Takacs Fiksel method for stationary marked Gibbs point processes (2010)
Coeurjolly, Jean-François, Dereudre, David, Drouilhet, Rémy, Lavancier, Frédéric
This paper studies a method to estimate the parameters governing the distribution of a stationary marked Gibbs point process. This method, known as the Takacs-Fiksel method, is based on the...
Takacs Fiksel method for stationary marked Gibbs point processes (2010)
Coeurjolly, Jean-François, Dereudre, David, Drouilhet, Rémy, Lavancier, Frédéric
This paper studies a method to estimate the parameters governing the distribution of a stationary marked Gibbs point process. This method, known as the Takacs-Fiksel method, is based on the...
Takacs Fiksel method for stationary marked Gibbs point processes (2010)
Coeurjolly, Jean-François, Dereudre, David, Drouilhet, Rémy, Lavancier, Frédéric
This paper studies a method to estimate the parameters governing the distribution of a stationary marked Gibbs point process. This method, known as the Takacs-Fiksel method, is based on the...
Basic properties of the Multivariate Fractional Brownian Motion (2010)
Amblard, Pierre-Olivier, Coeurjolly, Jean-François, Lavancier, Frédéric, Philippe, Anne
This paper reviews and extends some recent results on the multivariate fractional Brownian motion (mfBm) and its increment process. A characterization of the mfBm through its covariance function is...
Basic properties of the Multivariate Fractional Brownian Motion (2010)
Amblard, Pierre-Olivier, Coeurjolly, Jean-François, Lavancier, Frédéric, Philippe, Anne
This paper reviews and extends some recent results on the multivariate fractional Brownian motion (mfBm) and its increment process. A characterization of the mfBm through its covariance function is...
Basic properties of the Multivariate Fractional Brownian Motion (2010)
Amblard, Pierre-Olivier, Coeurjolly, Jean-François, Lavancier, Frédéric, Philippe, Anne
This paper reviews and extends some recent results on the multivariate fractional Brownian motion (mfBm) and its increment process. A characterization of the mfBm through its covariance function is...
Dereudre, David, Lavancier, Frédéric
General models of Gibbs Delaunay-Voronoi tessellations, which can be viewed as extensions of Ord's process, are considered. The interaction may occur on each cell of the tessellation and between...
Dereudre, David, Lavancier, Frédéric
General models of Gibbs Delaunay-Voronoi tessellations, which can be viewed as extensions of Ord's process, are considered. The interaction may occur on each cell of the tessellation and between...
Dereudre, David, Lavancier, Frédéric
General models of Gibbs Delaunay-Voronoi tessellations, which can be viewed as extensions of Ord's process, are considered. The interaction may occur on each cell of the tessellation and between...
Residuals and goodness-of-fit tests for stationary marked Gibbs point processes (2010)
Coeurjolly, Jean-François, Lavancier, Frédéric
The inspection of residuals is a fundamental step to investigate the quality of adjustment of a parametric model to data. For spatial point processes, the concept of residuals has been recently...
Residuals and goodness-of-fit tests for stationary marked Gibbs point processes (2010)
Coeurjolly, Jean-François, Lavancier, Frédéric
The inspection of residuals is a fundamental step to investigate the quality of adjustment of a parametric model to data. For spatial point processes, the concept of residuals has been recently...
Residuals and goodness-of-fit tests for stationary marked Gibbs point processes (2010)
Coeurjolly, Jean-François, Lavancier, Frédéric
The inspection of residuals is a fundamental step to investigate the quality of adjustment of a parametric model to data. For spatial point processes, the concept of residuals has been recently...
Residuals and goodness-of-fit tests for stationary marked Gibbs point processes (2010)
Coeurjolly, Jean-François, Lavancier, Frédéric
The inspection of residuals is a fundamental step to investigate the quality of adjustment of a parametric model to data. For spatial point processes, the concept of residuals has been recently...
