Statistical Control of Multivariate Processes — Advanced Reference Guide

Introduction

What this guide covers

Monitoring of complex systems, Hotelling matrix formulation, dimensional reduction algorithms using PCA and PLS, and advanced methodologies for diagnosing out-of-control signals.

Overview

Topics covered

• Introduction
• Statistical Control of Multivariate Processes
• Introduction and Fundamentals of the MSPC
• 1.1 Distortion of the Global False Alarm Rate
• 1.2 Omission of the Covariance Structure
• The Multivariate Normal Distribution (MVN)

Related concepts

Main connections

• Linear algebra & matrices
• Calculus & differentiation
• Principal component analysis (PCA)
• Variance & standard deviation
• Mean & expected value
• Quantiles & percentiles

Compatible notation

Mathematical sample in LaTeX

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