Measurement of Linear Dependence and Feedback between Multiple Time Series

Investigating causal relations by econometric models and cross-spectral methods

Granger, C. W. J. (1969) · Econometrica · doi:10.2307/1912791 · Cited by 22,989 · see citing works

Stochastic processes

Doob, J. L., & Doob, J. L. (1953) · CERN Document Server (European Organization for Nuclear Research) · Cited by 8,964 · see citing works

Journal of The American Statistical Association

Fienberg, S. E. (2004) · Encyclopedia of Statistical Sciences · doi:10.1002/0471667196.ess1317 · Cited by 6,289 · see citing works

American Economic Review

Moffitt, R. (2009) · American Economic Review · doi:10.1257/aer.99.2.660 · Cited by 4,888 · see citing works

Tests of Statistical Hypotheses Concerning Several Parameters When the Number of Observations is Large

Wald, A. (1943) · Transactions of the American Mathematical Society · doi:10.1090/s0002-9947-1943-0012401-3 · Cited by 2,522 · see citing works

Toeplitz Forms and Their Applications

Grenander, U., Szegő, G., & Kac, M. (1958) · Physics Today · doi:10.1063/1.3062237 · Cited by 1,865 · see citing works

Distributions in Statistics: Continuous Multivariate Distributions.

Fisk, P. R., Johnson, N. L., & Kotz, S. (1973) · Journal of the Royal Statistical Society Series A (General) · doi:10.2307/2344756 · Cited by 1,552 · see citing works

Toeplitz Forms and Their Applications.

Savage, L. J., Grenander, U., & Szegő, G. (1958) · Journal of the American Statistical Association · doi:10.2307/2282065 · Cited by 1,061 · see citing works

Distributions in Statistics: Continuous Univariate Distributions

Buckland, W. R., Johnson, N. L., & Kotz, S. (1971) · Revue de l Institut International de Statistique / Review of the International Statistical Institute · doi:10.2307/1402281 · Cited by 1,020 · see citing works

Comparing alternative tests of causality in temporal systems

Geweke, J. F., Meese, R. A., & Dent, W. T. (1983) · Journal of Econometrics · doi:10.1016/0304-4076(83)90012-x · Cited by 638 · see citing works

Stationary Random Processes

Koopmans, L. H., & Rozanov, Y. A. (1968) · Technometrics · doi:10.2307/1267124 · Cited by 499 · see citing works

Economically Rational Expectations: Are Innovations in the Rate of Inflation Independent of Innovations in Measures of Monetary and Fiscal Policy?

Feige, E. L., & Pearce, D. K. (1976) · Journal of Political Economy · doi:10.1086/260456 · Cited by 299 · see citing works

Calculation of the amount of information about a random function contained in another such function

Gel′fand, I. M. A. Y. (1959) · Translations - American Mathematical Society/Translations · doi:10.1090/trans2/012/09 · Cited by 259 · see citing works

Economic processes involving feedback

Granger, C. W. J. (1963) · Information and Control · doi:10.1016/s0019-9958(63)90092-5 · Cited by 256 · see citing works

Modern mathematics for the engineer

Birx, D. L. (1957) · Journal of the Franklin Institute · doi:10.1016/0016-0032(57)90948-1 · Cited by 182 · see citing works

Approximations to the non-central chi-square distribution

Sankaran, M. (1963) · Biometrika · doi:10.1093/biomet/50.1-2.199 · Cited by 112 · see citing works

R 2 Measures for Time Series

Pierce, D. A. (1979) · Journal of the American Statistical Association · doi:10.1080/01621459.1979.10481052 · Cited by 75 · see citing works

A Consistent Characterization of a Near-Century of Price Behavior

Gordon, R. J. (1980) · National Bureau of Economic Research · doi:10.3386/w0455 · Cited by 53 · see citing works

Causality, exogeneity, and inference

Geweke, J. F. (1983) · Cambridge University Press eBooks · doi:10.1017/cbo9781139052160.007 · Cited by 20 · see citing works

Untitled work

(1972) · American Economic Review

Consciousness and Complexity

Tononi, G. (1998) · Science · doi:10.1126/science.282.5395.1846 · Cited by 1,561 · see citing works

Granger causality analysis in neuroscience and neuroimaging

Seth, A. K., Barrett, A. B., & Barnett, L. (2015) · The Journal of Neuroscience · doi:10.1523/jneurosci.4399-14.2015 · Cited by 928 · see citing works

