HAWKES PROCESSES ON LARGE NETWORKS [PDF]
International audienceWe generalise the construction of multivariate Hawkes processes to a possibly infinite network of counting processes on a directed graph G.
Hoffmann, Marc +2 more
core +4 more sources
ASYMPTOTIC NORMALITY OF A KERNEL-TYPE ESTIMATOR FOR THE INTENSITY OF A PERIODIC POISSON PROCESS [PDF]
In this paper we prove asymptotic normality of a kernel type estimator for the intensity of a periodic Poisson process. This paper is a continuation of [10].
MANGKU, I W.
core +1 more source
Pricing and hedging of credit derivatives via the innovations approach to nonlinear filtering
Credit derivatives, Incomplete information, Nonlinear filtering, Hedging, 91B28, 93E11, 60G55, G13, C11,
Rüdiger Frey, Thorsten Schmidt
core +1 more source
Weak and Strong Convergence of a Kernel-type Estimator for the Intensity of a Periodic Poisson Processs [PDF]
In this paper we survey some results on weak and strong convergence of kernel type estimators for the intensity of a periodic Poisson process. We consider the situation when the period is known in order to be able to present simple proofs of the results.
MANGKU, I W., MANGKU, I. W. (I)
core +1 more source
Approximate Bayesian Computations to fit and compare insurance loss models
International audienceApproximate Bayesian Computation (ABC) is a statistical learning technique to calibrate and select models by comparing observed data to simulated data.
Goffard, Pierre-Olivier, Laub, Patrick
core +1 more source
Consistency of a Uniform Kernel Estimator for Intensity of a Periodic Poisson Process with Unknown Period [PDF]
A uniform kernel estimator for intensity of a periodic Poisson process with unknowm period is presented and a proof of its consistency is discussed. The result presented in this paper is a special case of that in [3].
MANGKU, I W., MANGKU, I. W. (I)
core +1 more source
A second order approach to analyse spatial point patterns with functional marks
Demographic evolution, Functional data analysis, Functional marked point patterns, Point patterns, Population pyramids, Spanish towns, 60G55, 62M30,
C. Comas +5 more
core +1 more source
Central Limit Theorems For Local Emprical Processes Near Boundaries of Sets [PDF]
AMS 2000 subject classifications.
Einmahl, J.H.J., Khmaladze, E.V.
core +1 more source
Consistency of Kernel-type Estimators for the First and Second Derivatives of a Periodic Poisson Intensity Function [PDF]
We construct and investigate consistent kernel-type estimators for the first and second derivatives of a periodic Poisson intensity function when the period is known. We do not assume any particular parametric form for the intensity function.
SYAMSURI, S. +5 more
core +1 more source
Sequential Kernel Estimation of the Conditional Intensity of Nonstationary Point Processes
California earthquakes, exponential weighting, prediction error criteria, sequential nonparametric regression, space–time point processes, Primary: 60G55, 62G07, 62L12, Secondary: 62G08, 62M30, 86A32,
Carlo Grillenzoni, GRILLENZONI, CARLO
core +1 more source

