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Lasso and probabilistic inequalities for multivariate point processes
Multivariate counting process Hawkes processes adaptive estimation Lasso procedure Bernstein-type inequalities.
2012/9/17
Due to its low computational cost, Lasso is an attractive regularization method for high-dimensional statistical settings. In this paper, we consider multivariate counting processes depending on an un...
Modelling fixation locations using spatial point processes
Modelling fixation locations spatial point processes
2012/9/19
Whenever eye movements are measured, a central part of the analysis has to do withwheresubjects fixate, andwhy they fixated where they fixated. To a first approximation, a set of fixations can be view...
Maximum pseudolikelihood estimator for exponential family models of marked Gibbs point processes
stationary marked Gibbs point processes pseudolikelihood method minimum contrast estimators
2009/9/16
This paper is devoted to the estimation of a vector θ parametrizing an energy function of a Gibbs point process, via the maximum pseudolikelihood method. Strong consistency and asymptotic normality re...