共查询到20条相似文献,搜索用时 15 毫秒
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Frank Caridi 《Journal of multivariate analysis》1983,13(1):52-66
For the problem of estimating the natural parameter of a p-dimensional exponential family, a characterization of regular limits of Bayes procedures is obtained which generalizes results of Sacks [14], Brown [3], and Berger and Srinivasan [1]. The form is deduced under regularity conditions for the loss function which are more general than squared error. As a corollary it is then stated that the class of procedures with this form is a complete class. The parameter space may be open, and when it is closed, the limits of Bayes procedures are generalized Bayes. 相似文献
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Nathanael Ackerman Cameron Freer Aleksandra Kwiatkowska Rehana Patel 《Annals of Pure and Applied Logic》2017,168(1):19-36
We consider the space of countable structures with fixed underlying set in a given countable language. We show that the number of ergodic probability measures on this space that are -invariant and concentrated on a single isomorphism class must be zero, or one, or continuum. Further, such an isomorphism class admits a unique -invariant probability measure precisely when the structure is highly homogeneous; by a result of Peter J. Cameron, these are the structures that are interdefinable with one of the five reducts of the rational linear order . 相似文献
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Anticipated utility: A measure representation approach 总被引:8,自引:0,他引:8
Uzi Segal 《Annals of Operations Research》1989,19(1):359-373
This paper presents axioms which imply that a preference relation over lotteries can be represented by a measure of the area above the distribution function of each lottery. A special case of this family is the anticipated utility functional. One additional axiom implies this theory. This functional is then extended for the case of vectorial prizes.The author is grateful to Chew Soo Hong, Larry Epstein, Joe Ostroy, Joel Sobel, Peter Wakker, and Menahem Yaari for their comments. 相似文献
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Jens Peter Reus Christensen 《Israel Journal of Mathematics》1972,13(3-4):255-260
It is shown that the concept of zero set for the Haar measure can be generalized to abelian Polish groups which are not necessarily
locally compact. It turns out that these groups, in many respects, behave like locally compact groups. Suitably modified,
many theorems from harmonic analysis carry over to this case. A few applications are given and some open problems are mentioned. 相似文献
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S. Ahadpour S. Behnia M.A. Jafarizadeh G. Ghasemi 《Communications in Nonlinear Science & Numerical Simulation》2009,14(7):2916-2922
Chaos synchronization, as an important topic, has become an active research subject in non-linear science. By considering a symmetric two-dimensional map that possesses invariant measure in its diagonal and anti-diagonal invariant sub-manifolds, we have been able to introduce the most general pair-coupled map possessing invariant measure at synchronized or anti-synchronized states. Then chaotic synchronization and anti-synchronization are investigated in introduced model. We have calculated Kolmogrov–Sinai entropy and Lyapunov exponent as another tool to study the stability of pair-coupled map at synchronized and anti-synchronization states. 相似文献
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Philippe Chassaing 《Stochastic Processes and their Applications》2011,121(11):2474-2487
We exhibit a Probabilistic Cellular Automaton (PCA) on {0,1}Z with a neighborhood of size 2 which is non-ergodic although it has a unique invariant measure. This answers by the negative an old open question on whether uniqueness of the invariant measure implies ergodicity for a PCA. 相似文献
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A. N. Kanatnikov 《Differential Equations》2017,53(11):1406-1412
We suggest a new approach to the verification of the stability (or asymptotic stability) of the equilibria of time-invariant discrete-time systems based on stability and asymptotic stability criteria stated in terms of invariant sets. A set-theoretic method for the verification of the conditions in these criteria is presented. 相似文献
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María J. Carro Amiran Gogatishvili Joaquim Martín Luboš Pick 《Journal of Functional Analysis》2005,229(2):375-404
Function spaces whose definition involves the quantity f**-f*, which measures the oscillation of f*, have recently attracted plenty of interest and proved to have many applications in various, quite diverse fields. Primary role is played by the spaces Sp(w), with 0<p<∞ and w a weight function on (0,∞), defined as the set of Lebesgue-measurable functions on R such that f*(∞)=0 and
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Ronald R. Yager 《Annals of Operations Research》1988,12(1):297-314
We first review Zadeh's theory for representing and reasoning with quantified statements of the formQ A's are B. We then suggest an equivalent representation in terms ofQ X's are (A B). We briefly look at some implications of this new representation. 相似文献
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M. G. Nadkarni 《Proceedings Mathematical Sciences》1990,100(3):203-220
A necessary and sufficient condition is given for a Borel automorphism on a standard Borel space to admit an invariant probability
measure. 相似文献
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I. N. Sinitsyn 《Computational Mathematics and Modeling》1998,9(2):167-175
The article studies stochastic processes defined by Ito stochastic differential equations with Wiener white noise. Methods
are considered that find exact expressions for finite-dimensional densities of random stationary and nonstationary (in the
narrow sense) processes based on construction of integral invariants of specially chosen systems of ordinary differential
equations.
Translated from Algoritmy Upravleniya i Identifikatsii, pp. 129–140, 1997. 相似文献
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Summary The paper extends the ergodic theorems of information theory (Shannon-MacMillan-Breiman theorems) to spaces with an infinite invariant measure. An L
1 difference theorem and a pointwisa ratio theorem are proved, for the information of spreading partitions. For the validity of the theorems it is assumed that the supremum f
* of the conditional information given the increasing past is integrable. Simple necessary and sufficient conditions for the integrability of f
* are obtained in special cases: If the initial partition is composed of one state of a null-recurrent Markov chain, then f
* is integrable if and only if the partition of this state according to the first return times has finite entropy.Research of both authors was supported by the National Science Foundation (U. S. A.), under Grant GP 7693. 相似文献