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

GÖKPINAR F., Ozdemir Y. A.

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, cilt.41, sa.6, ss.1029-1039, 2012 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 41 Sayı: 6
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1080/03610926.2010.533235
  • Dergi Adı: COMMUNICATIONS IN STATISTICS-THEORY AND METHODS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1029-1039
  • Anahtar Kelimeler: Horvitz-Thompson estimator, Inclusion probability, Ranked set sampling, FORMULA
  • Gazi Üniversitesi Adresli: Evet

Özet

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.