Best Linear Unbiased Estimators for the Multiple Linear Regression Model using Ranked Set Sampling with a Concomitant Variable

Year 2007, Volume: 36 Issue: 1, 65 - 73, 01.01.2007

Y. A. Özdemir A. A. Esin

Keywords

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References

• Arnold,B., Balakrishnan, N., and Nagaraja, H. N. A First Course in Order Statistics (John Wiley, New York, 1993).
• Balakrishnan, N. and Li, T. 2006. BLUEs of parameters of generalized geometric distri- bution using ordered ranked set sampling, Communications in Statistics: Simulation and Computation 34, 253–266, 2006.
• Barnett, V. and Barreto, M. C. M. Best linear unbiased estimators for the simple linear regression model using ranked set sampling, Environmental and Ecological Statistics 6, 119–133, 1999.
• Barnet, V. and Barreto, M. C. M. Estimators for a Poisson parameter using ranked set sampling, Journal of Applied Statistics 8, 929–941, 2001.
• Graybill, F. A. An Introduction to Linear Statistical Models, Vol. 1 (McGraw-Hill Book Company, NewYork, 1961).
• Kendall, S., Kendall, M. and Stuart, A. The Advanced Theory of Statistics, Vol. 2 (Charles Griffin and Company Limited, London, 1979).
• Lloyd, E. H. In Contributions to Order Statistics (John Wiley, New York, 1952).
• McIntyre, G. A. A method of unbiased selective sampling using ranked sets, Australian Jour- nal of Agricaltural Research 3, 385–390, 1952.
• ¨Ozdemir, Y. A. Investigation of Parameter Estimation In Linear Regression Models Using Ranked Set Sampling
• Ridout, M. S. and Coby, J. M. Ranked set sampling with non-random selection of sets and errors in ranking, Applied Statistics 36, 145–152, 1987.
• Sinha, Bimal K., Sinha, Bikas K. and Purkayastha, S. On some aspects of ranked set sam- pling for estimation of normal and exponential parameters, Statistical Decisions 14, 223– 240, 1996.
• Stokes, L. S. Ranked set sampling with concomitant variables, Commun. Statist. Theor. Meth. A6 (12), 1207–1211, 1977.
• Stokes, L. S. Parametric ranked set sampling, Annals of the Institude of Statistical Mathe- matics 47, 465–482, 1995.
• Takahasi, K. and Wakimoto, K. On Unbiased estimates of the population mean based on the sample stratified by means of ordering, Annals of The Institude of Statistical Mathematics 21, 249–255, 1968.