The Kolmogorov-Sinai entropy in the sense of Tsallis under Bernoulli shifts was obtained by Mesón and Vericat [J. Math. Phys. 37, 4480(1996)]. In this paper, we propose a revised generalized Kolmogorov-Sinai-q entropy under Markov shifts. The form of this generalized entropy with factor q is nonextensive. The new generalized entropy contains the classical Kolmogorov-Sinai entropy and Renýı entr...

Classification and interpretation of satellite images are complex processes and that may be affected by various factors. Most fuzzy based soft classification techniques have been used to provide a more appropriate and accurate area estimation when fine, medium and coarse spatial resolution data are being used. Spatial resolution determines the spatial details on the Earth surface and greatly re...

The local ζ−function approach is implemented to regularize the natural path integral definition of the geometric entropy in the large mass black hole Euclidean manifold. The case of a massless field coupled with the (off-shell) singular curvature is considered. It is proved that the geometric entropy is independent of the curvature coupling parameter ξ avoiding negative values obtained in other...

Let G $$ be a finite tree. For any matching M of , let U ( ) U(M) the set vertices uncovered by . ℳ {\mathcal{M}}_G uniform random maximum size In this paper, we analyze structure U\left({\mathcal{M}}_G\right) We first show that is determinantal process. also for most process in small neighborhood vertex can well approximated based on somewhat larger same vertex. Then normalized Shannon entropy...

In this paper, we use maximum entropy to estimate the parameters in an economic model. We demonstrate the use of the generalized maximum entropy (GME) estimator, describe how to specify the GME parameter support matrix, and examine the sensitivity of GME estimates to the parameter and error bounds. We impose binding inequality restrictions through the GME parameter support matrix and develop a ...

Many functionals have been proposed for validation of partitions of object data produced by the fuzzy c-means (FCM) clustering algorithm. We examine the role a subtle but important parameter-the weighting exponent m of the FCM model-plays in determining the validity of FCM partitions. The functionals considered are the partition coefficient and entropy indexes of Bezdek, the Xie-Beni, and exten...

Two methods based on the principle of maximum entropy (POME), the ordinary entropy method (ENT) and the parameter space expansion method (PSEM), are developed for estimating the parameters of a four-parameter exponential gamma distribution. Using six data sets for annual precipitation at the Weihe River basin in China, the PSEM was applied for estimating parameters for the four-parameter expone...