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math.PR2009★ 11 cited
Asymptotic exponential bounds for MLE deviation under minimal conditions via classical and generic chaining methods
E. Ostrovsky, E. Rogover
In this paper non-asymptotic exact exponential estimates are derived (under minimal conditions) for the tail of deviation of the MLE distribution in the so-called natural terms: na…
math.PR2008★ 23 cited
Exact exponential bounds for the random field maximum distribution via the majoring measures (generic chaining)
E. Ostrovsky, E. Rogover
In this paper non-asymptotic exact exponential estimates are derived for the tail of maximum distribution of random field in the terms of majoring measures or, equally, generic cha…