Residuals and goodness-of-fit tests for stationary marked Gibbs point processes (2010)
Coeurjolly, Jean-François, Lavancier, Frédéric
The inspection of residuals is a fundamental step to investigate the quality of adjustment of a parametric model to data. For spatial point processes, the concept of residuals has been recently...
Residuals and goodness-of-fit tests for stationary marked Gibbs point processes (2010)
Coeurjolly, Jean-François, Lavancier, Frédéric
The inspection of residuals is a fundamental step to investigate the quality of adjustment of a parametric model to data. For spatial point processes, the concept of residuals has been recently...
Test de comparaison du paramètre de longue mémoire (2010)
Lavancier, Frédéric, Philippe, Anne, Surgailis, Donatas
Nous proposons un test pour comparer le paramètre de longue mémoire de deux processus éventuellement corrélés. Le test est construit à partir de la statistique V/S basée sur deux estimations...
Test de comparaison du paramètre de longue mémoire (2010)
Lavancier, Frédéric, Philippe, Anne, Surgailis, Donatas
Nous proposons un test pour comparer le paramètre de longue mémoire de deux processus éventuellement corrélés. Le test est construit à partir de la statistique V/S basée sur deux estimations...
Lavancier, Frédéric, Philippe, Anne
Limit theorems are proved for quadratic forms of Gaussian random fields in presence of long memory. We obtain a non central limit theorem under a minimal integrability condition, which allows...
Lavancier, Frédéric, Philippe, Anne
Limit theorems are proved for quadratic forms of Gaussian random fields in presence of long memory. We obtain a non central limit theorem under a minimal integrability condition, which allows...
A two-sample test for comparison of long memory parameters (2009)
Lavancier, Frédéric, Philippe, Anne, Surgailis, Donatas
We construct a two-sample test for comparison of long memory parameters based on ratios of two rescaled variance (V/S) statistics studied in [Giraitis L., Leipus, R., Philippe, A., 2006. A test for...
A two-sample test for comparison of long memory parameters (2009)
Lavancier, Frédéric, Philippe, Anne, Surgailis, Donatas
We construct a two-sample test for comparison of long memory parameters based on ratios of two rescaled variance (V/S) statistics studied in [Giraitis L., Leipus, R., Philippe, A., 2006. A test for...
A two-sample test for comparison of long memory parameters (2009)
Lavancier, Frédéric, Philippe, Anne, Surgailis, Donatas
We construct a two-sample test for comparison of long memory parameters based on ratios of two rescaled variance (V/S) statistics studied in [Giraitis L., Leipus, R., Philippe, A., 2006. A test for...
Covariance function of vector self-similar process (2009)
Lavancier, Frédéric, Philippe, Anne, Surgailis, Donatas
The paper obtains the general form of the cross-covariance function of vector fractional Brownian motion with correlated components having different self-similarity indices.
Covariance function of vector self-similar process (2009)
Lavancier, Frédéric, Philippe, Anne, Surgailis, Donatas
The paper obtains the general form of the cross-covariance function of vector fractional Brownian motion with correlated components having different self-similarity indices.
Dereudre, David, Lavancier, Frédéric
We consider general models of Gibbs Delaunay-Voronoi tessellations, which can be viewed as an extension of the Ord's process. The interaction may occur on each cell of the tessellation and between...
Dereudre, David, Lavancier, Frédéric
We consider general models of Gibbs Delaunay-Voronoi tessellations, which can be viewed as an extension of the Ord's process. The interaction may occur on each cell of the tessellation and between...
A two-sample test for comparison of long memory parameters (2009)
Lavancier, Frédéric, Philippe, Anne, Surgailis, Donatas
We construct a two-sample test for comparison of long memory parameters based on ratios of two rescaled variance (V/S) statistics studied in [Giraitis L., Leipus, R., Philippe, A., 2006. A test for...
