FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W29041363> ?p ?o ?g. }

• W29041363 abstract "When we consider graphical models for the multivariate complex normal distribution, we formulate the models in terms of simple undirected graphs, which illustrate conditional independence of complex random vectors. Therefore this chapter concentrates on conditional independence of complex random vectors. Conditional independence is studied formally by Dawid (1979), but has also been explored by others see e.g. Pearl (1988). We have chosen only to consider complex random vectors with continuous density function w.r.t. Lebesgue measure, since we only consider such complex random vectors in this book. Besides an acquaintance with Lebesgue measure no further measure theory is used. We define the conditional density function and the conditional distribution for complex random vectors. Then the conditional distribution of a measurable transformation of a complex random vector is defined. Using these definitions we are able to state the law of total probability and further to define conditional independence of two measurable transformations of a complex random vector given a third complex random vector. We establish some properties, which are equivalent to the definition of conditional independence, and we find properties which can be used to deduce conditional independences from others. Furthermore we study conditional independence in the special case, where a complex random vector is partitioned and we give useful theorems in this case. Next conditional independence in relation to simple undirected graphs is studied. Three different ways are used to specify conditional independence by means of a graph. This means that the distributions fulfilling these different conditional independence criteria may have different properties. These are the so called Markov properties." @default.
• W29041363 created "2016-06-24" @default.
• W29041363 creator A5003020639 @default.
• W29041363 creator A5004990283 @default.
• W29041363 creator A5071164978 @default.
• W29041363 creator A5084236669 @default.
• W29041363 date "1995-01-01" @default.
• W29041363 modified "2023-09-24" @default.
• W29041363 title "Conditional Independence and Markov Properties" @default.
• W29041363 cites W111380827 @default.
• W29041363 cites W138000113 @default.
• W29041363 cites W1524326598 @default.
• W29041363 cites W1562979145 @default.
• W29041363 cites W1575431606 @default.
• W29041363 cites W1578388432 @default.
• W29041363 cites W1593793857 @default.
• W29041363 cites W1965680834 @default.
• W29041363 cites W1985234177 @default.
• W29041363 cites W1989926363 @default.
• W29041363 cites W1991133427 @default.
• W29041363 cites W2007362276 @default.
• W29041363 cites W2008906462 @default.
• W29041363 cites W2014208555 @default.
• W29041363 cites W2019963883 @default.
• W29041363 cites W2023933519 @default.
• W29041363 cites W2029668118 @default.
• W29041363 cites W2040518328 @default.
• W29041363 cites W2054964847 @default.
• W29041363 cites W2061782500 @default.
• W29041363 cites W2064343909 @default.
• W29041363 cites W2083402998 @default.
• W29041363 cites W2093583731 @default.
• W29041363 cites W2118348286 @default.
• W29041363 cites W2142635246 @default.
• W29041363 cites W2143075689 @default.
• W29041363 cites W2147565737 @default.
• W29041363 cites W2149337551 @default.
• W29041363 cites W2168175751 @default.
• W29041363 cites W2170112109 @default.
• W29041363 cites W3015736691 @default.
• W29041363 doi "https://doi.org/10.1007/978-1-4612-4240-6_6" @default.
• W29041363 hasPublicationYear "1995" @default.
• W29041363 type Work @default.
• W29041363 sameAs 29041363 @default.
• W29041363 citedByCount "0" @default.
• W29041363 crossrefType "book-chapter" @default.
• W29041363 hasAuthorship W29041363A5003020639 @default.
• W29041363 hasAuthorship W29041363A5004990283 @default.
• W29041363 hasAuthorship W29041363A5071164978 @default.
• W29041363 hasAuthorship W29041363A5084236669 @default.
• W29041363 hasConcept C103982235 @default.
• W29041363 hasConcept C105795698 @default.
• W29041363 hasConcept C118615104 @default.
• W29041363 hasConcept C122123141 @default.
• W29041363 hasConcept C124101348 @default.
• W29041363 hasConcept C138405894 @default.
• W29041363 hasConcept C14158598 @default.
• W29041363 hasConcept C149782125 @default.
• W29041363 hasConcept C186215838 @default.
• W29041363 hasConcept C197096303 @default.
• W29041363 hasConcept C21430997 @default.
• W29041363 hasConcept C23922673 @default.
• W29041363 hasConcept C2780009758 @default.
• W29041363 hasConcept C33923547 @default.
• W29041363 hasConcept C35651441 @default.
• W29041363 hasConcept C41008148 @default.
• W29041363 hasConcept C43555835 @default.
• W29041363 hasConcept C44492722 @default.
• W29041363 hasConcept C79772020 @default.
• W29041363 hasConcept C91602232 @default.
• W29041363 hasConcept C98763669 @default.
• W29041363 hasConceptScore W29041363C103982235 @default.
• W29041363 hasConceptScore W29041363C105795698 @default.
• W29041363 hasConceptScore W29041363C118615104 @default.
• W29041363 hasConceptScore W29041363C122123141 @default.
• W29041363 hasConceptScore W29041363C124101348 @default.
• W29041363 hasConceptScore W29041363C138405894 @default.
• W29041363 hasConceptScore W29041363C14158598 @default.
• W29041363 hasConceptScore W29041363C149782125 @default.
• W29041363 hasConceptScore W29041363C186215838 @default.
• W29041363 hasConceptScore W29041363C197096303 @default.
• W29041363 hasConceptScore W29041363C21430997 @default.
• W29041363 hasConceptScore W29041363C23922673 @default.
• W29041363 hasConceptScore W29041363C2780009758 @default.
• W29041363 hasConceptScore W29041363C33923547 @default.
• W29041363 hasConceptScore W29041363C35651441 @default.
• W29041363 hasConceptScore W29041363C41008148 @default.
• W29041363 hasConceptScore W29041363C43555835 @default.
• W29041363 hasConceptScore W29041363C44492722 @default.
• W29041363 hasConceptScore W29041363C79772020 @default.
• W29041363 hasConceptScore W29041363C91602232 @default.
• W29041363 hasConceptScore W29041363C98763669 @default.
• W29041363 hasLocation W290413631 @default.
• W29041363 hasOpenAccess W29041363 @default.
• W29041363 hasPrimaryLocation W290413631 @default.
• W29041363 hasRelatedWork W124610309 @default.
• W29041363 hasRelatedWork W1492233726 @default.
• W29041363 hasRelatedWork W1543310696 @default.
• W29041363 hasRelatedWork W1543942843 @default.
• W29041363 hasRelatedWork W1596352845 @default.

• next