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19962026
most citedDeterminantal point process models and statistical inference : Extended version

238 citations

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39 papers · 1 filter

math.ST2024

Parametric estimation and LAN property of the birth-death-move process with mutations

Lisa Balsollier, Frédéric Lavancier

A birth-death-move process with mutations is a Markov model for a system of marked particles in interaction, that move over time, with births and deaths. In addition the mark of ea…

math.ST2020★ 17 cited

Learning with tree tensor networks: complexity estimates and model selection

Bertrand Michel, Anthony Nouy

Tree tensor networks, or tree-based tensor formats, are prominent model classes for the approximation of high-dimensional functions in computational and data science. They correspo…

math.ST2019

Shadow Simulated Annealing algorithm: a new tool for global optimisation and statistical inference

R. Stoica, Madalina Deaconu, Anne Philippe +1

This paper develops a new global optimisation method that applies to a family of criteria that are not entirely known. This family includes the criteria obtained from the class of…

math.ST2018★ 1 cited

Robust Bregman Clustering

Aurélie Fischer, Clément Levrard, Claire Brécheteau

Using a trimming approach, we investigate a k-means type method based on Bregman divergences for clustering data possibly corrupted with clutter noise. The main interest of Bregman…

math.ST2018★ 4 cited

Asymptotic distribution of least square estimators for linear models with dependent errors

Emmanuel Caron

In this paper, we consider the usual linear regression model in the case where the error process is assumed strictly stationary. We use a result from Hannan (1973), who proved a Ce…

math.ST2018

Averaging of density kernel estimators

O. Chernova, F. Lavancier, P. Rochet

Averaging provides an alternative to bandwidth selection for density kernel estimation. We propose a procedure to combine linearly several kernel estimators of a density obtained f…

math.ST2017★ 1 cited

Estimating long memory in panel random-coefficient AR(1) data

Remigijus Leipus, Anne Philippe, Vytaute Pilipauskaite +1

It is well-known that random-coefficient AR(1) process can have long memory depending on the index of the tail distribution function of the random coefficient, if it is a regul…

math.ST2017★ 4 cited

Asymptotic distribution of least squares estimators for linear models with dependent errors : regular designs

Emmanuel Caron, Sophie Dede

In this paper, we consider the usual linear regression model in the case where the error process is assumed strictly stationary. We use a result from Hannan, who proved a Central L…

math.ST2016★ 2 cited

A tutorial on estimator averaging in spatial point process models

Frédéric Lavancier, P Rochet

Assume that several competing methods are available to estimate a parameter in a given statistical model. The aim of estimator averaging is to provide a new estimator, built as a l…

math.ST2016★ 1 cited

The Mean/Max Statistic in Extreme Value Analysis

Paul Rochet, Isabel Serra

Most extreme events in real life can be faithfully modeled as random realizations from a Generalized Pareto distribution, which depends on two parameters: the scale and the shape.…

math.ST2016

Standard and robust intensity parameter estimation for stationary determinantal point processes

Jean-François Coeurjolly, Christophe Ange Napoléon Biscio

This work is concerned with the estimation of the intensity parameter of a stationary determinantal point process. We consider the standard estimator, corresponding to the number o…

math.ST2016★ 7 cited

Reconstructing undirected graphs from eigenspaces

Yohann De Castro, Thibault Espinasse, Paul Rochet

In this paper, we aim at recovering an undirected weighted graph of vertices from the knowledge of a perturbed version of the eigenspaces of its adjacency matrix . For insta…

math.ST2015

Contrast estimation for parametric stationary determinantal point processes

Christophe Biscio, Frédéric Lavancier

We study minimum contrast estimation for parametric stationary determi-nantal point processes. These processes form a useful class of models for repulsive (or regular, or inhibitiv…

math.ST2015★ 5 cited

Nonparametric estimation of the distribution of the autoregressive coefficient from panel random-coefficient AR(1) data

Remigijus Leipus, Anne Philippe, Vytautė Pilipauskaitė +1

We discuss nonparametric estimation of the distribution function of the autoregressive coefficient from a panel of random-coefficient AR(1) data, each of…

math.ST2015

ABC Shadow algorithm: a tool for statistical analysis of spatial patterns

R. S. Stoica, A. Philippe, P. Gregori +1

This paper presents an original ABC algorithm, "ABC Shadow", that can be applied to sample posterior densities that are continuously differentiable. The proposed method uses the id…

math.ST2015

Consistency of likelihood estimation for Gibbs point processes

David Dereudre, Frédéric Lavancier

Strong consistency of the maximum likelihood estimator (MLE) for parametric Gibbs point process models is established. The setting is very general. It includes pairwise pair potent…

math.ST2015

Hypothesis testing for markovian models with random time observations

Flavia Barsotti, Anne Philippe, Paul Rochet

The aim of this paper is to propose a methodology for testing general hypothesis in a Markovian setting with random sampling. A discrete Markov chain X is observed at random time i…

math.ST2014★ 62 cited

Quantifying repulsiveness of determinantal point processes

Christophe Ange Napoléon Biscio, Frédéric Lavancier

Determinantal point processes (DPPs) have recently proved to be a useful class of models in several areas of statistics, including spatial statistics, statistical learning and tele…

math.ST2014★ 16 cited

Estimating the transition matrix of a Markov chain observed at random times

Flavia Barsotti, Yohann De Castro, Thibault Espinasse +1

In this paper we develop a statistical estimation technique to recover the transition kernel of a Markov chain in presence of censored data. We cons…

math.ST2013★ 8 cited

Aggregation and long memory: recent developments

Remigijus Leipus, Anne Philippe, Donata Puplinskaite +1

It is well-known that the aggregated time series might have very different properties from those of the individual series, in particular, long memory. At the present time, aggregat…

math.ST2013

Contemporaneous aggregation of triangular array of random-coefficient AR(1) processes

Anne Philippe, Donata Puplinskaite, Donatas Surgailis

We discuss contemporaneous aggregation of independent copies of a triangular array of random-coefficient AR(1) processes with i.i.d. innovations belonging to the domain of attracti…

math.ST2012★ 3 cited

Estimation of Scale and Hurst Parameters of Semi-Selfsimilar Processes

Saeid Rezakhah, Anne Philippe, Navideh Modarresi

The characteristic feature of semi-selfsimilar process is the invariance of its finite dimensional distributions by certain dilation for specific scaling factor. Estimating the sca…

math.ST2012★ 8 cited

Estimation of the intensity parameter of the germ-grain Quermass-interaction model when the number of germs is not observed

David Dereudre, Frédéric Lavancier, Katerina Helisova Stankova

The Quermass-interaction model allows to generalise the classical germ-grain Boolean model in adding a morphological interaction between the grains. It enables to model random stru…

math.ST2012★ 238 cited

Determinantal point process models and statistical inference : Extended version

Frédéric Lavancier, Jesper Møller, Ege Rubak

Statistical models and methods for determinantal point processes (DPPs) seem largely unexplored. We demonstrate that DPPs provide useful models for the description of spatial point…