A two-sample test for comparison of long memory parameters (2009)
Lavancier, Frédéric, Philippe, Anne, Surgailis, Donatas
We construct a two-sample test for comparison of long memory parameters based on ratios of two rescaled variance (V/S) statistics studied in [Giraitis L., Leipus, R., Philippe, A., 2006. A test for...
Covariance function of vector self-similar process (2009)
Lavancier, Frédéric, Philippe, Anne, Surgailis, Donatas
The paper obtains the general form of the cross-covariance function of vector fractional Brownian motion with correlated components having different self-similarity indices.
Covariance function of vector self-similar process (2009)
Lavancier, Frédéric, Philippe, Anne, Surgailis, Donatas
The paper obtains the general form of the cross-covariance function of vector fractional Brownian motion with correlated components having different self-similarity indices.
Lavancier, Frédéric, Philippe, Anne
Limit theorems are proved for quadratic forms of Gaussian random fields in presence of long memory. We obtain a non central limit theorem under a minimal integrability condition, which allows...
Lavancier, Frédéric, Philippe, Anne
Limit theorems are proved for quadratic forms of Gaussian random fields in presence of long memory. We obtain a non central limit theorem under a minimal integrability condition, which allows...
Lavancier, Frédéric, Philippe, Anne
Limit theorems are proved for quadratic forms of Gaussian random fields in presence of long memory. We obtain a non central limit theorem under a minimal integrability condition, which allows...
Lavancier, Frédéric, Philippe, Anne
Limit theorems are proved for quadratic forms of Gaussian random fields in presence of long memory. We obtain a non central limit theorem under a minimal integrability condition, which allows...
A two-sample test for comparison of long memory parameters (2009)
Lavancier, Frédéric, Philippe, Anne, Surgailis, Donatas
We construct a two-sample test for comparison of long memory parameters based on ratios of two rescaled variance (V/S) statistics studied in [Giraitis L., Leipus, R., Philippe, A., 2006. A test for...
A two-sample test for comparison of long memory parameters (2009)
Lavancier, Frédéric, Philippe, Anne, Surgailis, Donatas
We construct a two-sample test for comparison of long memory parameters based on ratios of two rescaled variance (V/S) statistics studied in [Giraitis L., Leipus, R., Philippe, A., 2006. A test for...
A two-sample test for comparison of long memory parameters (2009)
Lavancier, Frédéric, Philippe, Anne, Surgailis, Donatas
We construct a two-sample test for comparison of long memory parameters based on ratios of two rescaled variance (V/S) statistics studied in [Giraitis L., Leipus, R., Philippe, A., 2006. A test for...
Lavancier, Frédéric, Philippe, Anne
Limit theorems are proved for quadratic forms of Gaussian random fields in presence of long memory. We obtain a non central limit theorem under a minimal integrability condition, which allows...
Covariance function of vector self-similar process (2009)
Lavancier, Frédéric, Philippe, Anne, Surgailis, Donatas
The paper obtains the general form of the cross-covariance function of vector fractional Brownian motion with correlated components having different self-similarity indices.
Dereudre, David, Lavancier, Frédéric
We consider general models of Gibbs Delaunay-Voronoi tessellations, which can be viewed as an extension of the Ord's process. The interaction may occur on each cell of the tessellation and between...
Covariance function of vector self-similar process (2009)
Lavancier, Frédéric, Philippe, Anne, Surgailis, Donatas
The paper obtains the general form of the cross-covariance function of vector fractional Brownian motion with correlated components having different self-similarity indices.
Covariance function of vector self-similar process (2009)
Lavancier, Frédéric, Philippe, Anne, Surgailis, Donatas
The paper obtains the general form of the cross-covariance function of vector fractional Brownian motion with correlated components having different self-similarity indices.
Lavancier, Frédéric, Philippe, Anne
Limit theorems are proved for quadratic forms of Gaussian random fields in presence of long memory. Similarly to the one dimensional case, we prove that the quadratic forms, appropriately normalized,...
