Results 21 to 30 of about 88 (88)
International Journal of Mathematics and Mathematical Sciences, Volume 9, Issue 3, Page 545-550, 1986., 1986 In this series, this paper is devoted to the study of a functional equation connected with the characterization of weighted entropy and weighted entropy of degree β. Here, we find the general solution of the functional equation (2) on an open domain, without using 0‐probability and 1‐probability.
Pl. Kannappan, P. K. Sahoo
wiley +1 more source
Aggregation invariance in general clustering approaches
, 2009 Aggregation invariance, c-Means clustering, EM algorithm, Fuzzy clustering, Model-based clustering, Mutual information, 34K20, 62P99, 65K10, 82B26, 94A17, 94D05,
Bavaud, F., François Bavaud
core +1 more source
Journal of Mathematics, Volume 2026, Issue 1, 2026.Measures of uncertainty such as entropy, extropy, varentropy, and varextropy play a fundamental role in statistical modeling and information analysis of probability distributions. In this article, we present and examine the variance of generalized extropy, providing a detailed investigation of its mathematical structure and theoretical characteristics.
Mohamed Said Mohamed +2 more
wiley +1 more source
Scientific AfricanExtropy has recently become a focal point of study as a measure of uncertainty in probability distributions and serves as the dual complement to entropy.
Amal S. Hassan +3 more
doaj +1 more source
New Jensen's bounds for HA-convex mappings with applications to Shannon entropy
Demonstratio MathematicaThe aim of this article is to establish some new extensions and variants of Jensen’s discrete and Simic-type inequalities for HA-convex and uniformly HA-convex functions.
Sayyari Yamin +4 more
doaj +1 more source
Minimum Description Length Principle in Discriminating Marginal Distributions [PDF]
, 2013 2010 Mathematics Subject Classification: 94A17, 62B10, 62F03.In this paper the MDL principle is explored in discriminating between a model with normal marginal distributions vs a model with Student-T marginal distributions.
Nonchev, Bono
core
Dynamic Parameter Estimation Based on Minimum Cross-Entropy Method for Combining Information Sources [PDF]
, 2015 When combining information sources, e.g. measuring devices or experts, we deal with two problems: which combining method to choose (linear combination, geometric mean) and how to measure the reliability of the sources, i.e.
Sečkárová, Vladimíra
core
Metric properties of partial and robust Gromov-Wasserstein distances
Analysis and Geometry in Metric SpacesThe Gromov-Wasserstein (GW) distances define a family of metrics, based on ideas from optimal transport, which enable comparisons between probability measures defined on distinct metric spaces.
Chhoa Jannatul +6 more
doaj +1 more source
An alternate measure of the cumulative residual Sharma-Taneja-Mittal entropy
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaWe define a new alternate measure of the cumulative residual Sharma-Taneja-Mittal entropy. For this measure, there are given upper and lower bounds, is introduced a consistent test based on the uniform distribution and some concrete numerical examples ...
Sfetcu Răzvan-Cornel +2 more
doaj +1 more source
Entropy Based Approach to Finding Interacting Genes Responsible for Complex Human Disease [PDF]
, 2007 2000 Mathematics Subject Classification: 62P10, 92D10, 92D30, 94A17, 62L10.A challenging problem in human genetics is the identification and characterization of susceptibility genes for complex human diseases such as cardiovascular disease, cancer ...
Nickolov, Radoslav, Milanov, Valentin
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