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Published in 2024 at "Stochastics and Partial Differential Equations: Analysis and Computations"
DOI: 10.1007/s40072-025-00366-z
Abstract: We consider a stochastic PDE driven by a parabolic second order partial differential operator with non-constant coefficients and with a nonlinear random external forcing given by a Gaussian noise that is white in time and…
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Keywords:
sample path;
path regularity;
non autonomous;
autonomous uniformly ... See more keywords
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Published in 2019 at "Journal of Econometrics"
DOI: 10.1016/j.jeconom.2019.01.002
Abstract: This paper studies a continuous time dynamic system with a random persistence parameter. The exact discrete time representation is obtained and related to several discrete time random coefficient models currently in the literature. The model…
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Keywords:
coefficient continuous;
continuous systems;
sample path;
extreme sample ... See more keywords
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Published in 2020 at "IEEE Transactions on Information Theory"
DOI: 10.1109/tit.2019.2945290
Abstract: We present a sample path dependent measure of causal influence between time series. The proposed causal measure is a random sequence, a realization of which enables identification of specific patterns that give rise to high…
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Keywords:
path causal;
measuring sample;
path;
sample path ... See more keywords
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Published in 2024 at "Mathematics"
DOI: 10.3390/math12233641
Abstract: Discrete, finite-state Markov chains are applied in many different fields. When a system is modeled as a discrete, finite-state Markov chain, the asymptotic properties of the system, such as the steady-state distribution, are often estimated…
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Keywords:
markov chain;
sample path;
based single;
steady state ... See more keywords