A Horvitz-Thompson Estimator of the Population Mean Using Inclusion Probabilities of Ranked Set Sampling

作者：Gokpinar Fikri^*; Ozdemir Yaprak Arzu

来源：Communications in Statistics - Theory and Methods, 2012, 41(6): 1029-1039.

DOI：10.1080/03610926.2010.533235

• Horvitz-Thompson estimator
• Inclusion probability
• Ranked set sampling

In this study, we define the Horvitz-Thompson estimator of the population mean using the inclusion probabilities of a ranked set sample in a finite population setting. The second-order inclusion probabilities that are required to calculate the variance of the Horvitz-Thompson estimator were obtained. The Horvitz-Thompson estimator, using the inclusion probabilities of ranked set sample, tends to be more efficient than the classical ranked set sampling estimator especially in a positively skewed population with small sizes. Also, we present a real data example with the volatility of gasoline to illustrate the Horvitz-Thompson estimator based on ranked set sampling.

• 出版日期2012