Design of Exponential Distributed Median Chart with Unknown Parameters

DOI

10.2991/acaai-18.2018.43How to use a DOI?

Keywords

TBE data; median chart; parameter estimation; conditional run length distribution

Abstract

It is recommended to monitor the time between events(TBE) when the defect rate is very low. An unbiased median chart is proposed to monitor exponential distributed TBE data and some design parameters are provided for ease of application. For the parameter is usually unknown, the effects of estimation on the chart performance are evaluated in terms of conditional false alarm rate and the conditional average run length(ARL) distribution. It is find that the median statistical can significantly reduce the "practitioner-to-practitioner" variability, and less number of reference samples are needed in phase I control chart. Moreover, the median chart ensures the sensitivity of the process shift to a certain extent. It is shown that the median statistical is an alternative one to monitor the exponential distributed TBE data.

Copyright

© 2018, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Chengming Cao
AU  - Yizhong Ma
PY  - 2018/03
DA  - 2018/03
TI  - Design of Exponential Distributed Median Chart with Unknown Parameters
BT  - Proceedings of the 2018 International Conference on Advanced Control, Automation and Artificial Intelligence (ACAAI 2018)
PB  - Atlantis Press
SP  - 182
EP  - 187
SN  - 1951-6851
UR  - https://doi.org/10.2991/acaai-18.2018.43
DO  - 10.2991/acaai-18.2018.43
ID  - Cao2018/03
ER  -