Derrida's generalised random energy models 1 : models with finitely many hierarchies
Derrida's generalized random energy models 2 : models with continuous hierarchies
Detecting Changes in a Multivariate Renewal Process.
Detection of transient change in mean – a linear behavior inside epidemic interval
A procedure for testing occurrance of a transient change in mean of a sequence is suggested where inside an epidemic interval the mean is a linear function of time points. Asymptotic behavior of considered trimmed maximum-type test statistics is presented. Approximate critical values are obtained using an approximation of exceedance probabilities over a high level by Gaussian fields with a locally stationary structure.