Frédéric Lavancier

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...

Practical simulation and estimation for Gibbs Delaunay-Voronoi tessellations with geometric hardcore interaction (2010)

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...

Practical simulation and estimation for Gibbs Delaunay-Voronoi tessellations with geometric hardcore interaction. (2010)

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...

Practical simulation and estimation for Gibbs Delaunay-Voronoi tessellations with geometric hardcore interaction. (2010)

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...

Some convergence results on quadratic forms for random fields and application to empirical covariances (2009)

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...

Some convergence results on quadratic forms for random fields and application to empirical covariances (2009)

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.

Practical simulation and estimation for Gibbs Delaunay-Voronoi tessellations with geometric hardcore interaction. (2009)

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...

Practical simulation and estimation for Gibbs Delaunay-Voronoi tessellations with geometric hardcore interaction. (2009)

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.

Some convergence results on quadratic forms for random fields and application to empirical covariances (2009)

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...

Some convergence results on quadratic forms for random fields and application to empirical covariances (2009)

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...

Some convergence results on quadratic forms for random fields and application to empirical covariances (2009)

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...

Some convergence results on quadratic forms for random fields and application to empirical covariances (2009)

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...

Some convergence results on quadratic forms for random fields and application to empirical covariances (2009)

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.

Practical simulation and estimation for Gibbs Delaunay-Voronoi tessellations with geometric hardcore interaction. (2009)

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.

Convergence of quadratic forms for random fields and its application to the convergence of empirical covariances (2008)

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)

Lavancier, Frédéric

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...

Convergence of quadratic forms for random fields and its application to the convergence of empirical covariances (2008)

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,...

Convergence of quadratic forms for random fields and its application to the convergence of empirical covariances (2008)

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)

Lavancier, Frédéric

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)

Lavancier, Frédéric

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)

Lavancier, Frédéric

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)

Lavancier, Frédéric

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)

Lavancier, Frédéric

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)

Lavancier, Frédéric

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)

Lavancier, Frédéric

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)

Lavancier, Frédéric

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)

Lavancier, Frédéric

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)

Lavancier, Frédéric

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)

Lavancier, Frédéric

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)

Lavancier, Frédéric

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

Frédéric Lavancier

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.