Alpha-Beta and Gamma Rhythms Subserve Feedback and Feedforward Influences among Human Visual Cortical Areas

Michalareas, G., Vezoli, J., van Pelt, S., Schoffelen, J.-M., Kennedy, H., & Fries, P. (2016) · Neuron · doi:10.1016/j.neuron.2015.12.018 · Cited by 696 · see citing works

Neuronal Mechanisms and Attentional Modulation of Corticothalamic Alpha Oscillations

Bollimunta, A., Mo, J., Schroeder, C. E., & Ding, M. (2011) · The Journal of Neuroscience · doi:10.1523/jneurosci.5580-10.2011 · Cited by 441 · see citing works

Neuronal Mechanisms of Cortical Alpha Oscillations in Awake-Behaving Macaques

Bollimunta, A., Chen, Y., Schroeder, C. E., & Ding, M. (2008) · The Journal of Neuroscience · doi:10.1523/jneurosci.2699-08.2008 · Cited by 434 · see citing works

Electrophysiological source imaging: A noninvasive window to brain dynamics

He, B., Sohrabpour, A., Brown, E., & Liu, Z. (2018) · Annual Review of Biomedical Engineering · doi:10.1146/annurev-bioeng-062117-120853 · Cited by 297 · see citing works

Theta oscillations mediate interaction between prefrontal cortex and medial temporal lobe in human memory

Anderson, K. L., Rajagovindan, R., Ghacibeh, G. A., Meador, K. J., & Ding, M. (2010) · Cerebral Cortex · doi:10.1093/cercor/bhp223 · Cited by 222 · see citing works

Practical Measures of Integrated Information for Time-Series Data

Barrett, A. B., & Seth, A. K. (2011) · PLoS Computational Biology · doi:10.1371/journal.pcbi.1001052 · Cited by 225 · see citing works

Inferior frontal gyrus activity triggers anterior insula response to emotional facial expressions.

Jabbi, M., & Keysers, C. (2008) · Emotion · doi:10.1037/a0014194 · Cited by 190 · see citing works

Ictal source analysis: Localization and imaging of causal interactions in humans

Ding, L., Worrell, G. A., Lagerlund, T. D., & He, B. (2007) · NeuroImage · doi:10.1016/j.neuroimage.2006.09.042 · Cited by 183 · see citing works

Reversal of cortical information flow during visual imagery as compared to visual perception

Dentico, D., Cheung, B. L., Chang, J.-Y., Guokas, J., Boly, M., Tononi, G., & Van Veen, B. (2014) · NeuroImage · doi:10.1016/j.neuroimage.2014.05.081 · Cited by 157 · see citing works

Fully Connected Cascade Artificial Neural Network Architecture for Attention Deficit Hyperactivity Disorder Classification From Functional Magnetic Resonance Imaging Data

Deshpande, G., Wang, P., Rangaprakash, D., & Wilamowski, B. (2015) · IEEE Transactions on Cybernetics · doi:10.1109/tcyb.2014.2379621 · Cited by 161 · see citing works

Top-down regulation of default mode activity in spatial visual attention

Wen, X., Liu, Y., Yao, L., & Ding, M. (2013) · The Journal of Neuroscience · doi:10.1523/jneurosci.4939-12.2013 · Cited by 150 · see citing works

Investigation of relationships between fMRI brain networks in the spectral domain using ICA and granger causality reveals distinct differences between schizophrenia patients and healthy controls

Demirci, O., Stevens, M. C., Andreasen, N. C., Michael, A., Liu, J., White, T., Pearlson, G. D., Clark, V. P., & Calhoun, V. D. (2009) · NeuroImage · doi:10.1016/j.neuroimage.2009.02.014 · Cited by 126 · see citing works

Dynamic Granger causality based on Kalman filter for evaluation of functional network connectivity in fMRI data

Havlicek, M., Jan, J., Brazdil, M., & Calhoun, V. D. (2010) · NeuroImage · doi:10.1016/j.neuroimage.2010.05.063 · Cited by 106 · see citing works

Beta- and gamma-band activity reflect predictive coding in the processing of causal events

van Pelt, S., Heil, L., Kwisthout, J., Ondobaka, S., van Rooij, I., & Bekkering, H. (2016) · Social Cognitive and Affective Neuroscience · doi:10.1093/scan/nsw017 · Cited by 98 · see citing works

