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Title: Costing mixed coxian phase-type systems with poisson arrivals
Authors: McClean, Sally
Garg, Lalit
Fullerton, Ken
Keywords: Hospital utilization -- Length of stay
Markov processes
Phase contrast magnetic resonance imaging
Issue Date: 2014
Publisher: Taylor & Francis Inc.
Citation: McClean, S., Garg, L., & Fullerton, K. (2014). Costing mixed coxian phase-type systems with poisson arrivals. Communications in Statistics-Theory and Methods, 43(7), 1437-1452.
Abstract: Previously, we developed a modeling framework which classifies individuals with respect to their length of stay (LOS) in the transient states of a continuous-time Markov model with a single absorbing state; phase-type models are used for each class of the Markov model. We here add costs and obtain results for moments of total costs in (0, t], for an individual, a cohort arriving at time zero and when arrivals are Poisson. Based on stroke patient data from the Belfast City Hospital we use the overall modelling framework to obtain results for total cost in a given time interval.
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