Applications in Industry
Author(s)
Mengersen, Kerrie
Duncan, Earl
Arbel, Julyan
Alston-Knox, Clair
White, Nicole
Griffith University Author(s)
Year published
2019
Metadata
Show full item recordAbstract
There are various definitions of the term industry, ranging from a traditional focus on manufacturing enterprises, to a slightly more relaxed inclusion of general trade, to a very broad umbrella of dedicated work. In this chapter we take a middle ground and include activities that have a commercial focus. This definition embraces an alphabet of fields, spanning agriculture, business and commerce, defence, engineering, fisheries, gas and oil, health, and so on.
A very wide range of commonly encountered problems in these industries are amenable to statistical mixture modelling and analysis. These include process monitoring or ...
View more >There are various definitions of the term industry, ranging from a traditional focus on manufacturing enterprises, to a slightly more relaxed inclusion of general trade, to a very broad umbrella of dedicated work. In this chapter we take a middle ground and include activities that have a commercial focus. This definition embraces an alphabet of fields, spanning agriculture, business and commerce, defence, engineering, fisheries, gas and oil, health, and so on. A very wide range of commonly encountered problems in these industries are amenable to statistical mixture modelling and analysis. These include process monitoring or quality control, efficient resource allocation, risk assessment, prediction, and so on. Commonly articulated reasons for adopting a mixture approach include the ability to describe non-standard outcomes and processes, the potential to characterise each of a set of multiple outcomes or processes via the mixture components, the concomitant improvement in interpretability of the results, and the opportunity to make probabilistic inferences such as component membership and overall prediction. In this chapter, we illustrate the wide diversity of applications of mixture models to problems in industry, and the potential advantages of these approaches, through a series of case studies. The first of these focuses on the iconic and pervasive need for process monitoring, and reviews a range of mixture approaches that have been proposed to tackle complex multimodal and dynamic or online processes. The second study reports on mixture approaches to resource allocation, applied here in a spatial health context but which are applicable more generally. The next study provides a more detailed description of a multivariate Gaussian mixture approach to a biosecurity risk assessment problem, using big data in the form of satellite imagery. This is followed by a final study that again provides a detailed description of a mixture model, this time using a nonparametric formulation, for assessing an industrial impact, notably the influence of a toxic spill on soil biodiversity.
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View more >There are various definitions of the term industry, ranging from a traditional focus on manufacturing enterprises, to a slightly more relaxed inclusion of general trade, to a very broad umbrella of dedicated work. In this chapter we take a middle ground and include activities that have a commercial focus. This definition embraces an alphabet of fields, spanning agriculture, business and commerce, defence, engineering, fisheries, gas and oil, health, and so on. A very wide range of commonly encountered problems in these industries are amenable to statistical mixture modelling and analysis. These include process monitoring or quality control, efficient resource allocation, risk assessment, prediction, and so on. Commonly articulated reasons for adopting a mixture approach include the ability to describe non-standard outcomes and processes, the potential to characterise each of a set of multiple outcomes or processes via the mixture components, the concomitant improvement in interpretability of the results, and the opportunity to make probabilistic inferences such as component membership and overall prediction. In this chapter, we illustrate the wide diversity of applications of mixture models to problems in industry, and the potential advantages of these approaches, through a series of case studies. The first of these focuses on the iconic and pervasive need for process monitoring, and reviews a range of mixture approaches that have been proposed to tackle complex multimodal and dynamic or online processes. The second study reports on mixture approaches to resource allocation, applied here in a spatial health context but which are applicable more generally. The next study provides a more detailed description of a multivariate Gaussian mixture approach to a biosecurity risk assessment problem, using big data in the form of satellite imagery. This is followed by a final study that again provides a detailed description of a mixture model, this time using a nonparametric formulation, for assessing an industrial impact, notably the influence of a toxic spill on soil biodiversity.
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Book Title
Handbook of Mixture Analysis
Volume
1
Subject
Statistics not elsewhere classified