Non-Homogeneous Semi-Markov and Markov Renewal Processes and Change of Measure in Credit Risk [PDF]
Mathematics, 2020 For a G-inhomogeneous semi-Markov chain and G-inhomogeneous Markov renewal processes, we study the change from real probability measure into a forward probability measure.
P.-C.G. Vassiliou
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Informational and Causal Architecture of Continuous-time Renewal and Hidden Semi-Markov Processes
, 2016 We introduce the minimal maximally predictive models ( -machines) of processes generated by certain hidden semi-Markov models. Their causal states are either hybrid discrete-continuous or continuous random variables and causal-state transitions are described by partial differential equations.
Marzen, Sarah E., Crutchfield, James P.
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Inferring broken detailed balance in the absence of observable currents. [PDF]
Nat Commun, 2019 Identifying dissipation is essential for understanding the physical mechanisms underlying nonequilibrium processes. {In living systems, for example, the dissipation is directly related to the hydrolysis of fuel molecules such as adenosine triphosphate ...
Martínez IA +3 more
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Controlled Discrete-Time Semi-Markov Random Evolutions and Their Applications
Mathematics, 2021 In this paper, we introduced controlled discrete-time semi-Markov random evolutions. These processes are random evolutions of discrete-time semi-Markov processes where we consider a control. applied to the values of random evolution.
Anatoliy Swishchuk, Nikolaos Limnios
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A Semi-Markov Model with Geometric Renewal Processes
Methodology and Computing in Applied Probability, 2023 Abstract We consider a system modeled by a semi-Markov process where we include geometric renewal process for sojourn times. Pérez-Ocón and Torres-Castro first study this system [1]. In our work here we consider an extended state space for up and down times separately. This allows us to use the standard theory for semi-Markov processes in order
Zhang, Jingqi +2 more
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Semi-Markov Model of the System of Repairs and Preventive Replacements by Age of City Buses
Applied Sciences, 2021 The paper presents a mathematical model of the system of repairs and preventive replacements by age of city buses. The mathematical model was developed using the theory of semi-Markov processes.
Klaudiusz Migawa +3 more
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A Markov regenerative process with recurrence time and its application
Financial Innovation, 2021 This study proposes a non-homogeneous continuous-time Markov regenerative process with recurrence times, in particular, forward and backward recurrence processes. We obtain the transient solution of the process in the form of a generalized Markov renewal
Puneet Pasricha, Dharmaraja Selvamuthu
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System-theoretical algorithmic solution to waiting times in semi-Markov queues [PDF]
, 2009 Cataloged from PDF version of article.Markov renewal processes with matrix-exponential semi-Markov kernels provide a generic tool for modeling auto-correlated interarrival and service times in queueing systems.
Akar, N., Sohraby, K.
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A class of CTRWs: Compound fractional Poisson processes [PDF]
, 2011 This chapter is an attempt to present a mathematical theory of compound fractional Poisson processes. The chapter begins with the characterization of a well-known L\'evy process: The compound Poisson process.
Scalas, Enrico
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Continuous-time statistics and generalized relaxation equations [PDF]
, 1995 Using two simple examples, the continuous-time random walk as well as a two state Markov chain, the relation between generalized anomalous relaxation equations and semi-Markov processes is illustrated.
Scalas, Enrico
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