Journal of Statistical Computation and Simulation, ( ISI ), Volume (90), No (18), Year (2020-8) , Pages (3400-3421)

Title : ( Comparison between two methods of the economic-statistical design of profile monitoring under the double sampling scheme )

Authors: azamsadat eizi , Bahram Sadeghpour Gildeh , Sayyed Ehsan Monabbatib ,

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Abstract

In many applications, the quality of a process is characterized by the functional relationship between a response variable and one or more explanatory variables. This functional relationship is referred to as a profile. We extend two existing methods for monitoring the shift of slope of linear profiles. We consider the single sampling (SS) and the double sampling (DS) scheme for the economic-statistical design (ESD) model of profile monitoring in Phase II. The results of a numerical example indicate the DS ˆ β1 control chart has better performance than the DS T2 control chart when ρ ˆ β0, ˆ β1 is low. Comparison of the ESD of DS ˆ β1 and the SD of DS ˆ β1 control charts show that an ESD has an improvement over the pure SD. Also, we compare the ESD of the DS ˆ β1 with the ESD of the SS ˆ β1 control chart. The results show that the DS ˆ β1 control charts are more efficient in terms of minimizing the E(L).

Keywords

, Double sampling; profile monitoring; T2 Hotelling; Panagos’s cost model; economic, statistical design; statistical design
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@article{paperid:1080827,
author = {Eizi, Azamsadat and Sadeghpour Gildeh, Bahram and Sayyed Ehsan Monabbatib},
title = {Comparison between two methods of the economic-statistical design of profile monitoring under the double sampling scheme},
journal = {Journal of Statistical Computation and Simulation},
year = {2020},
volume = {90},
number = {18},
month = {August},
issn = {0094-9655},
pages = {3400--3421},
numpages = {21},
keywords = {Double sampling; profile monitoring; T2 Hotelling; Panagos’s cost model; economic-statistical design; statistical design},
}

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%0 Journal Article
%T Comparison between two methods of the economic-statistical design of profile monitoring under the double sampling scheme
%A Eizi, Azamsadat
%A Sadeghpour Gildeh, Bahram
%A Sayyed Ehsan Monabbatib
%J Journal of Statistical Computation and Simulation
%@ 0094-9655
%D 2020

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