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This paper is concerned with the study of some properties of the distance between statistical individuals based on representations on the dual tangent space of a parametric manifold representation of a statistical model. Explicit expressions for distances are obtained for well-known families of distributions. We have also considered applications of the distance to parameter estimation, testing statistical hypotheses and discriminant analysis.

Spectral density estimation for $p$ -adic stationary processes

Mustapha Rachdi, Vincent Monsan (1998)

Annales mathématiques Blaise Pascal

Stability of invariant linearly sufficient statistics in the general Gauss-Markov model

Andrzej Kornacki (1997)

Applications of Mathematics

Necessary and sufficient conditions are derived for the inclusions $J_{0} \subset J$ and $J_{0}^{*} \subset J^{*}$ to be fulfilled where $J_{0}$ , $J_{0}^{*}$ and $J$ , $J^{*}$ are some classes of invariant linearly sufficient statistics (Oktaba, Kornacki, Wawrzosek (1988)) corresponding to the Gauss-Markov models $G M_{0} = (y, X_{0} β_{0}, σ_{0}^{2} V_{0})$ and $G M = (y, X β, σ^{2} V)$ , respectively.

Statistical models strongly-invariant under the action of a group.

Agustín García Nogales (1990)

Qüestiió

Some basic results about invariance are given using quotient σ-fields. A strong kind of invariance is considered. Under appropriate conditions we obtain a sufficient statistics for models with such an invariance property.

Statistics, yokes and symplectic geometry

Ole E. Barndorff-Nielsen, Peter E. Jupp (1997)

Annales de la Faculté des sciences de Toulouse : Mathématiques

Stochastic calculus, statistical asymptotics, Taylor strings and phyla

Ole E. Barndorff-Nielsen, Peter E. Jupp, Wilfrid S. Kendall (1994)

Annales de la Faculté des sciences de Toulouse : Mathématiques

Sufficiency in bayesian models

Konrad Furmańczyki, Wojciech Niemiro (1998)

Applicationes Mathematicae

We consider some fundamental concepts of mathematical statistics in the Bayesian setting. Sufficiency, prediction sufficiency and freedom can be treated as special cases of conditional independence. We give purely probabilistic proofs of the Basu theorem and related facts.

Sulla assoluta continuità di una variabile aleatoria la cui densità è limite di una successione di densità costanti a tratti

Mario Volpato, Alberto Bressan (1978)

Rendiconti del Seminario Matematico della Università di Padova

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Semiotische und verbandstheoretische Grundzüge einer elementaren Statistik. Tl. 1 .

Semiotische und verbandstheoretische Grundzüge einer elementaren Statistik Tl. II

Seules les affinités préservent le type de la loi gamma à paramètre entier

Some Applications of Anderson's Inequality to Some Optimality Criteria of the Generalized Least Squares Estimator.

Some applications of concentration inequalities to statistics

Some counterexamples concerning sufficiency and invariance.

Some remarks on sufficiency, invariance and conditional independence.

Some remarks on the individuals-score distance and its applications to statistical inference.

Spectral density estimation for $p$ -adic stationary processes

Stability of invariant linearly sufficient statistics in the general Gauss-Markov model

Statistical models strongly-invariant under the action of a group.

Statistics, yokes and symplectic geometry

Stochastic calculus, statistical asymptotics, Taylor strings and phyla

Sufficiency in bayesian models

Sulla assoluta continuità di una variabile aleatoria la cui densità è limite di una successione di densità costanti a tratti

Sur les lois à symétrie elliptique

Sur l'usage de la notion de probabilités subjectives

Sur une nouvelle méthode d'introduction des facteurs de subjectivité dans les problèmes d'estimation statistique

Sur une théorie informationnelle de l'observation pour des événements de nature probabiliste

Currently displaying 1 – 19 of 19