Results 1 to 10 of about 4,840,438 (270)
Silhouette width using generalized mean—A flexible method for assessing clustering efficiency [PDF]
Ecology and Evolution, 2019 Cluster analysis plays vital role in pattern recognition in several fields of science. Silhouette width is a widely used index for assessing the fit of individual objects in the classification, as well as the quality of clusters and the entire ...
Attila Lengyel, Zoltán Botta‐Dukát
doaj +3 more sources
Sharp Generalized Seiffert Mean Bounds for Toader Mean [PDF]
Abstract and Applied Analysis, 2011 For p∈[0,1], the generalized Seiffert mean of two positive numbers a and b is defined by Sp(a,b)=p(a-b)/arctan[2p(a-b)/(a+b ...
Yu-Ming Chu +3 more
doaj +2 more sources
On Generalized Flett's Mean Value Theorem [PDF]
International Journal of Mathematics and Mathematical Sciences, 2012 We present a new proof of generalized Flett's mean value theorem due to Pawlikowska (from 1999) using only the original Flett's mean value theorem. Also, a Trahan-type condition is established in general case.
Jana Molnárová
doaj +5 more sources
Multiple Attribute Decision-Making Based on Three-Parameter Generalized Weighted Heronian Mean
Mathematics, 2021 For the aggregation problem of attributes with a correlation relationship, it is often necessary to take the correlation factor into account in order to make the decision results more objective and reasonable. The Heronian mean is an aggregation operator
Ximei Hu, Shuxia Yang, Ya-Ru Zhu
doaj +3 more sources
Generalized Homogeneity of Means [PDF]
ISRN Mathematical Analysis, 2011 We extend the classical notions of translativity and homogeneity of means to -homogeneity, that is, invariance with respect to an operation We find the shape of for the arithmetic weighted mean and then the general form of for quasi-linear means. Also, we are interested in characterizations of means.
Pałys, Małgorzata, Sablik, Maciej
openaire +2 more sources
Stochastic Order and Generalized Weighted Mean Invariance
Entropy, 2021 In this paper, we present order invariance theoretical results for weighted quasi-arithmetic means of a monotonic series of numbers. The quasi-arithmetic mean, or Kolmogorov–Nagumo mean, generalizes the classical mean and appears in many disciplines ...
Mateu Sbert +3 more
doaj +1 more source
The Generalized Price Equation: Forces That Change Population Statistics
Frontiers in Ecology and Evolution, 2020 The Price equation partitions the change in the expected value of a population measure. The first component describes the partial change caused by altered frequencies. The second component describes the partial change caused by altered measurements.
Steven A. Frank, William Godsoe
doaj +1 more source
New Approaches to Fractal Dimension Estimation With Application to Gray-Scale Images
IEEE Access, 2020 Two new approaches for calculating box-counting fractal dimension (FD) estimates for gray-scale images are considered to overcome some of the limitations of the standard box-counting method, which requires setting a threshold in a pre-processing step ...
Piotr D. Szyperski, D. Robert Iskander
doaj +1 more source
Generalized Neutrosophic Sampling Strategy for Elevated estimation of Population Mean [PDF]
Neutrosophic Sets and Systems, 2023 One of the disadvantages of the point estimate in survey sampling is that it fluctuates from sample to sample due to sampling error, as the estimator only provides a point value for the parameter under discussion.
Subhash Kumar Yadav +1 more
doaj +1 more source
Some Order Preserving Inequalities for Cross Entropy and Kullback–Leibler Divergence
Entropy, 2018 Cross entropy and Kullback⁻Leibler (K-L) divergence are fundamental quantities of information theory, and they are widely used in many fields. Since cross entropy is the negated logarithm of likelihood, minimizing cross entropy is equivalent to ...
Mateu Sbert +3 more
doaj +1 more source