ARL-unbiased control charts for the monitoring of exponentially distributed characteristics based on type-II censored samples

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

15 Scopus Citations
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Author(s)

Detail(s)

Original languageEnglish
Pages (from-to)2734-2747
Number of pages14
Journal / PublicationJournal of Statistical Computation and Simulation
Volume84
Issue number12
Online published21 Mar 2014
Publication statusPublished - 2014

Abstract

In this paper, the problem of monitoring process data that can be modelled by exponential distribution is considered when observations are from type-II censoring. Such data are common in many practical inspection environment. An average run length unbiased (ARL-unbiased) control scheme is developed when the in-control scale parameter is known. The performance of the proposed control charts are investigated in terms of the ARL and standard deviation of the run length. The effects of parameter estimation on the proposed control charts are also evaluated. Then, we consider the design of the ARL-unbiased control charts when the in-control scale parameter is estimated. Finally, an example is used to illustrate the implementation of the proposed control charts.

Research Area(s)

  • exponential distribution, average run length, process control, unbiased control chart, type-II censoring

Citation Format(s)