Results 21 to 30 of about 13,654 (302)

Optimal control of compound Poisson processes [PDF]

open access: yesITM Web of Conferences, 2022
The problem of controlling a compound Poisson process until it leaves an interval is considered. This type of problem is known as a homing problem. To determine the value of the optimal control, we must solve a nonlinear integro-differential equation ...
Lefebvre Mario
doaj   +1 more source

Theorems on large deviations for the sum of random number of summands

open access: yesLietuvos Matematikos Rinkinys, 2010
In this paper, we present the rate of convergence of normal approximation and the theorem on large deviations for a compound process Zt = \sumNt i=1 t aiXi, where Z0 = 0 and ai > 0, of weighted independent identically distributed random variables Xi, i =
Aurelija Kasparavičiūtė   +1 more
doaj   +1 more source

A characterization of equivalent martingale measures in a renewal risk model with applications to premium calculation principles

open access: yesModern Stochastics: Theory and Applications, 2020
Generalizing earlier work of Delbaen and Haezendonck for given compound renewal process S under a probability measure P we characterize all probability measures Q on the domain of P such that Q and P are progressively equivalent and S remains a compound ...
Nikolaos D. Macheras   +1 more
doaj   +1 more source

An explicit compound Poisson process-based shock deterioration model for reliability assessment of aging structures

open access: yesJournal of Traffic and Transportation Engineering (English ed. Online), 2022
Existing structures may suffer from resistance deterioration due to repeated attacks. The modeling of resistance deterioration is a critical ingredient in the reliability assessment and service life prediction of these degraded structures. In this paper,
Cao Wang
doaj   +1 more source

Wavelet Compressibility of Compound Poisson Processes

open access: yesCoRR, 2020
In this paper, we precisely quantify the wavelet compressibility of compound Poisson processes. To that end, we expand the given random process over the Haar wavelet basis and we analyse its asymptotic approximation properties. By only considering the nonzero wavelet coefficients up to a given scale, what we call the greedy approximation, we exploit ...
Shayan Aziznejad, Julien Fageot
openaire   +2 more sources

Spatial modelling of claim frequency and claim size in insurance [PDF]

open access: yes, 2005
In this paper models for claim frequency and claim size in non-life insurance are considered. Both covariates and spatial random e ects are included allowing the modelling of a spatial dependency pattern.
Gschlößl, Susanne, Czado, Claudia
core   +1 more source

Using the Poisson queueing model to improve the queue in Periodic Vehicles Inspection PVI company in Erbil city

open access: yesZanco Journal of Humanity Sciences, 2022
In this research we have dealt with the number of customers (cars) arrive at Periodic vehicles Inspection (PVI) company in Erbil city according to poisson process, service time follows an exponential distribution and the number of cars that require ...
Bestun Merza Abdul-Kareem   +1 more
doaj   +1 more source

Compositions of Poisson and Gamma processes

open access: yesModern Stochastics: Theory and Applications, 2017
In the paper we study the models of time-changed Poisson and Skellam-type processes, where the role of time is played by compound Poisson-Gamma subordinators and their inverse (or first passage time) processes.
Khrystyna Buchak, Lyudmyla Sakhno
doaj   +1 more source

Properties of Poisson processes directed by compound Poisson-Gamma subordinators [PDF]

open access: yesModern Stochastics: Theory and Applications, 2018
Published at https://doi.org/10.15559/18-VMSTA101 in the Modern Stochastics: Theory and Applications (https://www.i-journals.org/vtxpp/VMSTA) by VTeX (http://www.vtex.lt/)
Khrystyna Buchak, Lyudmyla Sakhno
openaire   +3 more sources

Variance Gamma (nonlocal) equations

open access: yesModern Stochastics: Theory and Applications, 2023
Some equations are provided for the Variance Gamma process using the definition other than that based on a time-changed Brownian motion. A new nonlocal equation is obtained involving generalized Weyl derivatives, which is true even in the drifted case ...
Fausto Colantoni
doaj   +1 more source

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