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math.ST2025
On statistical and causal models associated with acyclic directed mixed graphs
Qingyuan Zhao
Causal models in statistics are often described using acyclic directed mixed graphs (ADMGs), which contain directed and bidirected edges and no directed cycles. This article survey…
math.ST2024
A matrix algebra for graphical statistical models
Qingyuan Zhao
Directed mixed graphs permit directed and bidirected edges between any two vertices. They were first considered in the path analysis developed by Sewall Wright and play an essentia…