Some results for the quadratic analysis of Gaussian processes and applications
Some results on a doubly truncated generalized discrimination measure
Doubly truncated data appear in some applications with survival and astrological data. Analogous to the doubly truncated discrimination measure defined by Misagh and Yari (2012), a generalized discrimination measure between two doubly truncated non-negative random variables is proposed. Several bounds are obtained. It is remarked that the proposed measure can never be equal to a nonzero constant which is independent of the left and right truncated points. The effect of monotone transformations on...
Some results on exponential families of Markov processes
Some statistical inferences regarding population diversity in terms of the hypoentropy measure.
We consider a measure of the diversity of a population based on the λ-measure of hypoentropy introduced by Ferreri (1980). Our purpose is to study its asymptotic distribution for testing hypotheses. A numerical example based on real data is given.
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 applications of order - weighted information energy
A statistic using the concept of order - weighted information energy introduced by Tuteja et al. (1992) is considered and its asymptotic distribution in a stratified random sampling is obtained. Some special cases are also discussed.
Statistical data reduction via construction of sample space partitions
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.
Statistical tests of optimality of source codes
Stochastic domination for iterated convolutions and catalytic majorization
We study how iterated convolutions of probability measures compare under stochastic domination. We give necessary and sufficient conditions for the existence of an integer n such that μ*n is stochastically dominated by ν*n for two given probability measures μ and ν. As a consequence we obtain a similar theorem on the majorization order for vectors in Rd. In particular we prove results about catalysis in quantum information theory.
Stochastic Ordering and Schur-Convex Functions in Comparison of Linear Experiments.
Sufficiency and Unbiased Estimation.
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.
Sufficiency in linear models
Sufficiency in sequential experimental design problems
Sufficient Data Reduction and Exponential Families.
Suffiziente Vergröberungen im schwach dominierten Fall.
Suffizienz bei Verschiebungsvarianten Schätzproblemen.
Sur l'approximation de familles de mesures par des familles gaussiennes
Sur l'existence d'une plus petite sous-tribu exhaustive par paire