Results 21 to 30 of about 568,969 (316)

On the Moment Characteristics for the Univariate Compound Poisson and Bivariate Compound Poisson Processes with Applications

open access: yesRevista Colombiana de Estadística, 2013
The univariate and bivariate compound Poisson process (CPP and BCPP, respectively) ensure a better description than the homogeneous Poisson process for clustering of events.
GAMZE ÖZEL
doaj   +3 more sources

Asymptotic Distribution of an Estimator for Variance Function of a Compound Periodic Poisson Process with Power Function Trend

open access: yesJTAM (Jurnal Teori dan Aplikasi Matematika), 2022
In this paper, an asymptotic distribution of the estimator for the variance function of a compound periodic Poisson process with power function trend is discussed.
Muhammad Wiranadi Utama   +2 more
doaj   +1 more source

On large deviations for compound mixed Poisson process

open access: yesLietuvos Matematikos Rinkinys, 2013
This paper is designated for normal approximation to the distribution function of the compound mixed Poisson process taking into consideration large deviations both in the Cramér and power Linnik zones.
Aurelija Kasparavičiūtė   +1 more
doaj   +1 more source

A Note on a Modified Parisian Ruin Concept

open access: yesRisks, 2023
Traditionally, Parisian ruin is said to occur when the insurer’s surplus process has stayed below level zero continuously for a certain grace period. Inspired by this concept, in this paper we propose a modification by assuming that once a grace period ...
Eric C. K. Cheung, Jeff T. Y. Wong
doaj   +1 more source

Bivariate compound Poisson risk processes with shocks

open access: yesAIP Conference Proceedings, 2023
The work is presented on Fourteenth Conference of the Euro-American Consortium for Promoting the Application of Mathematics in Technical and Natural Sciences, Albena, Bulgaria, June 22-27 ...
Jordanova, Pavlina   +2 more
openaire   +2 more sources

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

Time-dependent solutions for a stochastic model of gene expression with molecule production in the form of a compound Poisson process. [PDF]

open access: yesPhysical Review E, 2016
We study a stochastic model of gene expression, in which protein production has a form of random bursts whose size distribution is arbitrary, whereas protein decay is a first-order reaction.
Jakub Jędrak, A. Ochab-Marcinek
semanticscholar   +1 more source

Large deviations for processes on half-line: Random walk and compound Poisson process [PDF]

open access: yesSibirskie Elektronnye Matematicheskie Izvestiya, 2016
We establish, under the Cramer exponential moment condition in a neighbourhood of zero, the Extended Large Deviation Principle for the Random Walk and the Compound Poisson processes in the metric space $\V$ of functions of finite variation on $[0,\infty)$
F. Klebaner, A. Mogulskii
semanticscholar   +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

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