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Investigating the efficiency of fitting Coxian phase-type distributions to health care data [PDF]
IMA Journal of Management Mathematics, 2011 Coxian phase-type distributions are becoming a popular means of representing survival times within a health care environment. They are favoured as they show a distribution as a system of phases and can allow for an easy visual representation of the rate of flow of patients through a system.
Payne, Kieran +2 more
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2010 7th International Conference on Electrical Engineering Computing Science and Automatic Control, 2010
In this paper, the Coxian distribution model to characterize users' mobility (through cell dwell time) is proposed and its application for the teletraffic analysis of mobile cellular networks is presented. To the best authors' knowledge, Coxian distribution has not been previously considered in the literature to characterize users' mobility in cellular
Felipe A Cruz-Pérez +1 more
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In this paper, the Coxian distribution model to characterize users' mobility (through cell dwell time) is proposed and its application for the teletraffic analysis of mobile cellular networks is presented. To the best authors' knowledge, Coxian distribution has not been previously considered in the literature to characterize users' mobility in cellular
Felipe A Cruz-Pérez +1 more
exaly +2 more sources
Modelling a Bathtub-Shaped Failure Rate by a Coxian Distribution
IEEE Transactions on Reliability, 2016We build a Coxian random variable model to describe characterizations of a bathtub-shaped failure rate and present a perturbation to the Coxian random variable. In the perturbation, the corresponding probability density function is a linear combination of exponentials, and weights may be negative.
Qihong Duan, Junrong Liu
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On the Three-Moment Approximation of a General Distribution by a Coxian Distribution
Probability in the Engineering and Informational Sciences, 1988The Coxian-2 distribution is a very useful distribution for queuing and reliability analysis. It is important to know when a general probability distribution can be approximated by a Coxian-2 distribution by fitting the first three moments. For a positive random variable with a squared coefficient of variation larger than 1, a lower bound on its third ...
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On inferring the number of phases in a coxian phase-type distribution
Communications in Statistics. Stochastic Models, 1998Summary: Coxian phase-type distributions of increasing order were fitted to simulated exponential data by maximum likelihood, and the distributions of the resulting likelihood ratio statistic considered. These distributions resembled mixed chi-squared distributions with mixing probabilities related to parameter redundancies apparent from the estimates ...
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Estimating the costs for a group of geriatric patients using the Coxian phase‐type distribution
Statistics in Medicine, 2006AbstractThe length of stay in hospital of geriatric patients may be modelled using the Coxian phase‐type distribution. This paper examines previous methods which have been used to model health‐care costs and presents a new methodology to estimate the costs for a cohort of patients for their duration of stay in hospital, assuming there are no further ...
Adele H, Marshall +2 more
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The use of Coxian distribution in closed-form treatment of stochastic Petri nets
2007 Mediterranean Conference on Control & Automation, 2007In this paper we propose a method for delay approximation in stochastic Petri nets. The method is based on utilization of Coxian distribution and least square fitting criteria. The problem is reduced to a direct parameters identification. Two examples illustrate the method application.
Petr Janecek, Jiri Mosna, Pavel Prautsch
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2010 IEEE 34th Annual Computer Software and Applications Conference, 2010
The generalized software reliability model on the basis of nonstationary Markovian system of service is proposed. Approximation by distribution of Cox allows investigating growth of software reliability for any kinds of distribution of time between the moments of detection of errors and exponential distributions of time of their correction.
Vladimir P. Bubnov +2 more
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The generalized software reliability model on the basis of nonstationary Markovian system of service is proposed. Approximation by distribution of Cox allows investigating growth of software reliability for any kinds of distribution of time between the moments of detection of errors and exponential distributions of time of their correction.
Vladimir P. Bubnov +2 more
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On the waiting time distribution in a GI/G/1 queue with a Coxian–2 service time distribution
Statistica Neerlandica, 1989The purpose of this paper is to derive in an alternative way the result that the complementary waiting–time distribution function in the Gl/G/I queue is the sum of two exponential functions when the service time has a Coxian–2 distribution. The idea is to interpret this type of service–time distribution as the sum of a stochastic number of ...
J.C.W. van Ommeren, R.D. Nobel
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2011 IEEE Wireless Communications and Networking Conference, 2011
In this paper, a general teletraffic analysis to evaluate the performance of cognitive radio networks with arbitrary order Coxian distributed channel holding time in the primary network is developed. The relevance of the considered Coxian model relies on its universality property, mathematical tractability, reduced dimensionality, and the fact that it ...
S. Lirio Castellanos-Lopez +2 more
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In this paper, a general teletraffic analysis to evaluate the performance of cognitive radio networks with arbitrary order Coxian distributed channel holding time in the primary network is developed. The relevance of the considered Coxian model relies on its universality property, mathematical tractability, reduced dimensionality, and the fact that it ...
S. Lirio Castellanos-Lopez +2 more
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