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- Title
Median control charts for monitoring asymmetric quality characteristics double bounded.
- Authors
Lima‐Filho, Luiz M. A.; Bourguignon, Marcelo; Ho, Linda L.; Fernandes, Fidel Henrique
- Abstract
In many practical situations, the quality characteristics of interest assume values in the range (0,1), like rates and proportions (but they are not results from Bernoulli experiments). Most control charts built for these quality characteristics rely on monitoring parameters of their probability distribution functions or on their averages after some reparameterization of their density probability function. However, for highly asymmetric distributions, the median is a more appropriate location parameter than the average. In this paper, we propose Shewhart‐type control charts for monitoring the median of observations taken from quality characteristics double bounded after reparameterization of two probability density functions: Kumaraswamy and unit Weibull. The performance of the control charts is evaluated and compared in terms of run length (RL) analysis considering three estimators for the median. Finally, we also carry out two applications to demonstrate the applicability of these control charts.
- Subjects
QUALITY control charts; PROBABILITY density function; DISTRIBUTION (Probability theory)
- Publication
Quality & Reliability Engineering International, 2020, Vol 36, Issue 7, p2285
- ISSN
0748-8017
- Publication type
Article
- DOI
10.1002/qre.2696