Results 1 to 10 of about 11,382,550 (291)
Multivariate Fractional Phase—Type Distributions [PDF]
Fractional Calculus and Applied Analysis, 2020 We extend the Kulkarni class of multivariate phase--type distributions in a natural time--fractional way to construct a new class of multivariate distributions with heavy-tailed Mittag-Leffler(ML)-distributed marginals. The approach relies on assigning rewards to a non--Mar\-ko\-vi\-an jump process with ML sojourn times.
Albrecher, Hansjörg +2 more
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Phase-Type Distributions of Animal Trajectories with Random Walks
Mathematics, 2023 Animal monitoring systems often rely on expensive and challenging GPS-based systems to obtain accurate trajectories. However, an alternative approach is to generate synthetic trajectories that exhibit similar statistical properties to real trajectories ...
Rodolfo Vera-Amaro +2 more
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Estimating Tail Probabilities of Random Sums of Phase-Type Scale Mixture Random Variables
Algorithms, 2022 We consider the problem of estimating tail probabilities of random sums of scale mixture of phase-type distributions—a class of distributions corresponding to random variables which can be represented as a product of a non-negative but otherwise ...
Hui Yao, Thomas Taimre
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A Complex Model via Phase-Type Distributions to Study Random Telegraph Noise in Resistive Memories
Mathematics, 2021 A new stochastic process was developed by considering the internal performance of macro-states in which the sojourn time in each one is phase-type distributed depending on time.
Juan E. Ruiz-Castro +3 more
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Mathematics, 2021 A new probability distribution to study lifetime data in reliability is introduced in this paper. This one is a first approach to a non-homogeneous phase-type distribution. It is built by considering one cut-point in the non-negative semi-line of a phase-
Christian Acal +3 more
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MoMA Algorithm: A Bottom-Up Modeling Procedure for a Modular System under Environmental Conditions
Mathematics, 2022 The functioning of complex systems relies on subsystems (modules) that in turn are composed of multiple units. In this paper, we focus on modular systems that might fail due to wear on their units or environmental conditions (shocks).
María Luz Gámiz +3 more
doaj +1 more source
Mathematics, 2021 A longitudinal study for 847 bladder cancer patients for a period of fifteen years is presented. After the first surgery, the patients undergo successive ones (recurrences).
Delia Montoro-Cazorla +2 more
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A Kronecker Algebra Formulation for Markov Activity Networks with Phase-Type Distributions
Mathematics, 2021 The application of theoretical scheduling approaches to the real world quite often crashes into the need to cope with uncertain events and incomplete information. Stochastic scheduling approaches exploiting Markov models have been proposed for this class
Alessio Angius +2 more
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On the canonical representation of phase type distributions [PDF]
Performance Evaluation, 2009 The characterization and the canonical representation of order-n phase type distributions (PH(n)) is an open research problem. This problem is solved for n=2, since the equivalence of the acyclic and the general PH distributions has been proven for a long time.
Gábor Horváth 0002, Miklós Telek
openaire +2 more sources
Queuing models for cellular networks with generalised Erlang service distributions
Journal of Telecommunications and Information Technology, 2003 Providing seamless handover is one of the major problems in mobile communication environments. Careful dimensioning of the network and the underlying teletraffic analysis plays a major role in determining the various grade of services (GoSs) that can be
Aruna Jayasuriya
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