We reprove the well-known fact that energy distance defines a metric on space of Borel probability measures Hilbert with finite first moment by new approach, analyzing behavior Gaussian kernel spaces and maximum mean discrepancy analysis. From this point view, we are able to generalize family kernels related Bernstein functions conditionally negative definite kernels. also explain what occurs $...

In applications of differential geometry to problems of parametric inference, the notion of divergence is often used to measure the separation between two parametric densities. Among them, in this paper, we will verify measures such as Kullback-Leibler information, J-divergence, Hellinger distance, -Divergence, … and so on. Properties and results related to distance between probability d...

Increasing interest is being shown in the use of microprocessor for protection, switching and data acquisition required in modern high voltage substations. One of the most difficult functions to fulfill is that of transmission line distance protection employing samples of the voltage and current waveform taken from high voltage transducer equipment at the usual relaying point. This paper examin...

aging has negative effects on motor and cognitive functions, therefore finding appropriate strategies to prevent the decline of these functions is necessary. it seems that cardiovascular fitness obtained by aerobic activity is a physiological mediator that explains the relationship between physical activity and improved cognitive performance. the aim of this research was to assess the effects o...

Frame imperfection, non-response and unequal selection probabilities always affect survey results. In order to compensate for the effects of these problems, Devill and Särndal (1992) introduced a family of estimators called calibration estimators. In these estimators we look for weights that have minimum distance with design weights based on a distance function and satisfy calibration equa...

Edit distance metrics are widely used for many applications such as string comparison and spelling error corrections. Hamming distance is a metric for two equal length strings and Damerau-Levenshtein distance is a well-known metrics for making spelling corrections through string-to-string comparison. Previous distance metrics seems to be appropriate for alphabetic languages like English and Eur...

potato image segmentation is an important part of image-based potato defect detection. this paper presents a robust potato color image segmentation through a combination of a fuzzy rule based system, an image thresholding based on genetic algorithm (ga) optimization and morphological operators. the proposed potato color image segmentation is robust against variation of background, distance and ...

In this paper, we present some fixed point theorems for single valued mappings on $K$-complete, $M$-complete and Symth complete quasi metric spaces. Here, for contractive condition, we consider some altering distance functions together with functions belonging to $C$-class and $A$-class. At the same time, we will consider two different type $M$ functions in contractive conditions because the qu...