Improved Ratio-type Exponential Estimator for Estimating   Population Mean in Ranked Set Sampling

Nirupama Sahoo; Sananda Kumar Jhankar

doi:10.56093/jisas.v78i02.171360

Authors

Nirupama Sahoo Gangadhar Meher University, Sambalpur
Sananda Kumar Jhankar Gangadhar Meher University, Sambalpur

https://doi.org/10.56093/jisas.v78i02.171360

Keywords:

Ranked Set Sampling; Bias; Mean square error; Relative efficiency; Simulation.

Abstract

In this paper we propose a ratio-type exponential estimator for estimating population mean of the study variable under Ranked set sampling when auxiliary information is known. The bias and Mean square error of the proposed estimator has been derived up to the first degree of approximation. A simulation study has been carried out to judge the performance of the newly proposed estimator along with existing estimators. It is obtained that the proposed estimator is more efficient as compared to the competing estimators.

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References

Bouza, C.N., Singh, P., and Singh, R. (2018). Ranked set sampling and optional scrambling randomized response modeling. Revista Investigacion Operacional, 39(1), 100-107.

Bhusan, S., Kumar, A., Shahab, S., Lone, S.A. and Akhtar, T. (2022). On Efficient Estimation of the Population Mean under Stratified Ranked Set Sampling. Hindawi Journal of Mathematics, 01-20.

Dell, T. and Clutter, J. (1972). Ranked Set Sampling Theory with Order Statistics Background. Biometrics, 545-555.

Kadilar, C., Unyazici, Y. and Cingi, H. (2009). Ratio Estimator for the Population Mean Using Ranked Set Sampling. Statistical Papers, 50, 301-309.

Khan, L. and Shabbir, J. (2015). A Class of Hartley-Ross Type Unbiased Estimators for Population Mean Using Ranked Set Sampling. Hacettepe Journal of Mathematics and Statistics.

Khan, L. and Shabbir, J. (2016). An Efficient Class of Estimators for the Finite Population Mean in Ranked Set Sampling. Open Journal of Statistics, 6, 426-435.

Khan, L. and Shabbir, J. (2016). Hartley-Ross Type Unbiased Estimators Using Ranked Set Sampling and Stratified Ranked Set Sampling. North Carolina Journal of Mathematics and Statistics, 2, 10-22.

Khoshnevisan, M., Singh, R., Chauhan, P., Sawan, N. and 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.

Lohr, S. (1999). Sampling Design and Analysis. Duxbury Press, Boston.

McIntyre, G. (1952). A Method for Unbiased Selective Sampling, Using Ranked Sets. Crop and Pasture Science, 3, 385-390.

Samawi, H.M. and Muttlak, M.A. (1996). Estimation of Ratio Using Ranked Set Sampling. Biometrical Journal, 38, 753-764.

Searls, D.T. (1964). The Utilization of a Known Coefficient of Variation in the Estimation Procedure. Journal of the American Statistical Association, 59.

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, 931-945.

Singh, R. and Kumari, A. (2023). Improved Estimators of Population Mean Using Auxiliary Variables in Ranked Set Sampling. Revista Investigacion Operacional, 44(2), 271-280.

Singh, R. and Kumari, A. (2023). Generalized Class of Some Novel Estimators under Ranked Set Sampling. Journal of the Indian Society of Agricultural Statistics, 77(1), 45-53.

Stokes, S.L. (1977). Ranked Set Sampling with Concomitant Variables. Communication in Statistics: Theory and Methods, 6, 1207-1211.

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, 1-31.