On Exchangeability in Network Models
Special Volume in honor of memory of S.E.Fienberg
Lauritzen, Steffen
Creator
Faculty
k.sadeghi@ucl.ac.uk
Rinaldo, Alessandro
Creator
Sadeghi, Kayvan
Creator
MATH / Applied Mathematics
Illinois Institute of Technology
Affiliated department
de Finetti’s theorem
graphons
M ?obius simplex
finite exchangeability
positive semidefinite functions
2019
2019-04-12
We derive representation theorems for exchangeable distributions on finite and infinite graphs using elementary arguments based on geometric and graph-theoretic concepts. Our results elucidate some of the key differences, and their implications, between statistical network models that are finitely exchangeable and models that define a consistent sequence of probability distributions on graphs of increasing size.
Article
born digital
application/pdf
en
https://doi.org/10.18409/jas.v10i1.73
10
Open Access
Journal of Algebraic Statistics
eng
http://hdl.handle.net/10560/islandora:1007794