procedure for estimating the population mean using ranked set sampling, Journal of Statistical Computation and Simulation 84(5), (2014), 931--945.
• Singh, S., Advanced Sampling Theory with Applications. Vol. 1 and 2. London: Kluwer Academic Publishers,(2003).
• Sisodia, B. V. S. and Dwivedi, V. K., A modified ratio estimator using coefficient of variation of auxiliary variable, J. Ind. Soc. Agri. Statist. 33, (1981), 13--18.
• Sousa, R., Shabbir, J., Corte-Real, P., Gupta, S. , Ratio estimation of the mean of a sensitive variable in the presence of auxiliary information, Journal of Statistical Theory and Practice 4(3),(2010), 495--507.
• Tailor, R., Sharma, B., A modified ratio-cum-product estimator of finite population mean using known coefficient of variation and coefficient of kurtosis. Stat. Transition New Ser. 10(1),(2009),15--24.
• Upadhyaya, L. N., Singh, H. P., Use of transformed auxiliary variable in estimating the finite population mean, Biometrical J. 41, (1999), 627--636.