### The structure of maximum subsets of $\{1,\cdots ,n\}$ with no solutions to $a+b=kc$.

Baltz, Andreas, Hegarty, Peter, Knape, Jonas, Larsson, Urban, Schoen, Tomasz (2005)

The Electronic Journal of Combinatorics [electronic only]

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Baltz, Andreas, Hegarty, Peter, Knape, Jonas, Larsson, Urban, Schoen, Tomasz (2005)

The Electronic Journal of Combinatorics [electronic only]

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This paper is devoted to the study of some asymptotic properties of a $M$-estimator in a framework of detection of abrupt changes in random field’s distribution. This class of problems includes e.g. recovery of sets. It involves various techniques, including $M$-estimation method, concentration inequalities, maximal inequalities for dependent random variables and $\phi $-mixing. Penalization of the criterion function when the size of the true model is unknown is performed. All the results apply...

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