Premium
Unification of some multivariate process capability indices for asymmetric specification region
Author(s) -
Chatterjee Moutushi,
Chakraborty Ashis Kumar
Publication year - 2017
Publication title -
statistica neerlandica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.52
H-Index - 39
eISSN - 1467-9574
pISSN - 0039-0402
DOI - 10.1111/stan.12112
Subject(s) - univariate , process capability , multivariate statistics , estimator , unification , mathematics , process capability index , asymmetry , computer science , mathematical optimization , algorithm , statistics , work in process , engineering , physics , operations management , particle physics , programming language
In manufacturing industries, it is often seen that the bilateral specification limits corresponding to a particular quality characteristic are not symmetric with respect to the stipulated target. A unified superstructureC p′ ′( u , v ) of univariate process capability indices was specially designed for processes with asymmetric specification limits. However, as in most of the practical situations a process consists of a number of inter‐related quality characteristics, subsequently, a multivariate analogue ofC p′ ′( u , v ) , which is called C M ( u , v ), was developed. In the present paper, we study some properties of C M ( u , v ) like threshold value and compatibility with the asymmetry in loss function. We also discuss estimation procedures for plug‐in estimators of some of the member indices of C M ( u , v ). Finally, the superstructure is applied to a numerical example to supplement the theory developed in this article.