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energy

swMATH ID: 8072
Software Authors: Székely, Gábor J.; Rizzo, Maria L.
Description: Energy statistics: a class of statistics based on distances. Energy distance is a statistical distance between the distributions of random vectors, which characterizes equality of distributions. The name energy derives from Newton’s gravitational potential energy, and there is an elegant relation to the notion of potential energy between statistical observations. Energy statistics are functions of distances between statistical observations in metric spaces. Thus even if the observations are complex objects, like functions, one can use their real valued nonnegative distances for inference. Theory and application of energy statistics are discussed and illustrated. Finally, we explore the notion of potential and kinetic energy of goodness-of-fit.
Homepage: http://cran.r-project.org/web/packages/energy/index.html
Source Code:  https://github.com/cran/energy
Dependencies: R
Keywords: energy distance; goodness-of-fit; multivariate independence; distance covariance; distance correlations
Related Software: R; MVN; mvShapiroTest; IndependenceTests; ElemStatLearn; MNM; fda (R); dHSIC; HHG; nortest; sn; FastMMD; Wasserstein GAN; GitHub; multivariance; copula; copula; vegan; Kernlab; Hmisc
Cited in: 130 Documents
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Cited by 257 Authors

10 Rizzo, Maria L.
9 Székely, Gábor J.
6 Meintanis, Simos G.
5 Edelmann, Dominic
5 Pronzato, Luc
5 Zhigljavsky, Anatoly A.
5 Zhu, Lixing
4 Hušková, Marie
3 Dang, Xin
3 Ebner, Bruno
3 Ghosh, Anil Kumar
3 Guo, Xu
3 Henze, Norbert
3 Hlávka, Zdeněk
3 Peng, Liuhua
3 Priebe, Carey E.
3 Richards, Donald St. P.
3 Sang, Yongli
3 Sen, Bodhisattva
3 Tolosana-Delgado, Raimon
3 van den Boogaart, Karl Gerald
2 Chen, Feifei
2 Drton, Mathias
2 Dueck, Johannes
2 Herwartz, Helmut
2 Huang, Bingyao
2 Lafaye de Micheaux, Pierre
2 Liu, Yanyan
2 Lopez-Paz, David
2 Mak, Simon
2 Mueller, Ute A.
2 Niu, Cuizhen
2 Pini, Alessia
2 Roshan Joseph, V.
2 Sarkar, Soham
2 Smith, Ralph C.
2 Stamm, Aymeric
2 Tang, Minh
2 Vantini, Simone
2 Vogelstein, Joshua T.
2 Wasserman, Larry Alan
2 Zhang, Kai
1 Abushilah, Samira F.
1 Agboola, Oluwagbenga David
1 Al-Labadi, Luai
1 Allen, Sam D.
1 Allison, James Samuel
1 Anselmi, Fabio
1 Arjovsky, Martin
1 Asadi, Majid
1 Athreya, Avanti
1 Azzimonti, Dario
1 Balakrishnan, Sivaraman
1 Barzegar, Zahra
1 Berrendero, Jose Ramon
1 Berrett, Thomas B.
1 Betsch, Steffen
1 Biau, Gérard
1 Bilodeau, Martin
1 Biswas, Rahul
1 Bleakley, Kevin
1 Bodenham, Dean A.
1 Bondell, Howard D.
1 Bortolussi, Luca
1 Bottou, Léon
1 Cairoli, Francesca
1 Candès, Emmanuel J.
1 Chakraborty, Shubhadeep
1 Chang, Ming Chung
1 Charon, Nicolas
1 Chen, Bo
1 Chen, Jiajia
1 Chipman, Hugh A.
1 Corani, Giorgio
1 Cuevas, Antonio
1 Cui, Hengjian
1 Curry, Jamye
1 da Veiga, Sébastien
1 Dadashova, Kamala
1 Dai, Xinjie
1 De, Shyamal Krishna
1 Deb, Nabarun
1 Dehghan, Sakineh
1 Desgagné, Alain
1 Dette, Holger
1 Didier, Gilles
1 Diebold, Francis Xavier
1 Dong, Yuexiao
1 d’Onofrio, Alberto
1 Ernst, Jakob
1 Fan, Xiaodan
1 Fan, Yanan
1 Faridrohani, Mohammad Reza
1 Fazeli Asl, Forough
1 Febrero-Bande, Manuel
1 Feindt, Michael
1 Fishkind, Donniell E.
1 Fokianos, Konstantinos
1 Gel, Yulia R.
1 Genton, Marc G.
...and 157 more Authors
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Cited in 56 Serials

11 Journal of Multivariate Analysis
8 The Annals of Statistics
7 Computational Statistics and Data Analysis
7 Electronic Journal of Statistics
6 Journal of Statistical Computation and Simulation
6 Statistical Papers
5 Journal of the American Statistical Association
5 Statistics & Probability Letters
4 Journal of Statistical Planning and Inference
4 Test
4 Statistics and Computing
3 Statistica Sinica
3 Journal of Machine Learning Research (JMLR)
3 The Annals of Applied Statistics
3 Mathematical Geosciences
3 Journal of Computational and Graphical Statistics
2 Statistical Science
2 Bernoulli
2 Journal of Applied Statistics
2 Sankhyā. Series A
2 SIAM/ASA Journal on Uncertainty Quantification
1 The Canadian Journal of Statistics
1 Metrika
1 Physica A
1 Scandinavian Journal of Statistics
1 Bulletin of Mathematical Biology
1 Annals of the Institute of Statistical Mathematics
1 The Annals of Probability
1 International Statistical Review
1 Journal of Computational and Applied Mathematics
1 Metron
1 Theoretical Computer Science
1 Physica D
1 Acta Mathematicae Applicatae Sinica. English Series
1 Econometric Reviews
1 Journal of Theoretical Probability
1 Neural Networks
1 Machine Learning
1 Economics Letters
1 Computational Statistics
1 Mathematical Methods of Statistics
1 Random Operators and Stochastic Equations
1 Mathematical and Computer Modelling of Dynamical Systems
1 Communications in Nonlinear Science and Numerical Simulation
1 Brazilian Journal of Probability and Statistics
1 Hacettepe Journal of Mathematics and Statistics
1 Statistical Methods and Applications
1 Inverse Problems in Science and Engineering
1 Advances in Data Analysis and Classification. ADAC
1 AStA. Advances in Statistical Analysis
1 Statistics Surveys
1 Science China. Mathematics
1 Journal of Theoretical Biology
1 Use R!
1 SN Operations Research Forum
1 Matematicheskie Voprosy Kriptografii

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