Results 21 to 30 of about 50,463 (273)
Fractional Model of the Deformation Process
Fractal and Fractional, 2022 The article considers the fractional Poisson process as a mathematical model of deformation activity in a seismically active region. The dislocation approach is used to describe five modes of the deformation process.
Olga Sheremetyeva, Boris Shevtsov
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Generalized Fractional Poisson Process and Related Stochastic Dynamics [PDF]
Fractional Calculus and Applied Analysis, 2020 38 Pages, 4 ...
Michelitsch, Thomas +1 more
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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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