A. A. Markov, ses probabilités en chaîne et les statistiques linguistiques
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M. Petruszewycz (1979)
Mathématiques et Sciences Humaines
J. Wesolowski (1989)
Metrika
Caballero-Águila, R., Hermoso-Carazo, A., Linares-Pérez, J. (2010)
Mathematical Problems in Engineering
M. Davis (1976)
Banach Center Publications
W. Rehder (1976)
Metrika
Fabienne Comte, Florence Merlevède (2002)
ESAIM: Probability and Statistics
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...
Fabienne Comte, Florence Merlevède (2010)
ESAIM: Probability and Statistics
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...
M. Hoffmann, A. Munk, J. Schmidt-Hieber (2012)
Annales de l'I.H.P. Probabilités et statistiques
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...
Pogány, T. (1997)
Mathematica Pannonica
Esko Valkeila, Ljudmilla Vostrikova (1986)
Mathematica Scandinavica
Lutz Klotz (2000)
Kybernetika
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].
Charles B. Bell, F. Ramírez, E. P. Smith (1985)
Trabajos de Estadística e Investigación Operativa
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...
Martin Janžura (1988)
Kybernetika
Michaela Prokešová (2003)
Kybernetika
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...
Ryszard Magiera (1994)
Applicationes Mathematicae
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.
M. Petruszewycz (1979)
Mathématiques et Sciences Humaines
François Coquet, Jean Jacod (1990)
Séminaire de probabilités de Strasbourg
Xavier Guyon, José Leon (1989)
Annales de l'I.H.P. Probabilités et statistiques
Galtier, Thomas, Gupta, Sayan, Rychlik, Igor (2010)
Journal of Probability and Statistics
Albert Pérez (1974)
Kybernetika
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