A New SVDD-Based Multivariate Non-parametric Process Capability Index

TL;DR

This paper introduces a novel multivariate non-parametric process capability index that does not rely on distributional assumptions, enhancing the assessment of process performance when distributions are unknown or non-normal.

Contribution

It proposes a new multivariate non-parametric PCI that is applicable without assuming specific distributional forms, addressing limitations of existing indices.

Findings

The new index effectively measures process capability without distribution assumptions.

It performs well with non-normal and unknown distributions.

Provides a robust tool for quality process assessment.

Abstract

Process capability index (PCI) is a commonly used statistic to measure ability of a process to operate within the given specifications or to produce products which meet the required quality specifications. PCI can be univariate or multivariate depending upon the number of process specifications or quality characteristics of interest. Most PCIs make distributional assumptions which are often unrealistic in practice. This paper proposes a new multivariate non-parametric process capability index. This index can be used when distribution of the process or quality parameters is either unknown or does not follow commonly used distributions such as multivariate normal.