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4 papers · 2 filters
Bayesian sequential change diagnosis
Savas Dayanik, Christian Goulding, H. Vincent Poor
Sequential change diagnosis is the joint problem of detection and identification of a sudden and unobservable change in the distribution of a random sequence. In this problem, the…
Regression estimation from an individual stable sequence
Gusztav Morvai, Sanjeev R. Kulkarni, Andrew B. Nobel
We consider univariate regression estimation from an individual (non-random) sequence , which is stable in the sense that for each…
The two possible values of the chromatic number of a random graph
Dimitris Achlioptas, Assaf Naor
Given d \in (0,infty) let k_d be the smallest integer k such that d < 2k\log k. We prove that the chromatic number of a random graph G(n,d/n) is either k_d or k_d+1 almost surely.
A Berry-Esseen type inequality for convex bodies with an unconditional basis
Bo'az Klartag
We provide a sharp rate of convergence in the central limit theorem for random vectors with an unconditional, log-concave density. The argument relies on analysis of the Neumann la…