Optimal Cusum Control Chart for Censored Reliability Data with Log-logistic Distribution

• Autorzy: Sadeghpour Gildeh B. , Taghizadeh Ashkavaey M.

Identyfikatory

DOI

10.12921/cmst.2015.21.04.006

• Języki publikacji: EN

Abstrakty

EN

The goal of this work is to detect any potentially harmful change in a process. The reliability tests are assumed to generate type-I right-censored data following a log-logistic distribution with scale parameter (η) and shape parameter (β). For this purpose, we have constructed a likelihood ratio based simultaneous cumulative sum (CUSUM) control chart that targets changes in both the failure mechanism and the characteristic life (the simultaneous CUSUM chart for detecting shifts in the shape and the scale parameters). This control chart displays best performance for combinations with larger positive or negative shifts in the shape parameter, signaling on average in 5 samples in an out-of-control situation, while targeting an in-control average run length of 370. The simultaneous CUSUM chart’s performance is highly dependent on the values of ,β and on the interaction between them and the censoring rates and shift sizes.

Słowa kluczowe

EN

Likelihood ratio; Type-I right-censoring; Log-logistic distribution; Cumulative sum (CUSUM) chart; Average run length

• Wydawca: Institute of Bioorganic Chemistry Scientific Publishers OWN, Polish Academy of Sciences
• Czasopismo: Computational Methods in Science and Technology
• Rocznik: 2015
• Tom: Vol. 21, No. 4
• Strony: 221--227
• Opis fizyczny: Bibliogr. 10 poz., rys.

Twórcy

autor

Sadeghpour Gildeh B.

• Department of Statistics, Faculty of Mathematical Science Ferdowsi University of Mashhad, Mashhad, Iran

autor

Taghizadeh Ashkavaey M.

• Department of Statistics, Faculty of Mathematical Science Ferdowsi University of Mashhad, Mashhad, Iran

Bibliografia

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• [10] D. A. Olteanu, Cumulative Sum Control Charts for Censored Reliability Data, PhD thesis Faculty of the Virginia Polytechnic Institute and State University, Blacksburg, Virginia (2010).