General expressions for the distribution functions of the absolute maximum of differentiable
and nondifferentiable non-stationary Gaussian process are presented. It is then established …

The purpose of this research is to find the asymptotically exact expressions for the
distribution function and for the probability that the absolute maximum of the sum of …

In terms of the new approximation of the decision statistics, technically unsophisticated
approach is suggested to the determination of the abrupt change of the statistical …

We introduce the technically simple approach to the determination of the abrupt change of
the unknown dispersion of the high-frequency fast-fluctuating Gaussian random process …

A new method is introduced in order to determine the limiting characteristics of the
homogeneous Gaussian random field with the non-differentiable correlation function at zero …

The problem of detecting the heterogeneous image of a spatially extended object observed
against Gaussian white noise is considered. It is assumed that the image location and …

In this study work we introduce a technically simple way of the detection of an abrupt change
in parameters of fast fluctuating Gaussian processes in the conditions of parametric prior …

Аннотация Предложен технически простой способ определения скачкообразного
изменения среднего значения полосового гауссовского процесса с неизвестной …

Предложен максимально правдоподобный алгоритм обнаружения скачкообразного
изменения неизвестных математического ожидания и дисперсии …

The purpose of this research is to find the asymptotically exact expressions for the
distribution function and for the probability that the absolute maximum of the sum of …