Laurent Bordes

Un modèle de dégradation basé sur un processus gamma et le mouvement brownien (2009)

Bordes, Laurent, Paroissin, Christian, Salami, Ali

Une nouvelle approche est proposée pour décrire la dégradation d'un système. Cette approche consiste à considérer la dégradation $(D_t)_{t \geq 0}$ comme la somme d'un processus gamma...

Un modèle de dégradation basé sur un processus gamma et le mouvement brownien (2009)

Bordes, Laurent, Paroissin, Christian, Salami, Ali

Une nouvelle approche est proposée pour décrire la dégradation d'un système. Cette approche consiste à considérer la dégradation $(D_t)_{t \geq 0}$ comme la somme d'un processus gamma...

Estimators based on $\omega$-dependent generalized weighted Cramér-von Mises distances under censoring - with applications to mixture models (2008)

Beutner, Eric, Bordes, Laurent

Estimators based on $\omega$-dependent generalized weighted Cramér-vonMises distances are defined for data that are subject to a possible right censorship. The distance between the data, summarized...

Estimators based on $\omega$-dependent generalized weighted Cramér-von Mises distances under censoring - with applications to mixture models (2008)

Beutner, Eric, Bordes, Laurent

Estimators based on $\omega$-dependent generalized weighted Cramér-vonMises distances are defined for data that are subject to a possible right censorship. The distance between the data, summarized...

Sequential Confidence Sets for the Proportional Hazards Model (2007)

Laurent Bordes, Christelle Breuils

In survival analysis or in reliability trials, stopping the study at the earlier time (or recruiting a minimum of individuals or items) may lead to a significant time and/or cost reduction of the...

Abstract (2007)

Sergio Alvarez, Laurent Bordes

This work deals with asymptotic properties of the [αm]-th order statistic of a type-II progressively censored sample of size m. Such an order statistic, indexed by α ∈ [0, 1], is called the...

A Stochastic EM algorithm for a semiparametric mixture model (2007)

Bordes, Laurent, Chauveau, Didier, Vandekerkhove, Pierre

Recently several authors considered finite mixture models with semi-/non-parametric component distributions. Identifiability of such model parameters is generally not obvious, and when it occurs,...

SEMIPARAMETRIC TWO-COMPONENT MIXTURE MODEL WITH A KNOWN COMPONENT: A CLASS OF ASYMPTOTICALLY NORMAL ESTIMATORS (2007)

Bordes, Laurent, Vandekerkhove, Pierre

In this paper we consider a two-component mixture model one component of which has a known distribution while the other is only known to be symmetric. The mixture proportion is also an unknown...

Semi- and non-parametric competing risks analysis of right censored data and failure cause missing completely at random (2007)

Bordes, Laurent, Dauxois, Jean-Yves, Joly, Pierre

We consider a nonparametric and a semiparametric (in presence of covariates) additive hazards rate competing risks model with censoring and failure cause possibly missing completely at random....

Semi- and non-parametric competing risks analysis of right censored data and failure cause missing completely at random (2007)

Bordes, Laurent, Dauxois, Jean-Yves, Joly, Pierre

We consider a nonparametric and a semiparametric (in presence of covariates) additive hazards rate competing risks model with censoring and failure cause possibly missing completely at random....

A Stochastic EM algorithm for a semiparametric mixture model (2007)

Bordes, Laurent, Chauveau, Didier, Vandekerkhove, Pierre

Recently several authors considered finite mixture models with semi-/non-parametric component distributions. Identifiability of such model parameters is generally not obvious, and when it occurs,...

SEMIPARAMETRIC TWO-COMPONENT MIXTURE MODEL WITH A KNOWN COMPONENT: A CLASS OF ASYMPTOTICALLY NORMAL ESTIMATORS (2007)

Bordes, Laurent, Vandekerkhove, Pierre

In this paper we consider a two-component mixture model one component of which has a known distribution while the other is only known to be symmetric. The mixture proportion is also an unknown...

Semiparametric estimation of a two-component mixture model (2006)

Bordes, Laurent, Mottelet, Stéphane, Vandekerkhove, Pierre

Suppose that univariate data are drawn from a mixture of two distributions that are equal up to a shift parameter. Such a model is known to be nonidentifiable from a nonparametric viewpoint. However,...

Semiparametric estimation of a two-component mixture model (2006)

Bordes, Laurent, Mottelet, Stéphane, Vandekerkhove, Pierre

Suppose that univariate data are drawn from a mixture of two distributions that are equal up to a shift parameter. Such a model is known to be nonidentifiable from a nonparametric viewpoint. However,...

An EM algorithm for a semiparametric mixture model (2006)

Bordes, Laurent, Chauveau, Didier, Vandekerkhove, Pierre

Recently several authors considered finite mixture models with semi-/non-parametric component distributions. Identifiability of such model parameters is generally not obvious, and when it occurs,...

An EM algorithm for a semiparametric mixture model (2006)

Bordes, Laurent, Chauveau, Didier, Vandekerkhove, Pierre

Recently several authors considered finite mixture models with semi-/non-parametric component distributions. Identifiability of such model parameters is generally not obvious, and when it occurs,...

Semiparametric Estimation of a Two-component Mixture Model where One Component is known

LAURENT BORDES, CÉLINE DELMAS, PIERRE VANDEKERKHOVE

We consider a two-component mixture model where one component distribution is known while the mixing proportion and the other component distribution are unknown. These kinds of models were first...

Asymptotics for Homogeneity Tests Based on a Multivariate Random Effects Proportional Hazards Model

Bordes, Laurent, Commenges, Daniel

D. Commenges and H. Jacqmin-Gadda (1997, J. Roy. Statist. Soc. B59, 157-171) considered generalized score tests of homogeneity that accommodate parametric and semiparametric regression models arising...

Unbiased Estimation for a Multivariate Exponential whose Components have a Common Shift,

Bordes, Laurent, Nikulin, Mikhail, Voinov, Vassily

It is shown that for independent and identically distributed random vectors, for which the components are independent and exponentially distributed with a common shift, we can construct unbiased...

Empirical quantile process under type-II progressive censoring

Alvarez-Andrade, Sergio, Bordes, Laurent

This work deals with asymptotic properties of the [[alpha]m]th-order statistic of a type-II progressively censored sample of size m. Such an order statistic, indexed by [alpha][set membership,...

Proportional hazards regression under progressive Type-II censoring

Sergio Alvarez-Andrade, N. Balakrishnan, Laurent Bordes

Counting processes, Martingales, Order statistics, Progressive censoring, Proportional hazards model, Reliability, Semiparametric,