Abstract We discuss a relationship between information geometry and the Glansdorff–Prigogine criterion for stability. For linear master equation, we found relation line element excess entropy production rate. This leads to new perspective of stability in nonequilibrium steady-state. also generalize based on geometry. Our information-geometric works well nonlinear where does not work well. deriv...

A generalized information formula related to logical probability and fuzzy set is deduced from the classical information formula. The new information measure accords with to Popper’s criterion for knowledge evolution very much. In comparison with square error criterion, the information criterion does not only reflect error of a proposition, but also reflect the particularity of the events descr...

For model selection in mixed effects models, Vaida and Blanchard (2005) demonstrated that the marginal Akaike information criterion is appropriate as to the questions regarding the population and the conditional Akaike information criterion is appropriate as to the questions regarding the particular clusters in the data. This article shows that the marginal Akaike information criterion is asymp...

In the presented paper, we address a problem of the appropriate setting of a parameter in a selected quasipolynomial with two delay elements in order to ensure that all its zeros are located in the open left-half complex plane. The quasipolynomial can represent the dynamics of a system with internal delays and thus it can decide about system stability. In contrast to many other analyses, a non-...

a major problem in information retrieval is the difficulty to define the information needs of user and on the other hand, when user offers your query there is a vast amount of information to retrieval. different methods , therefore, have been suggested for query expansion which concerned with reconfiguring of query by increasing efficiency and improving the criterion accuracy in the information...

The Likelihood Principle has been defended on Bayesian grounds, on the grounds that it coincides with and systematizes intuitive judgments about example problems, and by appeal to the fact that it generalizes what is true when hypotheses have deductive consequences about observations. Here we divide the Principle into two parts -one qualitative, the other quantitative -and evaluate each in the ...

The paper considers the problem of comparing income distributions for heterogeneous populations. The first contribution of this paper is a precise dominance criterion combined with a simple algorithm. This criterion is shown to be equivalent to unanimity among utilitarian social planners whose objectives are compatible with given intervals of equivalence scales. The second contribution of the p...