The clustering coefficient quantifies how well connected are the neighbors of a vertex in a graph. In real networks it decreases with the vertex degree, which has been taken as a signature of the network hierarchical structure. Here we show that this signature of hierarchical structure is a consequence of degree-correlation biases in the clustering coefficient definition. We introduce a definit...

How to manage conflict is still an open issue in Dempster-Shafer evidence theory. The correlation coefficient can be used to measure the similarity of evidence in Dempster-Shafer evidence theory. However, existing correlation coefficients of belief functions have some shortcomings. In this paper, a new correlation coefficient is proposed with many desirable properties. One of its applications i...

With the establishment of global biological monitor network and development of remote sensing technology, data won’t be a limitation, but the variance brought by spatial heterogeneous and fractal will influence correlation coefficient significantly with the enlarged sample scale. Those impede us to find more intrinsic principle in ecology. Ecology is based on experiment, and the experiment meth...

Introduction: The ability to track motion is essential for many MRI applications. Specific applications of interest in our lab include retrospective and prospective 2D navigator echo motion artifact correction as well as post-process image averaging[l]. Previous attempts at motion tracking can be broadly classified into: 1) phase-based subtraction or 2) image-based pattern matching techniques. ...

This article investigates some unfamiliar properties of the Pearson product-moment correlation coefficient for the estimation of simple correlation coefficient. Although Pearson's r is biased, except for limited situations, and the minimum variance unbiased estimator has been proposed in the literature, researchers routinely employ the sample correlation coefficient in their practical applicati...

Based on the point of view of geometrical representation of an intuitionistic fuzzy set, we take into account all three parameters describing intuitionistic fuzzy set, propose a kind of new method to calculate correlation and correlation coefficient of intuitionistic fuzzy sets which is similar to the cosine of the intersectional angle in finite sets and probability space, respectively. Further...

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Pearson's correlation is one of the most common measures of linear dependence. Recently, Bernardo (11th International Workshop on Objective Bayes Methodology, 2015) introduced a flexible class of priors to study this measure in a Bayesian setting. For this large class of priors, we show that the (marginal) posterior for Pearson's correlation coefficient and all of the posterior moments are anal...

The field experiment was carried out during Rabi season of the year 2011-2012 on the experimental field of Department of Horticulture, Dr. PDKV, Akola, Maharashtra (India). The study was undertaken on twenty four genotypes of coriander using Randomized Block Design with three replications. This study revealed that number of umbels per plant (0.25) and test weight (0.31) was associated significa...

\Ve propose a new method for robust image registrat,ion called 'Selective Correlation Coefficient (SCC)' in order to search images under illconditioned illuminat,ion or partial occlusion. A correlation mask image is generated for selecting pixels of a image before matching. The mask image can be derived from a binary-coded increment sign image defined from any object image and the template imag...