A two-stage approach to the joint analysis of longitudinal and survival data utilising the Coxian phase-type distribution [PDF]
Statistical Methods in Medical Research, 2018 The Coxian phase-type distribution is a special type of Markov model which can be utilised both to uncover underlying stages of a survival process and to make inferences regarding the rates of flow of individuals through these latent stages before an event of interest occurs.
Adele Marshall
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Extended transit compartment model to describe tumor delay using Coxian distribution [PDF]
Scientific Reports, 2022 The measured response of cell population is often delayed relative to drug injection, and individuals in a population have a specific age distribution. Common approaches for describing the delay are to apply transit compartment models (TCMs).
Jong Hyuk Byun +4 more
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Simulating Coxian phase‐type distributions for patient survival [PDF]
International Transactions in Operational Research, 2009 AbstractCoxian phase‐type distributions are a special type of Markov model that can be used to represent survival times in terms of phases through which an individual may progress until they eventually leave the system completely. Previous research has considered the Coxian phase‐type distribution to be ideal in representing patient survival in ...
Marshall, A, ZENGA, MARIANGELA
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An alternative formulation of Coxian phase‐type distributions with covariates: Application to emergency department length of stay [PDF]
Statistics in Medicine, 2021 In this article, we present a new methodology to model patient transitions and length of stay in the emergency department using a series of conditional Coxian phase‐type distributions, with covariates. We reformulate the Coxian models (standard Coxian, Coxian with multiple absorbing states, joint Coxian, and conditional Coxian) to take into account ...
Jean Rizk, Cathal Walsh, Kevin Burke
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Global stability of an SEIR epidemic model where empirical distribution of incubation period is approximated by Coxian distribution [PDF]
Advances in Difference Equations, 2019 In this work, we have developed a Coxian-distributed SEIR model when incorporating an empirical incubation period. We show that the global dynamics are completely determined by a basic reproduction number.
Sungchan Kim +2 more
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A Multi-Type Queueing Inventory System—A Model for Selection and Allocation of Spectra
Mathematics, 2022 The model discussed in this paper provides an efficient mechanism for the selection and allocation of available limited spectra for transmission of heterogeneous data in a network.
Thulaseedharan Salini Sinu Lal +4 more
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Building mean field ODE models using the generalized linear chain trick & Markov chain theory
Journal of Biological Dynamics, 2021 The well known linear chain trick (LCT) allows modellers to derive mean field ODEs that assume gamma (Erlang) distributed passage times, by transitioning individuals sequentially through a chain of sub-states.
Paul J. Hurtado, Cameron Richards
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Phase-Type Survival Trees to Model a Delayed Discharge and Its Effect in a Stroke Care Unit
Algorithms, 2022 The problem of hospital patients’ delayed discharge or ‘bed blocking’ has long been a challenge for healthcare managers and policymakers. It negatively affects the hospital performance metrics and has other severe consequences for the healthcare system ...
Lalit Garg +6 more
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Mathematics in Applied Sciences and Engineering, 2020 Ordinary differential equations models have a wide variety of applications in the fields of mathematics, statistics, and the sciences. Though they are widely used, these models are sometimes viewed as inflexible with respect to the incorporation of time ...
Paul Hurtado, Cameron Richards
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Naval Research Logistics (NRL), 2021 AbstractThis paper studies load balancing for many‐server (N servers) systems. Each server has a buffer of size b − 1, and can have at most one job in service and b − 1 jobs in the buffer. The service time of a job follows the Coxian‐2 distribution. We focus on steady‐state performance of load balancing policies in the heavy traffic regime such that ...
Xin Liu, Kang Gong, Lei Ying
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