Partial inversion for linear systems and partial closure of independence graphs

[1]  Giovanni M. Marchetti,et al.  Independencies Induced from a Graphical Markov Model After Marginalization and Conditioning: The R Package ggm , 2006 .

[2]  Nanny Wermuth,et al.  Graphical Chain Models , 2005 .

[3]  N. Wermuth,et al.  Joint response graphs and separation induced by triangular systems , 2004 .

[4]  Anja Vogler,et al.  An Introduction to Multivariate Statistical Analysis , 2004 .

[5]  T. Richardson Markov Properties for Acyclic Directed Mixed Graphs , 2003 .

[6]  Gene H. Golub,et al.  Symmetric-Triangular Decomposition and its Applications Part I: Theorems and Algorithms , 2002 .

[7]  Graham J. Wills,et al.  Introduction to graphical modelling , 1995 .

[8]  G. Golub,et al.  SYMMETRIC-TRIANGULAR DECOMPOSITION AND ITS APPLICATIONS , 2002 .

[9]  Frank Swetz,et al.  The Nine Chapters on the Mathematical Art Companion and Commentary , 2001 .

[10]  D. Madigan,et al.  Alternative Markov Properties for Chain Graphs , 2001 .

[11]  Nanny Wermuth,et al.  On association models defined over independence graphs , 1998 .

[12]  M. Studený,et al.  On chain graph models for description of conditional independence structures , 1998 .

[13]  Michael I. Jordan Graphical Models , 1998 .

[14]  Nanny Wermuth,et al.  Multivariate Dependencies: Models, Analysis and Interpretation , 1996 .

[15]  G. Kauermann On a dualization of graphical Gaussian models , 1996 .

[16]  B. Peyton,et al.  Partitioning a Chordal Graph into Transitive Subgraphs for Parallel Sparse Triangular Solution , 1993 .

[17]  N. Wermuth,et al.  Linear Dependencies Represented by Chain Graphs , 1993 .

[18]  Hanns-Georg Leimer,et al.  Optimal decomposition by clique separators , 1993, Discret. Math..

[19]  Nanny Wermuth,et al.  An approximation to maximum likelihood estimates in reduced models , 1990 .

[20]  M. Frydenberg The chain graph Markov property , 1990 .

[21]  J. Q. Smith Influence Diagrams for Statistical Modelling , 1989 .

[22]  N. Wermuth,et al.  Graphical Models for Associations between Variables, some of which are Qualitative and some Quantitative , 1989 .

[23]  Judea Pearl,et al.  Probabilistic reasoning in intelligent systems , 1988 .

[24]  A. Dawid Conditional Independence in Statistical Theory , 1979 .

[25]  T. W. Anderson Asymptotically Efficient Estimation of Covariance Matrices with Linear Structure , 1973 .

[26]  Douglas M. Hawkins,et al.  Elements of Continuous Multivariate Analysis , 1969 .

[27]  A. Beaton THE USE OF SPECIAL MATRIX OPERATORS IN STATISTICAL CALCULUS , 1964 .

[28]  G. Dirac On rigid circuit graphs , 1961 .

[29]  T. W. Anderson,et al.  An Introduction to Multivariate Statistical Analysis , 1959 .

[30]  H. Wold Causality and Econometrics , 1954 .

[31]  H. D. Huskey,et al.  NOTES ON THE SOLUTION OF ALGEBRAIC LINEAR SIMULTANEOUS EQUATIONS , 1948 .

[32]  A. Turing ROUNDING-OFF ERRORS IN MATRIX PROCESSES , 1948 .

[33]  W. G. Cochran The Omission or Addition of an Independent Variate in Multiple Linear Regression , 1938 .

[34]  S. Wright The Method of Path Coefficients , 1934 .

[35]  S. Wright,et al.  The Theory of Path Coefficients a Reply to Niles's Criticism. , 1923, Genetics.

[36]  E. Schmidt Zur Theorie der linearen und nichtlinearen Integralgleichungen , 1907 .

[37]  C. Neumann Vorlesungen uber Riemann's Theorie der Abel'schen Integrale , 1884 .

[38]  J. Gram Ueber die Entwickelung reeller Functionen in Reihen mittelst der Methode der kleinsten Quadrate. , 1883 .