Zobrazeno 1 - 10
of 33
pro vyhledávání: '"Wissem Jedidi"'
Publikováno v:
AIMS Mathematics, Vol 9, Iss 5, Pp 11372-11395 (2024)
We were interested in Bernstein and Lévy measures having certain convexity-type properties. The convexity-type properties were an extension of the harmonic convexity property considered in [9]. We characterized the corresponding completely monotone
Externí odkaz:
https://doaj.org/article/dbb3cfa937ce449c8fdb777a17ae172f
Autor:
Nuha Altaymani, Wissem Jedidi
Publikováno v:
Mathematics, Vol 11, Iss 19, p 4141 (2023)
Hyperbolic complete monotonicity property (HCM) is a way to check if a distribution is a generalized gamma (GGC), hence is infinitely divisible. In this work, we illustrate to which extent the Mittag-Leffler functions Eα,α∈(0,2], enjoy the HCM pr
Externí odkaz:
https://doaj.org/article/f921bdebf5d84d9b87588fef1210fd74
Autor:
Rafik Aguech, Wissem Jedidi
Publikováno v:
Arab Journal of Mathematical Sciences, Vol 25, Iss 1, Pp 57-82 (2019)
We give several new characterizations of completely monotone functions and Bernstein functions via two approaches: the first one is driven algebraically via elementary preserving mappings and the second one is developed in terms of the behavior of th
Externí odkaz:
https://doaj.org/article/bdadc368864f4b00a1a14a5ba78d2db4
Autor:
Wissem Jedidi
Publikováno v:
Complexity, Vol 2021 (2021)
We consider statistical experiments associated with a Lévy process X=Xtt≥0 observed along a deterministic scheme iun, 1≤i≤n. We assume that under a probability ℙθ, the r.v. Xt, t>0, has a probability density function >o, which is regular en
Externí odkaz:
https://doaj.org/article/edc49d8411c042458367c464f34dd9e3
Autor:
Fethi Bouzeffour, Wissem Jedidi
Publikováno v:
Mathematics, Vol 8, Iss 2, p 193 (2020)
We provide a realization of fractional supersymmetry quantum mechanics of order r, where the Hamiltonian and the supercharges involve the fractional Dunkl transform as a Klein type operator. We construct several classes of functions satisfying certai
Externí odkaz:
https://doaj.org/article/999913e29b324cf6b52fe79398160363
Autor:
Wissem Jedidi
Publikováno v:
Abstract and Applied Analysis, Vol 2014 (2014)
In Internet traffic modeling, many authors presented models based on particular fractal shot noise representations. The inconvenience of these approaches is the multitude of assumptions and the lack of tools to check them. In this paper we propose a
Externí odkaz:
https://doaj.org/article/c5e7a6f0182f44028a9867bf9c3a7edb
Autor:
Fethi Bouzeffour, Wissem Jedidi
Publikováno v:
Integral Transforms and Special Functions. 34:228-243
Publikováno v:
Journal of Theoretical Probability.
Publikováno v:
Mathematical Methods in the Applied Sciences. 45:7162-7185
Autor:
Wissem Jedidi
Publikováno v:
Open Mathematics. 20:911-930
We consider a jump Markov process X = ( X t ) t ≥ 0 X={\left({X}_{t})}_{t\ge 0} , with values in a state space ( E , ℰ ) \left(E,{\mathcal{ {\mathcal E} }}) . We suppose that the corresponding infinitesimal generator π θ ( x , d y ) , x ∈ E {