Asymmetric control limits for range chart with simple robust estimator under the non-normal distributed process


KARAGÖZ D.

MATHEMATICAL SCIENCES, cilt.12, sa.4, ss.249-262, 2018 (ESCI İndekslerine Giren Dergi) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 12 Konu: 4
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1007/s40096-018-0265-1
  • Dergi Adı: MATHEMATICAL SCIENCES
  • Sayfa Sayıları: ss.249-262

Özet

This paper aims to modify Shewhart, the weighted variance and skewness correction methods in industrial statistical process control. The robust and asymmetric control limits of range chart are constructed to use in contaminated and skewed distributed process. The way of construction of control limits is simple and corresponds to three methods in which sample range estimator is replaced with the robust interquartile range. These three modified methods are evaluated in terms of their type I risks and average run length by using simulation study. The performance of the proposed range charts is assessed when the Phases I and II data are uncontaminated and contaminated. The Weibull, gamma and lognormal distributions are chosen since they can represent a wide variety of shapes from nearly symmetric to highly skewed.