Following the work of Hurvich, Shumway, and Tsai (1990), we propose an “improved” variant of the Akaike information criterion, AICi, for state-space model selection. The variant is based on Akaike’s (1973) objective of estimating the Kullback-Leibler information (Kullback 1968) between the densities corresponding to the fitted model and the generating or true model. The development of AICi proc...

We give a detailed analysis of the Gibbs-type entropy notion and its dynamical behavior in case of time-dependent continuous probability distributions of varied origins: related to classical and quantum systems. The purpose-dependent usage of conditional Kullback-Leibler and Gibbs (Shannon) entropies is explained in case of non-equilibrium Smoluchowski processes. A very different temporal behav...

Dear Editor, The topic addressed by this brief communication is the quantification of diagnostic information and, in particular, a method of illustrating graphically the quantification of diagnostic information for binary tests. To begin, consider the following outline procedure for development of such a test. An appropriate indicator variable that will serve as a proxy for the actual variable ...

Dear Editor, The topic addressed by this brief communication is the quantification of diagnostic information and, in particular, a method of illustrating graphically the quantification of diagnostic information for binary tests. To begin, consider the following outline procedure for development of such a test. An appropriate indicator variable that will serve as a proxy for the actual variable ...

Abstract Ship detection in synthetic aperture radar (SAR) imagery is an important application the field of marine remote sensing. As most common method ship detection, classical constant false alarm rate (CFAR) methods rely on target-to-clutter contrast and accurate estimates distribution models, making it difficult to adapt complex variable sea surface backgrounds. Considering limitations CFAR...

Dear Editor, The topic addressed by this brief communication is the quantification of diagnostic information and, in particular, a method of illustrating graphically the quantification of diagnostic information for binary tests. To begin, consider the following outline procedure for development of such a test. An appropriate indicator variable that will serve as a proxy for the actual variable ...

Victor Bakhtin 1,* and Edvard Sokal 2 1 Department of Mathematics, IT and Landscape Architecture, John Paul II Catholic University of Lublin, Konstantynuv Str. 1H, 20-708 Lublin, Poland 2 Department of Mechanics and Mathematics, Belarusian State University, Nezavisimosti Ave. 4, 220030 Minsk, Belarus; [email protected] * Correspondence: [email protected] or [email protected]; Tel.: +375...

Dear Editor, The topic addressed by this brief communication is the quantification of diagnostic information and, in particular, a method of illustrating graphically the quantification of diagnostic information for binary tests. To begin, consider the following outline procedure for development of such a test. An appropriate indicator variable that will serve as a proxy for the actual variable ...