Abstract
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 Karagöz (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 \(\bar{X}\) and R charts under contaminated skewed distributions. The performances of the \(\bar{X}\) 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.
Similar content being viewed by others
References
Abbas T, Zaman B, Atir A, Riaz M, Akbar Abbasi S (2019) On improved dispersion control charts under ranked set schemes for normal and non-normal processes. Qual Reliab Eng Int. https://doi.org/10.1002/qre.2531
Agarwal P, Ibrahim IH (2019) A new type of hybrid multistep multiderivative formula for solving stiff IVPs. Adv Differ Equ 2019(1):1–14
Agarwal P, Ibrahim IH, Yousry FM (2019) G-stability one-leg hybrid methods for solving DAEs. Adv Differ Equ 2019(1):103
Agarwal P, Hyder AA, Zakarya M (2020) Well-posedness of stochastic modified Kawahara equation. Adv Differ Equ 2020(1):1–10
Awais M, Haq A (2018) A new cumulative sum control chart for monitoring the process mean using varied L ranked set sampling. J Ind Prod Eng 35(2):74–90
Da Silva GP, Taconeli CA, ZEVIANI W, Do Nascimento IAS (2019) Performance of Shewhart control charts based on neoteric ranked set sampling to monitor the process mean for normal and non-normal processes. Chil J Stat (ChJS) 10(2):131–154
Karagöz D (2018) Robust \(\bar{X}\) control chart for monitoring the skewed and contaminated process. Hacet J Math Stat 47(1):223–242
Koyuncu N (2017) Improved ratio estimation of population mean under median and neoteric ranked set sampling. In: AIP conference proceedings, vol 1863 (1). AIP Publishing LLC
Koyuncu N (2018) Regression estimators in ranked set, median ranked set and neoteric ranked set sampling. Pak J Stat Oper Res 14(1):89–94
Koyuncu N, Karagöz D (2018) New mean charts for bivariate asymmetric distributions using different ranked set sampling designs. Qual Technol Quant Manag 15(5):602–621
Karagöz D, Koyuncu N (2019) New ranked set sampling schemes for range charts limits under bivariate skewed distributions. Soft Comput 23:1573–1587
Mehmood R, Lee MH, Riaz M, Zaman B, Ali I (2019) Hotelling T2 control chart based on bivariate ranked set schemes. Commun Stat Simul Comput. https://doi.org/10.1080/03610918.2019.1643885
Zamanzade E, Al-Omari AI (2016) New ranked set sampling for estimating the population mean and variance. Hacet J Math Stat 45(6):1891–1905
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
The authors declare that they have no conflict of interest.
Ethical approval
This article does not contain any studies with human participants or animals performed by any of the authors.
Additional information
Communicated by V. Loia.
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Koyuncu, N., Karagoz, D. Neoteric ranked set sampling for robust \(\bar{X}\) and R control charts. Soft Comput 24, 17195–17204 (2020). https://doi.org/10.1007/s00500-020-05012-5
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00500-020-05012-5