Multivariate Process Capability Indices for Non-Normal Processes

By : Kailas Govinda Khadse, Ramkrishna Lahu Shinde

Page No: 1-24

Abstract
In this paper by using fraction conforming probabilities p1 and p2, we introduce Multivariate Process Capability Indices (MPCIs) ( 1) ( 2 ) and p p pk p MC MC which measures potential capability and actual capability respectively for multivariate non-normal processes. Computing aspects of p( p1) MC and  pk ( p2 ) MC are discussed in detail considering hyper rectangular specification region. Two cases of multivariate non-normal processes are considered. While constructing MPCIs, in the first case it is assumed that process variables are independent and in the second case it is assumed that process variables are linearly related. In the second case Principal Component Analysis is used to compute point estimate and interval estimate of proposed MPCIs. Real life problems are given for illustration of proposed MPCIs with their interpretations.

Authors :
Kailas Govinda Khadse
School of Mathematical Sciences, M. J. College (Autonomous), Jalgaon

Ramkrishna Lahu Shinde
School of Mathematical Sciences, Kavayitri Bahinabai Chaudhari North Maharashtra University, Jalgaon

DOI: DOI-https://doi.org/10.32381/IAPQRT.2021.45.01-02.1