Quantification of prior knowledge about global characteristics of linear normal model
Quasi-Bayesian behaviour: a more realistic approach to decision making?
In this paper the theoretical and practical implications of dropping -from the basic Bayesian coherence principles- the assumption of comparability of every pair of acts is examined. The resulting theory is shown to be still perfectly coherent and has Bayesian theory as a particular case. In particular we question the need of weakening or ruling out some of the axioms that constitute the coherence principles; what are their practical implications; how this drive to the notion of partial information...
Rejoinder on: Natural Induction: An objective Bayesian approach.
Relativistic fuzzy sets. Toward a new approach to subjectivity in human systems
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.
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 -adic stationary processes
Stability of invariant linearly sufficient statistics in the general Gauss-Markov model
Necessary and sufficient conditions are derived for the inclusions and to be fulfilled where , and , are some classes of invariant linearly sufficient statistics (Oktaba, Kornacki, Wawrzosek (1988)) corresponding to the Gauss-Markov models and , respectively.
Statistical models strongly-invariant under the action of a group.
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
Stochastic calculus, statistical asymptotics, Taylor strings and phyla
Sufficiency in bayesian models
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
Sur les lois à symétrie elliptique