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
doaj +4 more sources
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 H Marshall
exaly +7 more sources
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
exaly +4 more sources
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
doaj +4 more sources
Journal of Probability and Statistics, 2019 This paper presents analytically explicit results for the distribution of the number of customers served during a busy period for special cases of the M/G/1 queues when initiated with m customers.
M. L. Chaudhry, Veena Goswami
doaj +2 more sources
Study design for restricted mean time analysis of recurrent events and death. [PDF]
Biometrics, 2023 Abstract The restricted mean time in favor (RMT‐IF) of treatment has just been added to the analytic toolbox for composite endpoints of recurrent events and death. To help practitioners design new trials based on this method, we develop tools to calculate the sample size and power.
Mao L.
europepmc +2 more sources
Prediction and Analysis of Length of Stay Based on Nonlinear Weighted XGBoost Algorithm in Hospital.
J Healthc Eng, 2021 An improved nonlinear weighted extreme gradient boosting (XGBoost) technique is developed to forecast length of stay for patients with imbalance data. The algorithm first chooses an effective technique for fitting the duration of stay and determining the distribution law and then optimizes the negative log likelihood loss function using a heuristic ...
Chen Y.
europepmc +2 more sources
Understanding Dynamic Status Change of Hospital Stay and Cost Accumulation via Combining Continuous and Finitely Jumped Processes. [PDF]
Comput Math Methods Med, 2018 The Coxian phase‐type models and the joint models of longitudinal and event time have been extensively used in the studies of medical outcome data. Coxian phase‐type models have the finite‐jump property while the joint models usually assume a continuous variation. The gap between continuity and discreteness makes the two models rarely used together. In
Zheng Y, Zhao X, Zhang X.
europepmc +2 more sources
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
doaj +1 more source
Computing the expected cost of an appointment schedule for statistically identical customers with probabilistic service times. [PDF]
ScientificWorldJournal, 2014 A cogent method is presented for computing the expected cost of an appointment schedule where customers are statistically identical, the service time distribution has known mean and variance, and customer no‐shows occur with time‐dependent probability.
Dietz DC.
europepmc +2 more sources