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We prove a central limit theorem for the components of the largest eigenvector of the adjacency matrix of a one-dimensional random dot product graph whose true latent positions are unknown. In particu...
The maximum a posteriori (MAP) con guration of binary variable models with submodular graph-structured energy functions can be found eciently and exactly by graph cuts. Max-product belief propaga...
Nonparametric estimation of the gap time distribution in a simple re- newal process may be considered a problem in survival analysis under particular sampling frames corresponding to how the renewal...
Let R be a positive random variable independent of S which is beta distributed. In this paper we are interested on the relation between the distribution function of R and that of RS. For this model w...
This paper defines a class of univariate product partition models for which a novel deterministic search algorithm is guaranteed to find the maximum aposteriori (MAP)clustering or the maximum likeli...
Dichotomies for certain product measures and stable processes。
Necessary and sullicient conditions are given for the absolute continuity of a causally perturbed product measure with respect to the non-perturbed measure. When the perturbation ia linear, these c...
A Note on the Product of Normal and Laplace Random Variables。
Let P be any product (Borel) probability measure on product (Polish) space E and for vectors x,y,z in E let f(x,y,z) be the number of coordinates k for which x_k neither equals y_k nor z_k. Using a tr...
The central limit theorem for the product of sums of various random variables has been studied in a variety of settings. The purpose of this note is to show that this kind of result is a corollary of ...
We consider a continuous time Markov process (X,L), where X jumps between a finite number of states and L is a piecewise linear process with state space Rd. The process L represents an “inert drift” o...
The maximum product of spacings (MPS) is employed in the estimation of the Generalized Extreme Value Distribution (GEV) and the Generalized Pareto Distribution (GPD). Efficient estimators are obtain...

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