Abstract
Inclusion probabilities are design dependent and should be furnished with the design elements. Inclusion probability of an element in the population is the probability that the element will be chosen in a sample. In this paper the inclusion probabilities in the case of ranked set sampling design and some of its variations are furnished. This paper provides good and interesting examples of sampling designs for which the inclusion probabilities are not equal.
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References
Al-Odat M, Al-Saleh MF (2000) A variation of ranked set sampling. J Appl Stat Sci 10:137–146
Al-Saleh MF (2004) Steady state ranked set sampling and parametric estimation. J Stat Plan Inference 123:83–95
Al-Saleh MF, Al-Hadrami S (2003) Estimation of the mean of the exponential distribution using moving extremes ranked set sampling. Stat Pap 44:367–382
Al-Saleh MF, Al-Kadiri M (2000) Double ranked set sampling. Stat Probab Lett 48:205–212
Al-Saleh MF, Al-Omary A (2002) Multistage ranked set sampling. J Stat Plan Inference 102:273–286
Al-Saleh MF, Zheng G (2003) Controlled sampling using ranked set sampling. J Nonparametr Stat 15:505–516
Carlos NB (2000) Estimation of the mean in ranked set sampling with non responses. Metrika 56:171–179
Dell TR, Clutter JL (1972) Ranked set sampling theory with order statistics background. Biometrics 28:545–555
Kaur A, Patil GP, Sinha AK, Taillie C (1995) Ranked set sampling: an annotated bibliography. Environ Ecol Stat 2:25–54
McIntyre GA (1952) A method for unbiased selective sampling using ranked sets. Aust J Agric Res 3:385–390
Mukhopadhyay P (2000) Topics in survey sampling. Springer, New York
Patil GP, Sinha AK, Taillie C (1999) Ranked set sampling: a bibliography. Environ Ecol Stat 6:91–98
Perron F, Sinha BK (2004) Estimation of variance based on ranked set sampling. J Stat Plan Inference 120:21–28
Samawi HM, Ahmad MS, Abu-Dayyeh W (1996) Estimating the population mean using extreme ranked set sampling. Biom J 38:577–586
Stokes SL (1980) Inferences on the correlation coefficient in bivariate normal population from ranked set sampling. J Am Stat Assoc 75:989–995
Takahasi K, Futatsuya M (1988) Ranked set sampling from a finite population. Proc Inst Stat Math 36:55–68
Takahasi K, Futatsuya M (1998) Dependence between order statistics in samples from finite population and its application to ranked set sampling. Ann Inst Stat Math 50:49–70
Takahasi K, Wakimoto K (1968) On unbiased estimates of the population mean based on the sample stratified by means of ordering. Ann Inst Stat Math 20:1–31
Tryfos P (1996) Sampling methods for applied research. Wiley, New York
Zheng G, Al-Saleh MF (2002) Modified maximum likelihood estimators based on ranked set sampling. Ann Inst Stat Math 54:641–658
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M.F. Al-Saleh is currently at Qatar University (on leave), e-mail: malsaleh@qu.edu.qa.
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Al-Saleh, M.F., Samawi, H.M. A note on inclusion probability in ranked set sampling and some of its variations. TEST 16, 198–209 (2007). https://doi.org/10.1007/s11749-006-0009-7
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DOI: https://doi.org/10.1007/s11749-006-0009-7