ESTIMATION OF THE PARAMETERS OF THE NEW WEIBULL-PARETO DISTRIBUTION USING RANKED SET SAMPLING

Samuh M. H., Al-Omari A. I., KOYUNCU N.

STATISTICA, cilt.80, sa.1, ss.103-123, 2020 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 80 Sayı: 1
  • Basım Tarihi: 2020
  • Doi Numarası: 10.6092/issn.1973-2201/9368
  • Dergi Adı: STATISTICA
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, International Bibliography of Social Sciences, ABI/INFORM, EconLit, zbMATH, Directory of Open Access Journals
  • Sayfa Sayıları: ss.103-123
  • Hacettepe Üniversitesi Adresli: Evet

Özet

The method of maximum likelihood estimation based on ranked set sampling (RSS) and some of its modifications is used to estimate the unknown parameters of the new Weibull-Pareto distribution. The estimators are compared with the conventional estimators based on simple random sampling (SRS). The biases, mean squared errors, and confidence intervals are used to the comparison. The effect of the set size and number of cycles of the RSS schemes are addressed. Monte Carlo simulation is carried out by using R. The results showed that the RSS estimators are more efficient than their competitors using SRS.