Browsing by Author "Sadeghi, Kayvan"
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Marginalization and conditioning for LWF chain graphs
Sadeghi, Kayvan (Institute of Mathematical StatisticsAnnals of Statistics, 201608)In this paper, we deal with the problem of marginalization over and conditioning on two disjoint subsets of the node set of chain graphs (CGs) with the LWF Markov property. For this purpose, we define the class of chain ...

On the number of nonzero elements of joint degree vectors
Czabarka, É; Sadeghi, Kayvan; Rauh, J; Short, T; Székely, L (Electronic Journal of CombinatoricsThe Electronic Journal of Combinatorics, 20170331)Joint degree vectors give the number of edges between vertices of degree i and degree j for 1 ≤ i ≤ j ≤ n1 in an nvertex graph. We find lower and upper bounds for the maximum number of nonzero elements in a joint degree ...

Pairwise Markov properties for regression graphs
Sadeghi, Kayvan; Wermuth, N (WileyStat, 20161113)With a sequence of regressions, one may generate joint probability distributions. One starts with a joint, marginal distribution of context variables having possibly a concentration graph structure and continues with an ...

Total Positivity in Markov Structures
Fallat, S; Lauritzen, S; Sadeghi, Kayvan; Uhler, C; Wermuth, N; Zwiernik, K (Institute of Mathematical StatisticsAnnals of Statistics, 201706)We discuss properties of distributions that are multivariate totally positive of order two (MTP$_{2}$) related to conditional independence. In particular, we show that any independence model generated by an MTP$_{2}$ ...