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On the Existence of the MLE for a Directed Random Graph Network Model with Reciprocation
Algebraic statistics Dyadic independence Exponential random graph model
2010/10/14
Holland and Leinhardt (1981) proposed a directed random graph model, the p1 model, to describe dyadic interactions in a social network. In previous work (Petrovic et al., 2010), we studied the algebra...
Uniqueness of the mixing measure for a random walk in a random environment on the positive integers
random walk random environment
2009/4/22
Consider a random walk in an irreducible random environment on the positive integers. We prove that the annealed law of the random walk determines uniquely the law of the random environment. An applic...
The zero-one law for planar random walks in i.i.d. random environments revisited
zero-one law random walk ergodic property
2009/3/30
In this note we present a simplified proof of the zero-one law by Merkl and Zerner (2001) for directional transience of random walks in i.i.d. random environments (RWRE) on the square lattice. Also, w...
Central Limit Theorem For The Excited Random Walk In Dimension d≥2
central limit theorem random walk law
2009/3/30
We prove that a law of large numbers and a central limit theorem hold for the excited random walk model in every dimension d≥2