0410884 20240103182246.320060210235959.9 Hagen Fernuniversitaet Hagen 2002 8 s. 169-176Kern-IsbernerG.RoedderW. Gaussian vectors positively definite matrices determinants cav_un_auth*0101161 Matúš František UTIA-B Department of Decision Making Theory Ústav teorie informace a automatizace AV ČR, v. v. i. 12A IAA1075801 GA AV ČR cav_un_auth*0012795 GA201/01/1482 GA ČR cav_un_auth*0005723 CEZ:AV0Z1075907 Relations between the inference among conditional independences in nondegenerate Gaussian vectors and computational techniques of commutative algebra are studied. A general method for proving implications involving the conditional independences is presented. Examples of the implications are discussed as consequences of the method that amounts to computation of a Groebner basis. cav_un_auth*0212911 Workshop on Conditionals, Information, and Inference Hagen DE 13.05.2002-15.05.2002 BA MTR http://hdl.handle.net/11104/0130971 UTIA-B 20020098 2002 2002 Hagen Fernuniversitaet Hagen Workshop on Conditionals, Information, and Inference 169 176 Kern-Isberner G. 340 Roedder W. 340