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; IndependenceTests; fda (R); mvShapiroTest; MNM; sn; copula; copula; dHSIC; HHG; vegan; ElemStatLearn; nortest; GitHub; bootstrap; ape; EDMeasure; circular; PearsonDS Cited in: 93 Publications all top 5 Cited by 183 Authors 10 Rizzo, Maria L. 9 Székely, Gábor J. 6 Meintanis, Simos G. 5 Zhu, Lixing 4 Hušková, Marie 4 Zhigljavsky, Anatoly A. 3 Edelmann, Dominic 3 Ghosh, Anil Kumar 3 Guo, Xu 3 Hlávka, Zdeněk 3 Priebe, Carey E. 3 Pronzato, Luc 3 Richards, Donald St. P. 3 Tolosana-Delgado, Raimon 3 van den Boogaart, Karl Gerald 2 Chen, Feifei 2 Dang, Xin 2 Dueck, Johannes 2 Ebner, Bruno 2 Henze, Norbert 2 Herwartz, Helmut 2 Mueller, Ute A. 2 Niu, Cuizhen 2 Pini, Alessia 2 Sarkar, Soham 2 Sen, Bodhisattva 2 Stamm, Aymeric 2 Tang, Minh 2 Vantini, Simone 2 Vogelstein, Joshua T. 2 Wasserman, Larry Alan 1 Abushilah, Samira F. 1 Al-Labadi, Luai 1 Allison, James Samuel 1 Asadi, Majid 1 Athreya, Avanti 1 Balakrishnan, Sivaraman 1 Berrendero, Jose Ramon 1 Berrett, Thomas B. 1 Betsch, Steffen 1 Biau, Gérard 1 Bilodeau, Martin 1 Biswas, Rahul 1 Bleakley, Kevin 1 Bondell, Howard D. 1 Candès, Emmanuel J. 1 Chakraborty, Shubhadeep 1 Charon, Nicolas 1 Chen, Bo 1 Chen, Jiajia 1 Cuevas, Antonio 1 Cui, Hengjian 1 Curry, Jamye 1 da Veiga, Sébastien 1 Dai, Xinjie 1 De, Shyamal Krishna 1 Dette, Holger 1 Didier, Gilles 1 Diebold, Francis Xavier 1 Dong, Yuexiao 1 Drton, Mathias 1 Ernst, Jakob 1 Fan, Xiaodan 1 Fan, Yanan 1 Fazeli Asl, Forough 1 Febrero-Bande, Manuel 1 Feindt, Michael 1 Fishkind, Donniell E. 1 Ghosal, Promit 1 Gneiting, Tilmann 1 González-Estrada, Elizabeth 1 González-Manteiga, Wenceslao 1 Guo, Lingzhe 1 Gusnanto, Arief 1 Haman, John T. 1 He, Daojiang 1 Hernández-Lobato, Daniel 1 Hlubinka, Daniel 1 Huang, Can 1 James, Nick 1 Jiang, Hangjin 1 Jiang, Qing 1 Jiang, Qingshan 1 Jiang, Xuejun 1 Jiménez-Gamero, María Dolores 1 Jin, Ze 1 Jo, Minyoung 1 Joenssen, Dieter W. 1 Kashyap, Ravi 1 Kerzel, Ulrich 1 Kharazmi, Omid 1 Kim, Ilmun 1 Koňasová, Kateřina 1 Kontoyiannis, Ioannis 1 Lafaye de Micheaux, Pierre 1 Lee, Sangyeol 1 Levin, Keith D. 1 Li, Gongkai 1 Li, Shengjia 1 Li, Yong ...and 83 more Authors all top 5 Cited in 41 Serials 11 Journal of Multivariate Analysis 7 The Annals of Statistics 6 Electronic Journal of Statistics 5 Journal of Statistical Computation and Simulation 5 Computational Statistics and Data Analysis 4 Journal of the American Statistical Association 4 Statistics & Probability Letters 4 Test 3 Journal of Statistical Planning and Inference 3 Statistical Papers 3 Statistica Sinica 3 Journal of Machine Learning Research (JMLR) 3 Mathematical Geosciences 2 Journal of Applied Statistics 2 The Annals of Applied Statistics 1 Physica A 1 Annals of the Institute of Statistical Mathematics 1 The Annals of Probability 1 Journal of Computational and Applied Mathematics 1 Metron 1 Physica D 1 Acta Mathematicae Applicatae Sinica. English Series 1 Econometric Reviews 1 Machine Learning 1 Economics Letters 1 Computational Statistics 1 Mathematical Methods of Statistics 1 Random Operators and Stochastic Equations 1 Bernoulli 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 AStA. Advances in Statistical Analysis 1 Science China. Mathematics 1 Journal of Theoretical Biology 1 SIAM/ASA Journal on Uncertainty Quantification 1 Use R! 1 SN Operations Research Forum all top 5 Cited in 16 Fields 89 Statistics (62-XX) 14 Probability theory and stochastic processes (60-XX) 5 Geophysics (86-XX) 4 Biology and other natural sciences (92-XX) 3 Numerical analysis (65-XX) 3 Computer science (68-XX) 2 Partial differential equations (35-XX) 1 Combinatorics (05-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year