Neoteric ranked set sampling for robust (X)over-bar and R control charts

KOYUNCU N., KARAGÖZ D.

SOFT COMPUTING, cilt.24, sa.22, ss.17195-17204, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 24 Sayı: 22
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1007/s00500-020-05012-5
  • Dergi Adı: SOFT COMPUTING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Applied Science & Technology Source, Compendex, Computer & Applied Sciences, INSPEC, zbMATH
  • Sayfa Sayıları: ss.17195-17204
  • Anahtar Kelimeler: Robust control chart, Neoteric ranked set sampling, Simulation, Relative efficiency
  • Hacettepe Üniversitesi Adresli: Evet

Özet

Neoteric ranked set sampling (NRSS) is defined as an efficient sampling design compared to counterparts in the literature. NRSS differs from ranked set sampling (RSS) by selecting ordered sample units, and this design provides more accurate results for estimation of population parameters compared to RSS. This sampling design is firstly used by Koyuncu and Karagoz (Qual Technol Quant Manag 15(5):602-621, 2018) to construct control charts under bivariate asymmetric distributions. Robust control charts are another important topic for monitoring of process when the contamination exists. The novelty of this paper is that we have used NRSS design firstly in statistical process control to monitor robust control charts. Moving this direction, we have proposed to use NRSS design in modified robust methods to construct (X) over bar and R charts under contaminated skewed distributions. The performances of the (X) over bar and R control charts for monitoring the process by using NRSS are evaluated according to Type I risk probabilities. Based on the simulation study, the NRSS design in modified robust methods gives the most efficient results compared to existing methods.