Results 21 to 30 of about 45,963 (130)
The Fractional Poisson Process and the Inverse Stable Subordinator
Electronic Journal of Probability, 2011 22 pages, version submitted on December 2 ...
Meerschaert, Mark +2 more
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Laplace-Laplace analysis of the fractional Poisson process
, 2012 We generate the fractional Poisson process by subordinating the standard Poisson process to the inverse stable subordinator. Our analysis is based on application of the Laplace transform with respect to both arguments of the evolving probability densities.
R. Gorenflo, MAINARDI, FRANCESCO
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Tempered fractional Poisson processes and fractional equations with Z-transform [PDF]
Stochastic Analysis and Applications, 2020 In this article, we derive the state probabilities of different type of space- and time-fractional Poisson processes using z-transform. We work on tempered versions of time-fractional Poisson process and space-fractional Poisson processes. We also introduce Gegenbauer type fractional differential equations and their solutions using z-transform.
Gupta, Neha, Kumar, Arun, Leonenko, N.
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Compositions, Random Sums and Continued Random Fractions of Poisson and Fractional Poisson Processes [PDF]
Journal of Statistical Physics, 2012 In this paper we consider the relation between random sums and compositions of different processes. In particular, for independent Poisson processes $N_α(t)$, $N_β(t)$, $t>0$, we show that $N_α(N_β(t)) \overset{\text{d}}{=} \sum_{j=1}^{N_β(t)} X_j$, where the $X_j$s are Poisson random variables. We present a series of similar cases, the most general
E. Orsingher, POLITO, Federico
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Biased Continuous-Time Random Walks with Mittag-Leffler Jumps
Fractal and Fractional, 2020 We construct admissible circulant Laplacian matrix functions as generators for strictly increasing random walks on the integer line. These Laplacian matrix functions refer to a certain class of Bernstein functions.
Thomas M. Michelitsch +2 more
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Fractional Criticality Theory and Its Application in Seismology
Fractal and Fractional, 2023 To understand how the temporal non-locality («memory») properties of a process affect its critical regimes, the power-law compound and time-fractional Poisson process is presented as a universal hereditary model of criticality.
Boris Shevtsov, Olga Sheremetyeva
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Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2022 В статье рассматриваются два алгоритма построения последовательностей форшоков, связанных с главным событием заданной энергии, на основе ранее разработанной авторами статистической модели деформационного процесса.
Шереметьева, О.В. +1 more
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Fractional Poisson Fields and Martingales [PDF]
, 2017 We present new properties for the Fractional Poisson process and the Fractional Poisson field on the plane. A martingale characterization for Fractional Poisson processes is given.
Aletti, Giacomo +2 more
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Skellam Type Processes of Order k and Beyond
Entropy, 2020 In this article, we introduce the Skellam process of order k and its running average. We also discuss the time-changed Skellam process of order k. In particular, we discuss the space-fractional Skellam process and tempered space-fractional Skellam ...
Neha Gupta, Arun Kumar, Nikolai Leonenko
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NON-CONVEX HYBRID TOTAL VARIATION FOR RESTORING MEDICAL IMAGE CORRUPTED BY POISSON NOISE [PDF]
The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, 2023 In this work, we proposed the hybrid non-convex regularizers for Poisson noise removal on medical images. The model is built by a combination of non-convex total variation and non-convex fractional total variation.
T. T. T. Tran +5 more
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