An Objective Measure of Distributional Estimability as Applied to the Phase-Type Aging Model
RisksThe phase-type aging model (PTAM) is a class of Coxian-type Markovian models that can provide a quantitative description of the effects of various aging characteristics.
Cong Nie, Xiaoming Liu, Serge B. Provost
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Modelling Students' Length of Stay at University Using Coxian Phase-type Distributions
International Journal of Statistics and Probability, 2013 The time that Italian students spend at university is remarkably longer than in other European universities. For this reason, the government has recently introduced new rules for academic courses, in order to reduce the issue of long term students. In addition to this, universities need to address the growing problem of students prematurely leaving ...
ZENGA M, MARSHALL A, GIORDANO, Sabrina
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Distribution and Moments of the Idle Period and Interarrival Time in the G/M/1 Queueing System
IEEE AccessThe Idle period is relevant in a wide variety of systems and has been extensively studied in the literature. This paper derives the distribution and moments of the idle period for different interrarrival time distributions in the G/M/1 queueing system ...
Felipe A. Cruz-Perez +3 more
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On the Non-uniqueness of Representations of Coxian Phase-Type Distributions
, 2019 Parameter estimation in Coxian phase-type models can be challenging due to their non-unique representation leading to a multi-modal likelihood. Since each representation corresponds to a different underlying data-generating mechanism, it is of interest to identify those supported by given data (i.e., find all likelihood modes). The standard approach is
Rizk, Jean, Burke, Kevin, Walsh, Cathal
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Comrade Black Distribution [February 1998 catalogue]
, 1998 The catalog of a D.I.Y. retail distributor of political and small press books and pamphlets. Started in 1996, CB Distribution is an effort to counter the homogeneity of political and artistic thought that dominates the mainstream media.
Comrade Black Distribution
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How Kirkwood and Probability Distributions Differ: A Coxian Perspective
, 2016 Kolmogorov's first axiom of probability is probability takes values between 0 and 1; however, in Cox's derivation of probability having a maximum value of unity is arbitrary since he derives probability as a tool to rank degrees of plausibility. Probability can then be used to make inferences in instances of incomplete information, which is the ...
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A new method to construct high-dimensional copulas with Bernoulli and Coxian-2 distributions
Journal of Multivariate AnalysisWe propose an approach to construct a new family of generalized Farlie-Gumbel-Morgenstern (GFGM) copulas that naturally scales to high dimensions. A GFGM copula can model moderate positive and negative dependence, cover different types of asymmetries, and admits exact expressions for many quantities of interest such as measures of association or risk ...
Christopher Blier-Wong +3 more
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The Shape of Phylogenies Under Phase-Type Distributed Times to Speciation and Extinction. [PDF]
Bull Math Biol, 2022 Soewongsono AC, Holland BR, O'Reilly MM.
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Phase-type models for competing risks, with emphasis on identifiability issues. [PDF]
Lifetime Data Anal, 2023 Lindqvist BH.
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Lattice path approach for busy period density of M/G/1 queues using C3 Coxian distribution
Applied Mathematical Modelling, 2007 This paper introduce a new approach to analysing the queueing process, namely lattice paths (LPs). Starting with the \(M/G/1\) queueing system with \(i_{0}\) customers, the authors analyze a busy period with the LP approach. The general distribution in the \(M/G/1\) queueing system is approximated by 3-phase Cox distribution, \(C_{3}\).
Agarwal, Manju +2 more
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