Results 171 to 180 of about 488 (215)

Discrete Analogues of Self-Decomposability and Stability

open access: yesAnnals of Probability, 1979
Analogues are proposed for the concepts of self-decomposability and stability for distributions on the nonnegative integers. It turns out that these "discrete self-decomposable" and "discrete stable" distributions have properties that are quite similar to those of their continuous counterparts.
F W Steutel
exaly   +4 more sources
Some of the next articles are maybe not open access.

Local Subexponentiality and Self-decomposability

Journal of Theoretical Probability, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Toshiro Watanabe   +2 more
exaly   +3 more sources

Subordination and self-decomposability

Statistics and Probability Letters, 2001
Two facts concerning subordination and self-decomposability are established. It is proved that any subordinated process arizing from a Brownian motion with drift and a self-decomposable subordinator is self-decomposable, and that self-decomposable distributions of type \(G\) are not necessarily of type \(G_L\).
Ken-Iti Sato
exaly   +2 more sources

On the self-decomposability of the Fréchet distribution

open access: yesIndagationes Mathematicae, 2013
Let $\{Γ_t, \, t\ge 0\}$ be the Gamma subordinator. Using a moment identification due to Bertoin-Yor (2002), we observe that for every $t > 0$ and $α\in (0,1)$ the random variable $Γ_t^{-α}$ is distributed as the exponential functional of some spectrally negative Lévy process.
Bosch, Pierre, Simon, Thomas
exaly   +3 more sources

Correlating Lévy processes with self-decomposability: applications to energy markets [PDF]

open access: yesDecisions in Economics and Finance, 2021
AbstractBased on the concept of self-decomposability, we extend some recent multidimensional Lévy models built using multivariate subordination. Our aim is to construct multivariate Lévy processes that can model the propagation of the systematic risk in dependent markets with some stochastic delay instead of affecting all the markets at the same time ...
Emanuela Sasso   +2 more
exaly   +4 more sources

Free Self-decomposability and Unimodality of the Fuss–Catalan Distributions [PDF]

open access: yesJournal of Statistical Physics, 2020
16 pages, 2 ...
Wojciech Młotkowski, Yuki Ueda
exaly   +3 more sources

SELF‐DECOMPOSABILITY AND OPTION PRICING

Mathematical Finance, 2006
The risk‐neutral process is modeled by a four parameter self‐similar process of independent increments with a self‐decomposable law for its unit time distribution. Six different processes in this general class are theoretically formulated and empirically investigated.
Yor, Marc   +3 more
openaire   +3 more sources

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