A. A. Markov, ses probabilités en chaîne et les statistiques linguistiques
A Characterization of the Gamma Process by Conditional Moments.
A new estimation algorithm from measurements with multiple-step random delays and packet dropouts.
A note on the Poisson disorder problem
A Remark on Robustness of Linear Best Estimates.
Adaptive estimation of the stationary density of discrete and continuous time mixing processes
In this paper, we study the problem of non parametric estimation of the stationary marginal density of an or a -mixing process, observed either in continuous time or in discrete time. We present an unified framework allowing to deal with many different cases. We consider a collection of finite dimensional linear regular spaces. We estimate using a projection estimator built on a data driven selected linear space among the collection. This data driven choice is performed via the minimization...
Adaptive estimation of the stationary density of discrete and continuous time mixing processes
In this paper, we study the problem of non parametric estimation of the stationary marginal density f of an α or a β-mixing process, observed either in continuous time or in discrete time. We present an unified framework allowing to deal with many different cases. We consider a collection of finite dimensional linear regular spaces. We estimate f using a projection estimator built on a data driven selected linear space among the collection. This data driven choice is performed via the minimization...
Adaptive wavelet estimation of the diffusion coefficient under additive error measurements
We study nonparametric estimation of the diffusion coefficient from discrete data, when the observations are blurred by additional noise. Such issues have been developed over the last 10 years in several application fields and in particular in high frequency financial data modelling, however mainly from a parametric and semiparametric point of view. This paper addresses the nonparametric estimation of the path of the (possibly stochastic) diffusion coefficient in a relatively general setting. By...
Aliasing in the sampling restoration of non-band-limited homogeneous random fields.
An integral representation for the Hellinger distance.
An interpolation problem for multivariate stationary sequences
Let and be stationarily cross-correlated multivariate stationary sequences. Assume that all values of and all but one values of are known. We determine the best linear interpolation of the unknown value on the basis of the known values and derive a formula for the interpolation error matrix. Our assertions generalize a result of Budinský [1].
Aplicación de modelos de Wiener-Levy a datos biomédicos.
Para varios conjuntos de datos biomédicos, se quiere hacer inferencia sobre la función media de la población. La mayoría de los métodos clásicos para este tipo de inferencia han sido derivados bajo el supuesto de que los datos constituyen muestras aleatorias de una población normal. Pero en realidad, en el campo médico, pocas veces se tienen muestras aleatorias. El problema práctico principal es hallar un modelo de dependencia entre los datos que aproxime la situación real y que sea manejable desde...
Asymptotic theory of parameter estimation for Gauss-Markov random fields
Bayesian MCMC estimation of the rose of directions
The paper concerns estimation of the rose of directions of a stationary fibre process in from the intersection counts of the process with test planes. A new approach is suggested based on Bayesian statistical techniques. The method is derived from the special case of a Poisson line process however the estimator is shown to be consistent generally. Markov chain Monte Carlo (MCMC) algorithms are used for the approximation of the posterior distribution. Uniform ergodicity of the algorithms used is...
Conjugate priors for exponential-type processes with random initial conditions
The family of proper conjugate priors is characterized in a general exponential model for stochastic processes which may start from a random state and/or time.
Contribution pour servir à l'étude du choix que fit A. A. Markov d'un domaine d'application de sa théorie des chaînes
Convergence des surmartingales. Application aux vraisemblances partielles
Convergence en loi des H-variations d'un processus gaussien stationnaire sur R
Crossings of second-order response processes subjected to LMA loadings.
Data compression in discriminating stochastic processes