We propose a method for testing homogeneity in three dimensional spatial distributions using Renyi entropy. apply the proposed to data from cosmological N-body simulations and Monte Carlo of homogeneous Poisson point process. show that can effectively characterize inhomogeneities identify any transition scale homogeneity, if present such distributions. The be used study cosmic future generation...

Ventricular tachycardia or fibrillation (VT-VF) as fatal cardiac arrhythmia is the major cause leading to sudden cardiac death. It is crucial for the patient to receive immediate medical intervention when either VT or VF occurs. The aim of this study is to investigate the possibility of predicting ventricular arrhythmia from electrocardiogram (ECG) signals. We use symbolic dynamics together wit...

We consider a simple hypothesis and alternative about an abstract random observation parametrized by A from a directed set A. The asymptotics over A is evaluated for mixed errors of the Bayes tests and second kind errors of the Neyman-Pearson tests. Similar asymptotics has been first evaluated by H. ChernofT and Ch. Stein when A is the set of naturals and the observation consists of the first X...

Edge detection is an important task in image processing. Edge is defined as the boundary between two regions separated by two relatively distinct gray level properties. Traditional edge detection methods give rise to the exponential increment of computational time. In this paper, edge detection in gray level images is done by using Renyi entropy and particle swarm optimization (PSO) algorithm. ...

Abstract: At present, the research is still in the primary stage in the process of fault disturbance energy transfer in the multilevel modular converter based high voltage direct current (HVDC-MMC). An urgent problem is how to extract and analyze the fault features hidden in MMC electrical information in further studies on the HVDC system. Aiming at the above, this article analyzes the influenc...

We consider the natural measures associated with a family of conformal iterated function systems satisfying the transversality condition but no separation condition. We provide the exact value of their generalised Renyi dimensions Dq for q in a certain range.

Minimal spanning trees (MST) have been applied to multi-dimensional random processes for pattern recognition and randomness testing (See [l] for references). In this paper we present a robust version of the MST to estimate complexity features of a point process intensity function under an epsilon contaminated model for the intensity. The principal feature considered is the Renyi entropy of the ...