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Conditional mean‐ and median‐based cumulative sum control charts for Weibull data
Author(s) -
Raza Syed Muhammad Muslim,
Ali Sajid,
Shah Ismail,
Butt Muhammad Moeen
Publication year - 2021
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.2746
Subject(s) - cusum , weibull distribution , control chart , statistics , ewma chart , censoring (clinical trials) , mathematics , computer science , process (computing) , operating system
This article deals with the monitoring of censored data using the cumulative sum (CUSUM) control charts for Weibull lifetimes under type‐I censoring. To develop an efficient CUSUM structure for censored data, we use the conditional expected value (CEV) and conditional median (CM) approaches. In particular, we focus on the detection of shifts in the mean of Weibull lifetimes assuming censored data. In addition to fixed/known parameter values, the effect of estimation is assessed on the detection power of control charts. The performance of the proposed charts is evaluated by the average run length (ARL). Furthermore, the ARL performance of CUSUM charts is compared with CEV‐ and CM‐based exponentially weighted moving average (EWMA) control charts. Besides an extensive simulation study, the significance of the current work is illustrated by a data set on the response time of a thermostat experiment.