ARfit swMATH ID: 46 Software Authors: Schneider, Tapio; Neumaier, Arnold Description: ARfit is a collection of Matlab modules for modeling and analyzing multivariate time series with autoregressive (AR) models. ARfit contains modules to given time series data, for analyzing eigen modes of a fitted model, and for simulating AR processes. ARfit estimates the parameters of AR models from given time series data with a stepwise least squares algorithm that is computationally efficient, in particular when the data are high-dimensional. ARfit modules construct approximate confidence intervals for the estimated parameters and compute statistics with which the adequacy of a fitted model can be assessed. Dynamical characteristics of the modeled time series can be examined by means of a decomposition of a fitted AR model into eigenmodes and associated oscillation periods, damping times, and excitations. The ARfit module that performs the eigendecomposition of a fitted model also constructs approximate confidence intervals for the eigenmodes and their oscillation periods and damping times. Homepage: http://climate-dynamics.org/software/#arfit Programming Languages: Matlab Dependencies: Matlab Keywords: Matlab; multivariate time series; autoregressive models; statistics Related Software: FastICA; Matlab; mctoolbox; ICALAB; itsmr; bvarsv; DeepONet; Tensor2Tensor; ODEPACK; EnKF; glinternet; bootstrap; TETRAD; LMOMENTS; extRemes; ismev; MSLiP; sapa; Octave; EEGLAB Cited in: 38 Documents Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year Algorithm 808: ARfit – a Matlab package for the estimation of parameters and eigenmodes of multivariate autoregressive models. Zbl 1070.65504Schneider, Tapio; Neumaier, Arnold 2001 all top 5 Cited by 87 Authors 4 Schneider, Tapio 3 Szabo, Zoltan 2 Cremers, Daniel 2 Galka, Andreas 2 Lőrincz, András Cristian 2 Neumaier, Arnold 2 Ozaki, Tohru 2 Póczos, Barnabás 2 Stuart, Andrew M. 2 Wu, JinLong 1 Abreu, Giuseppe 1 Anagnostopoulos, Christos-Nikolaos 1 Ang, Kai Keng 1 Baumgartner, Christoph 1 Bayard, Jorge Bosch 1 Bien, Jacob 1 Birkelund, Yngve 1 Bódai, Tamás 1 Cabuz, Simona 1 Ciprian Patic, Paul 1 Coomber, Ben 1 Deistler, Manfred 1 Dyrholm, Mads 1 Ertüzün, Ayşin 1 Fakotakis, Nikos D. 1 Flamm, Christoph 1 Funka-Lea, Gareth 1 García-Hiernaux, Alfredo 1 Gençağa, Deniz 1 Georgas, Panagiotis 1 Graef, Andreas 1 Gu, Zhenghui 1 Guan, Cuntai 1 Hadjiefthymiades, Stathes 1 Hansen, Lars Kai 1 Hanssen, Alfred 1 Harlim, John 1 He, Lin 1 Hong, Hoon 1 Hsiao, Hsiao-Fen 1 Hu, Guannan 1 Huang, Jiangchuan 1 Kiszlinger, Melinda 1 Klimchenko, V. V. 1 Komaki, Fumiyasu 1 Krippner, Leo 1 Kuruoglu, Ercan Engin 1 Latorre, Juan Cristobal 1 Levine, Matthew E. 1 Li, Xinyang 1 Li, Yuanqing 1 Lin, Zheng-Wei 1 Lucarini, Valerio 1 Makeig, Scott 1 Mason, Rob 1 Matsuda, Takeru 1 Matteson, David S. 1 Meerbach, Eike 1 Morari, Manfred 1 Muhle, Hiltrud 1 Ndiour, Ibrahima J. 1 Nicholson, William B. 1 Niedzielski, Tomasz 1 Nolde, Kristian 1 Ntalampiras, Stavros 1 Ong, Sim-Heng 1 Orsingher, Enzo 1 Owen, Markus Roger 1 Pan, Yaozhang 1 Polito, Federico 1 Potamitis, Ilyas 1 Robbins, Jacob L. 1 Roe, Gerard 1 Rosenblatt, Murray 1 Schlögl, Alois 1 Schütte, Christof 1 Stephani, Ulrich 1 Taxidis, Jiannis 1 Teizer, Jochen 1 Uhr, Markus 1 Vela, Patricio A. 1 Wilms, Ines 1 Wong, Kin Foon Kevin 1 Yamashita, Okito 1 Yu, Zhuliang 1 Zemouri, Ryad 1 Zhang, Haihong all top 5 Cited in 22 Serials 3 Journal of Computational Physics 3 Neural Computation 2 Biological Cybernetics 2 Journal of Statistical Physics 2 ACM Transactions on Mathematical Software 2 Signal Processing 2 Multidimensional Systems and Signal Processing 1 Bulletin of Mathematical Biology 1 Automatica 1 Information Sciences 1 Journal of Time Series Analysis 1 Journal of Parallel and Distributed Computing 1 Economics Letters 1 Automation and Remote Control 1 Pattern Recognition 1 Chaos 1 Stochastic Environmental Research and Risk Assessment 1 Journal of Machine Learning Research (JMLR) 1 Multiscale Modeling & Simulation 1 Review of Derivatives Research 1 EURASIP Journal on Advances in Signal Processing 1 SIAM Journal on Imaging Sciences all top 5 Cited in 13 Fields 18 Statistics (62-XX) 10 Computer science (68-XX) 7 Systems theory; control (93-XX) 6 Biology and other natural sciences (92-XX) 5 Information and communication theory, circuits (94-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Numerical analysis (65-XX) 3 Geophysics (86-XX) 2 Probability theory and stochastic processes (60-XX) 1 Fluid mechanics (76-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year