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DEWMA control charts for censored data using R ayleigh lifetimes
Author(s) -
Raza Syed Muhammad Muslim,
Ali Sajid,
Butt Muhammad Moeen
Publication year - 2018
Publication title -
quality and reliability engineering international
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 62
eISSN - 1099-1638
pISSN - 0748-8017
DOI - 10.1002/qre.2354
Subject(s) - control chart , chart , rayleigh distribution , statistics , mathematics , variance (accounting) , x bar chart , exponential distribution , distribution (mathematics) , computer science , control limits , probability density function , mathematical analysis , economics , accounting , process (computing) , operating system
We present conditional expected value (CEV) and conditional median (CM)‐based double exponentially weighted moving average (DEWMA) charts for monitoring the type I censored data. We use the Rayleigh distribution for illustration of the proposed chart and mainly focus on the mean level shifts. The relation of variance level shifts with mean level shifts for the Rayleigh distribution is also discussed. In particular, we discuss known parameter as well as the unknown parameter case, where the parameter estimation is done by the method of maximum likelihood. Furthermore, a comparison between CEVDEWMA and CMDEWMA is also a part of this study. The performance of the proposed chart is evaluated using the average run length and a real‐life case study is also presented in this article.