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Barbara Martinucci
Researcher at University of Salerno
Publications - 67
Citations - 493
Barbara Martinucci is an academic researcher from University of Salerno. The author has contributed to research in topics: Telegraph process & Stochastic process. The author has an hindex of 11, co-authored 63 publications receiving 399 citations. Previous affiliations of Barbara Martinucci include University of Naples Federico II.
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A damped telegraph random process with logistic stationary distribution
TL;DR: In this article, a stochastic process that describes a finite-velocity damped motion on the real line is introduced, where the random times between consecutive velocity changes have exponential distribution with linearly increasing parameters.
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On the Generalized Telegraph Process with Deterministic Jumps
TL;DR: In this paper, the authors considered a semi-Markovian generalization of the integrated telegraph process subject to jumps and obtained the formal expressions of the forward and backward transition densities of the motion.
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Generalized telegraph process with random jumps
TL;DR: In this article, the authors considered a generalized telegraph process which follows an alternating renewal process and is subject to random jumps, and developed the distribution of the location of the particle at an arbitrary fixed time t, and study this distribution under the assumption of exponentially distributed alternating random times.
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A fractional counting process and its connection with the Poisson process
TL;DR: In this article, a fractional counting process with jumps of amplitude 1,2,...,k, withk∈N, whose probabilistic ability to satisfy a suitablesystemoffractionaldifference-differential equations is considered.
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Compound Poisson process with a Poisson subordinator
TL;DR: The first-crossing time problem for the iterated Poisson process is finally tackled in the cases of a decreasing and constant boundary, where some closed-form results are provided and a linearly increasing boundary where an iterative procedure is proposed to compute the first-Crossing time density and survival functions.