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Intensity estimation of non-homogeneous Poisson processes from shifted trajectories
Poisson processes Random shifts Intensity estimation Deconvolution Meyer wavelets Adaptive estimation Besov space Minimax rate
2011/6/20
This paper considers the problem of adaptive estimation of a non-homogeneous intensity
function from the observation of n independent Poisson processes having a common intensity
that is randomly shi...
We propose a general modeling framework for marked Poisson processes observed over time or space. The modeling approach exploits the connection of the nonhomogeneous Poisson process intensity with a d...
Empirical processes, Vapnik-Chervonenkis classes and Poisson processes
Empirical processes Vapnik-Chervonenkis classes Poisson processes
2009/9/24
Empirical processes, Vapnik-Chervonenkis classes and Poisson processes。
POISSON PROCESSES REVISITED
Poisson process bisection property Renyi's characterisation Poisson-Dirichlet distribution
2009/9/18
The thesis of this paper is that a good basis for defining
Poisson processes on a general state space is to assume that the mean
measure satisfies a simple bisection property, that every set of fini...
On Properties of Estimators in non Regular Situations for Poisson Processes
Parameter estimation regularity conditions misspecification non identifiability Poisson processes
2010/3/19
We consider the problem of parameter estimation by observations
of inhomogeneous Poisson process. It is well-known that if the regularity
conditions are fulfilled then the maximum likelihood and bay...
Power Loss for Inhomogeneous Poisson Processes
Inhomogeneous Poisson processes hypotheses testing powerloss second order efficiency
2010/4/29
In this work, based on a realization of an inhomogeneous Poisson
process whose intensity function depends on a real unknown parameter,
we consider a simple hypothesis against a sequence of close (co...