Multivariate Time-Between-Events Monitoring -- An overview and some (overlooked) underlying complexities

TL;DR

This paper reviews methods for monitoring multivariate time-between-events data, highlighting overlooked complexities, classifying applications into two scenarios, and providing guidance on performance measures and future research directions.

Contribution

It introduces a classification of multivariate TBE monitoring applications, reviews existing methods, and discusses performance metrics and future research directions.

Findings

Classifies multivariate TBE monitoring into two scenarios

Re-evaluates an existing monitoring method

Provides guidance on performance measures and future research

Abstract

We review methods for monitoring multivariate time-between-events (TBE) data. We present some underlying complexities that have been overlooked in the literature. It is helpful to classify multivariate TBE monitoring applications into two fundamentally different scenarios. One scenario involves monitoring individual vectors of TBE data. The other involves the monitoring of several, possibly correlated, temporal point processes in which events could occur at different rates. We discuss performance measures and advise the use of time-between-signal based metrics for the design and comparison of methods. We re-evaluate an existing multivariate TBE monitoring method, offer some advice and some directions for future research.