Results 261 to 270 of about 6,349,849 (305)

Seminar on Stochastic Processes, ...

open access: yes, 1987
Çınlar, Erhan 1941-   +1 more
core  

Generalized Stochastic Processes

Compact Textbooks in Mathematics, 2018
Stefan Schaffler
exaly   +2 more sources

A GENERAL SUBORDINATED STOCHASTIC PROCESS FOR DERIVATIVES PRICING

International Journal of Theoretical and Applied Finance, 2001
A general subordinated stochastic process is proposed to model the dynamics of the underlying asset of an option. We prove that this class of models can be considered generically as the limit of discrete time models in which the number of transactions is random. We also derive several results for the valuation of contingent claims in this framework. In
Lesne, J., Prigent, Jean-Luc
openaire   +4 more sources

Stochastic Processes in General

1996
Let (Ω, F, P) be a probability space, (E, e) a measurable space, and Σ an arbitrary set. A stochastic process is a family X = { X t : t ∈ Σ} of random variables X t : Ω ↦ E. The space (E, e) is refered to as the state space of X. Given a point w in the sample space Ω the mapping t ↦ X t (ω) is called a trajectory or realization or sample path of the ...
Andrei N. Borodin, Paavo Salminen
openaire   +1 more source

Generalized Stochastic Processes

SSRN Electronic Journal, 2009
We introduce a general stochastic process that is not necessarily a diffusion/jump process and the random variable is not necessarily normally distributed.
openaire   +1 more source

A Stochastic Process Generated by the Lévy Laplacian

Acta Applicandae Mathematica, 2000
Let \(\Phi\) be a generalized white noise functional. The \(S\)-transform is defined as \(S[\Phi](\xi)=\exp(-{{1}\over{2}}\langle \xi,\xi\rangle)\) \(\langle \Phi(\cdot),\exp\langle \cdot,\xi\rangle\rangle\), where \(\exp\langle \cdot,\xi\rangle\) is a testing functional generated by a function \(\xi\) on the finite interval \(T\). The Lévy Laplacian \(
openaire   +1 more source

Modelling Data with Stochastic Generative Processes

2020
Learning and modelling complex data with generative models is a prominent research topic in modern artificial intelligence since generative models empower us to answer fundamental and important research questions into the generative processes of algorithmic intelligence.
openaire   +1 more source

NONLINEAR STOCHASTIC WAVE EQUATION WITH COLOMBEAU GENERALIZED STOCHASTIC PROCESSES

Mathematical Models and Methods in Applied Sciences, 2002
Colombeau generalized stochastic processes are introduced in order to solve nonlinear wave and Klein–Gordon equations with stochastic processes. Particular cases include one- and three-dimensional wave and Klein–Gordon equations with Lipschitz and cubic nonlinearities.
Nedeljkov, Marko   +1 more
openaire   +1 more source

On stochastic processes generated by a stochastic intensity function

Scandinavian Actuarial Journal, 1971
Abstract In this paper we are going to study some properties of a point process, which has been proposed by Cramer [4] as a model of the claims arising in an insurance company. This process has been studied by Cox in a different context. A few elementary results, concerning moments, are given in Cox and Lewis [2].
openaire   +2 more sources

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