The V/S test of long-range dependence in random fields (2008)
Recently, Giraitis et al. (2003, [10]) proposed the $V/S$ statistic for testing long memory in random sequences. We generalize this statistic to the setting of random fields. The null hypothesis is...
Lavancier, Frédéric, Philippe, Anne
Limit theorems are proved for quadratic forms of Gaussian random fields in presence of long memory. Similarly to the one dimensional case, we prove that the quadratic forms, appropriately normalized,...
Lavancier, Frédéric, Philippe, Anne
Limit theorems are proved for quadratic forms of Gaussian random fields in presence of long memory. Similarly to the one dimensional case, we prove that the quadratic forms, appropriately normalized,...
Les champs aléaotoires à longue mémoire (2006)
Nous étudions des champs aléatoires sur le réseau Z^d. Ils sont supposés stationnaires, du second ordre et à longue mémoire, propriété due à la non sommabilité de leur fonction de...
Les champs aléaotoires à longue mémoire (2005)
Nous étudions des champs aléatoires sur le réseau Z^d. Ils sont supposés stationnaires, du second ordre et à longue mémoire, propriété due à la non sommabilité de leur fonction de...
Les champs aléaotoires à longue mémoire (2005)
Nous étudions des champs aléatoires sur le réseau Z^d. Ils sont supposés stationnaires, du second ordre et à longue mémoire, propriété due à la non sommabilité de leur fonction de...
Les champs aléaotoires à longue mémoire (2005)
Nous étudions des champs aléatoires sur le réseau Z^d. Ils sont supposés stationnaires, du second ordre et à longue mémoire, propriété due à la non sommabilité de leur fonction de...
Les champs aléaotoires à longue mémoire (2005)
Nous étudions des champs aléatoires sur le réseau Z^d. Ils sont supposés stationnaires, du second ordre et à longue mémoire, propriété due à la non sommabilité de leur fonction de...
Les champs aléaotoires à longue mémoire (2005)
Nous étudions des champs aléatoires sur le réseau Z^d. Ils sont supposés stationnaires, du second ordre et à longue mémoire, propriété due à la non sommabilité de leur fonction de...
Les champs aléaotoires à longue mémoire (2005)
Nous étudions des champs aléatoires sur le réseau Z^d. Ils sont supposés stationnaires, du second ordre et à longue mémoire, propriété due à la non sommabilité de leur fonction de...
Les champs aléaotoires à longue mémoire (2005)
Nous étudions des champs aléatoires sur le réseau Z^d. Ils sont supposés stationnaires, du second ordre et à longue mémoire, propriété due à la non sommabilité de leur fonction de...
Les champs aléaotoires à longue mémoire (2005)
Nous étudions des champs aléatoires sur le réseau Z^d. Ils sont supposés stationnaires, du second ordre et à longue mémoire, propriété due à la non sommabilité de leur fonction de...
Les champs aléaotoires à longue mémoire (2005)
Nous étudions des champs aléatoires sur le réseau Z^d. Ils sont supposés stationnaires, du second ordre et à longue mémoire, propriété due à la non sommabilité de leur fonction de...
Les champs aléaotoires à longue mémoire (2005)
Nous étudions des champs aléatoires sur le réseau Z^d. Ils sont supposés stationnaires, du second ordre et à longue mémoire, propriété due à la non sommabilité de leur fonction de...
Les champs aléaotoires à longue mémoire (2005)
Nous étudions des champs aléatoires sur le réseau Z^d. Ils sont supposés stationnaires, du second ordre et à longue mémoire, propriété due à la non sommabilité de leur fonction de...
Invariance principles for non-isotropic long memory random fields
Linear filtering, Non-Gaussian limit, Partial sums, Donsker theorem,
Covariance function of vector self-similar processes
Lavancier, Frédéric, Philippe, Anne, Surgailis, Donatas
The paper obtains the general form of the cross-covariance function of vector fractional Brownian motions with correlated components having different self-similarity indices.