A direct procedure for monitoring the coefficient of variation using a variable sample size scheme

Yeong, W.C. and Khoo, M.B.C. and Lim, S.L. and Lee, M.H. (2017) A direct procedure for monitoring the coefficient of variation using a variable sample size scheme. Communications in Statistics - Simulation and Computation, 46 (6). pp. 4210-4225. ISSN 0361-0918, DOI https://doi.org/10.1080/03610918.2015.1109659.

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Official URL: http://dx.doi.org/10.1080/03610918.2015.1109659

Abstract

A variable sample size (VSS) scheme directly monitoring the coefficient of variation (CV), instead of monitoring the transformed statistics, is proposed. Optimal chart parameters are computed based on two criteria: (i) minimizing the out-of-control ARL (ARL1) and (ii) minimizing the out-of-control ASS (ASS1). Then the performances are compared between these two criteria. The advantages of the proposed chart over the VSS chart based on the transformed statistics in the existing literature are: the former (i) provides an easier alternative as no transformation is involved and (ii) requires less number of observations to detect a shift when ASS1 is minimized.

Item Type: Article
Funders: Universiti Sains Malaysia Research University grant, number 1001/PMATHS/811263
Uncontrolled Keywords: Average number of observations to signal; Average run length; Average sample size; Coefficient of variation; Variable sample size
Subjects: H Social Sciences > HF Commerce > Business
Q Science > QA Mathematics
Divisions: Faculty of Business and Economics
Faculty of Science > Institute of Mathematical Sciences
Depositing User: Ms. Juhaida Abd Rahim
Date Deposited: 30 Jul 2018 07:25
Last Modified: 30 Jul 2018 07:25
URI: http://eprints.um.edu.my/id/eprint/18938

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