@misc{spirtes1995,
	title = {Directed {Cyclic} {Graphical} {Representations} of {Feedback} {Models}},
	url = {http://arxiv.org/abs/1302.4982},
	doi = {10.48550/arXiv.1302.4982},
	abstract = {The use of directed acyclic graphs (DAGs) to represent conditional independence relations among random variables has proved fruitful in a variety of ways. Recursive structural equation models are one kind of DAG model. However, non-recursive structural equation models of the kinds used to model economic processes are naturally represented by directed cyclic graphs with independent errors, a characterization of conditional independence errors, a characterization of conditional independence constraints is obtained, and it is shown that the result generalizes in a natural way to systems in which the error variables or noises are statistically dependent. For non-linear systems with independent errors a sufficient condition for conditional independence of variables in associated distributions is obtained.},
	urldate = {2024-09-10},
	publisher = {arXiv},
	author = {Spirtes, Peter L.},
	year = {1995},
	note = {arXiv:1302.4982 [cs]},
	keywords = {Computer Science - Artificial Intelligence},
	annote = {Comment: Appears in Proceedings of the Eleventh Conference on Uncertainty in Artificial Intelligence (UAI1995)},
	file = {arXiv Fulltext PDF:/Users/lcneuro/Zotero/storage/DI7SJZCR/Spirtes - 2013 - Directed Cyclic Graphical Representations of Feedb.pdf:application/pdf},
}

{"_id":"fJsnkGsEaqywe9tAi","bibbaseid":"spirtes-directedcyclicgraphicalrepresentationsoffeedbackmodels-1995","downloads":0,"creationDate":"2016-04-01T15:18:15.098Z","title":"Directed Cyclic Graphical Representations of Feedback Models","author_short":["Spirtes, P. L."],"year":1995,"bibtype":"misc","biburl":"https://bibbase.org/f/8yBxW5neHauDryu9w/LCNeuro Site.bib","bibdata":{"bibtype":"misc","type":"misc","title":"Directed Cyclic Graphical Representations of Feedback Models","url":"http://arxiv.org/abs/1302.4982","doi":"10.48550/arXiv.1302.4982","abstract":"The use of directed acyclic graphs (DAGs) to represent conditional independence relations among random variables has proved fruitful in a variety of ways. Recursive structural equation models are one kind of DAG model. However, non-recursive structural equation models of the kinds used to model economic processes are naturally represented by directed cyclic graphs with independent errors, a characterization of conditional independence errors, a characterization of conditional independence constraints is obtained, and it is shown that the result generalizes in a natural way to systems in which the error variables or noises are statistically dependent. For non-linear systems with independent errors a sufficient condition for conditional independence of variables in associated distributions is obtained.","urldate":"2024-09-10","publisher":"arXiv","author":[{"propositions":[],"lastnames":["Spirtes"],"firstnames":["Peter","L."],"suffixes":[]}],"year":"1995","note":"arXiv:1302.4982 [cs]","keywords":"Computer Science - Artificial Intelligence","annote":"Comment: Appears in Proceedings of the Eleventh Conference on Uncertainty in Artificial Intelligence (UAI1995)","file":"arXiv Fulltext PDF:/Users/lcneuro/Zotero/storage/DI7SJZCR/Spirtes - 2013 - Directed Cyclic Graphical Representations of Feedb.pdf:application/pdf","bibtex":"@misc{spirtes1995,\n\ttitle = {Directed {Cyclic} {Graphical} {Representations} of {Feedback} {Models}},\n\turl = {http://arxiv.org/abs/1302.4982},\n\tdoi = {10.48550/arXiv.1302.4982},\n\tabstract = {The use of directed acyclic graphs (DAGs) to represent conditional independence relations among random variables has proved fruitful in a variety of ways. Recursive structural equation models are one kind of DAG model. However, non-recursive structural equation models of the kinds used to model economic processes are naturally represented by directed cyclic graphs with independent errors, a characterization of conditional independence errors, a characterization of conditional independence constraints is obtained, and it is shown that the result generalizes in a natural way to systems in which the error variables or noises are statistically dependent. For non-linear systems with independent errors a sufficient condition for conditional independence of variables in associated distributions is obtained.},\n\turldate = {2024-09-10},\n\tpublisher = {arXiv},\n\tauthor = {Spirtes, Peter L.},\n\tyear = {1995},\n\tnote = {arXiv:1302.4982 [cs]},\n\tkeywords = {Computer Science - Artificial Intelligence},\n\tannote = {Comment: Appears in Proceedings of the Eleventh Conference on Uncertainty in Artificial Intelligence (UAI1995)},\n\tfile = {arXiv Fulltext PDF:/Users/lcneuro/Zotero/storage/DI7SJZCR/Spirtes - 2013 - Directed Cyclic Graphical Representations of Feedb.pdf:application/pdf},\n}\n\n","author_short":["Spirtes, P. L."],"bibbaseid":"spirtes-directedcyclicgraphicalrepresentationsoffeedbackmodels-1995","role":"author","urls":{"Paper":"http://arxiv.org/abs/1302.4982"},"keyword":["Computer Science - Artificial Intelligence"],"metadata":{"authorlinks":{}},"downloads":0},"search_terms":["directed","cyclic","graphical","representations","feedback","models","spirtes"],"keywords":["computer science - artificial intelligence"],"authorIDs":[],"dataSources":["oNrBeGT6thYcPjN7H","ZHHpjMFTPYP8NqJif"]}