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A new age‐ and state‐dependent degradation process with possibly negative increments
AbstractA new age‐ and state‐dependent degradation process is proposed, which can be used in the case the degradation phenomenon under study is not necessarily monotonic increasing. In particular, the degradation increments of the proposed model are assumed to be possibly dependent on each other and negative.
Massimiliano Giorgio, Gianpaolo Pulcini
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Time-resolved chiroptical luminescence (TR-CL) measurements are used to study chirality-dependent intermolecular interactions in dynamic excited-state quenching processes. The measurements are carried out on solution samples that contain a racemic mixture of chiral luminophore molecules (with enantiomeric structures denoted by LambdaL and DeltaL) and a
James P. Bolender, F. S. Richardson
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The Multifaceted Behavior of Integrated supOU Processes: The Infinite Variance Case [PDF]
The so-called supOU processes, namely the superpositions of Ornstein–Uhlenbeck type processes, are stationary processes for which one can specify separately the marginal distribution and the temporal dependence structure. They can have finite or infinite
D. Grahovac, N. Leonenko, M. Taqqu
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Reliability analysis for systems subject to mutually dependent degradation and shock processes
Proceedings of the Institution of Mechanical Engineers. Part O, Journal of risk and reliability, 2021This paper studies the reliability problem for systems subject to two types of dependent competing failure processes, that is, soft failure and hard failure processes.
Lina Bian, G. Wang, Fengjun Duan
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Queues with path-dependent arrival processes
Journal of Applied Probability, 2021We study the transient and limiting behavior of a queue with a Pólya arrival process. The Pólya process is interesting because it exhibits path-dependent behavior, e.g.
K. Fendick, W. Whitt
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Physical Review E, 2020
Heterogeneous diffusion processes (HDPs) feature a space-dependent diffusivity of the form D(x)=D_{0}|x|^{α}. Such processes yield anomalous diffusion and weak ergodicity breaking, the asymptotic disparity between ensemble and time averaged observables ...
Wei Wang+3 more
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Heterogeneous diffusion processes (HDPs) feature a space-dependent diffusivity of the form D(x)=D_{0}|x|^{α}. Such processes yield anomalous diffusion and weak ergodicity breaking, the asymptotic disparity between ensemble and time averaged observables ...
Wei Wang+3 more
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BROWNIAN MOTION MINUS THE INDEPENDENT INCREMENTS: REPRESENTATION AND QUEUING APPLICATION
Probability in the engineering and informational sciences (Print), 2020This paper relaxes assumptions defining multivariate Brownian motion (BM) to construct processes with dependent increments as tractable models for problems in engineering and management science.
K. Fendick
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Estimation of model parameters of dependent processes constructed using Lévy Copulas
Communications in statistics. Simulation and computation, 2019The degradations of engineering components can be dependent. This study considers that a d-dimensional subordinator constructed based on Lévy copula can be used to model the dependency.
Wenjun Jiang, H. Hong, Jiandong Ren
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Communications in Statistics - Theory and Methods, 2020
On the basis of Wang and Cheng (J. Math. Anal. Appl. 384 (2011) 597–606), this paper further investigates elementary renewal theorems for counting processes generated by random walks with widely orthant dependent increments.
Yuebao Wang, Dongya Cheng
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On the basis of Wang and Cheng (J. Math. Anal. Appl. 384 (2011) 597–606), this paper further investigates elementary renewal theorems for counting processes generated by random walks with widely orthant dependent increments.
Yuebao Wang, Dongya Cheng
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