Sensory-motor brain network connectivity for speech comprehension

Londei, A., D'Ausilio, A., Basso, D., Sestieri, C., Gratta, C. D., Romani, G., & Belardinelli, M. O. (2010) · Human Brain Mapping · doi:10.1002/hbm.20888 · Cited by 90 · see citing works

Untangling Brain-Wide Dynamics in Consciousness by Cross-Embedding

Tajima, S., Yanagawa, T., Fujii, N., & Toyoizumi, T. (2015) · PLOS Computational Biology · doi:10.1371/journal.pcbi.1004537 · Cited by 76 · see citing works

How to detect the Granger-causal flow direction in the presence of additive noise?

Vinck, M., Huurdeman, L., Bosman, C. A., Fries, P., Battaglia, F. P., Pennartz, C. M. A., & Tiesinga, P. H. (2015) · NeuroImage · doi:10.1016/j.neuroimage.2014.12.017 · Cited by 77 · see citing works

Noninvasive Electromagnetic Source Imaging and Granger Causality Analysis: An Electrophysiological Connectome (eConnectome) Approach

Sohrabpour, A., Ye, S., Worrell, G. A., Zhang, W., & He, B. (2016) · IEEE Transactions on Biomedical Engineering · doi:10.1109/tbme.2016.2616474 · Cited by 59 · see citing works

In vivo ephaptic coupling allows memory network formation

Pinotsis, D. A., & Miller, E. K. (2023) · Cerebral Cortex · doi:10.1093/cercor/bhad251 · Cited by 62 · see citing works

Detecting directional influence in fMRI connectivity analysis using PCA based Granger causality

Zhou, Z., Ding, M., Chen, Y., Wright, P., Lu, Z., & Liu, Y. (2009) · Brain Research · doi:10.1016/j.brainres.2009.06.096 · Cited by 54 · see citing works

Influencing connectivity and cross-frequency coupling by real-time source localized neurofeedback of the posterior cingulate cortex reduces tinnitus related distress

Vanneste, S., Joos, K., Ost, J., & De Ridder, D. (2018) · Neurobiology of Stress · doi:10.1016/j.ynstr.2016.11.003 · Cited by 45 · see citing works

A study on fear memory retrieval and REM sleep in maternal separation and isolation stressed rats

Sampath, D., Sabitha, K. R., Hegde, P., Jayakrishnan, H. R., Kutty, B. M., Chattarji, S., Rangarajan, G., & Laxmi, T. R. (2014) · Behavioural Brain Research · doi:10.1016/j.bbr.2014.07.034 · Cited by 40 · see citing works

Stress and Perception of Emotional Stimuli: Long-Term Stress Rewiring the Brain

Khosrowabadi, R., & Institute for Cognitive and Brain Sciences, S. B. U. (2018) · Basic and Clinical Neuroscience Journal · doi:10.29252/nirp.bcn.9.2.107 · Cited by 39 · see citing works

Isoflurane impairs low-frequency feedback but leaves high-frequency feedforward connectivity intact in the fly brain

Cohen, D., van Swinderen, B., & Tsuchiya, N. (2018) · eneuro · doi:10.1523/eneuro.0329-17.2018 · Cited by 23 · see citing works

Multi-indicators prediction in microservice using Granger causality test and Attention LSTM

Ji, S., Wu, W., & Pu, Y. (2020) · 2020 IEEE World Congress on Services (SERVICES) · doi:10.1109/services48979.2020.00030 · Cited by 8 · see citing works

Review: William Shakespeare: Measure for Measure * Kate Chedgzoy: William Shakespeare: Measure for Measure

(2002) · Forum for Modern Language Studies · doi:10.1093/fmls/38.2.234-c

Do Evanescent Modes Violate Relativistic Causality?

Nimtz, G. (2006) · AIP conference proceedings · doi:10.1063/1.2218191 · Cited by 3 · see citing works

Causality in Social Network Analysis

Doreian, P. (2001) · Sociological Methods & Research · doi:10.1177/0049124101030001005 · Cited by 94 · see citing works

Investigation to Jin Yuelin's Theory of Causality and Justification for It

Zhi-zhon, C. (2014) · Journal of Qinghai Normal University

Distinguishing properties of causality conditions

Rácz, I. (1987) · General Relativity and Gravitation · doi:10.1007/bf00759581 · Cited by 8 · see citing works