14 citations · 40 across the 26 of their papers we have counts for
5 papers · 2 filters
On APF Test for Poisson Process with Shift and Scale Parameters
A. S. Dabye, Yu. A. Kutoyants, E. D. Tanguep
We propose the goodness of fit test for inhomogeneous Poisson processes with unknown scale and shift parameters. A test statistic of Cramer-von Mises type is proposed and its asymp…
On Cusp Location Estimation for Perturbed Dynamical Systems
Yury A. Kutoyants
We consider the problem of parameter estimation in the case of observation of the trajectory of diffusion process. We suppose that the drift coefficient has a singularity of cusp-t…
Poisson Source Localization on the Plane. Smooth Case
Oleg V. Chernoyarov, Yury A. Kutoyants
We consider the problem of localization of Poisson source by the observations of inhomogeneous Poisson processes. We suppose that there are detectors on the plane and each dete…
Poisson Source Localization on the Plane. Change-Point Case
Christian Farinetto, Yury A. Kutoyants, Alioune Top
We present a detection problem where several spatially distributed sensors observe Poisson signals emitted from a single source of unknown position. The measurements at each sensor…
Method of Moments Estimators and Multu-step MLE for Poisson Processes
Ali S. Dabye, Alix A. Gounoung, Yury A. Kutoyants
We introduce two types of estimators of the finite-dimensional parameters in the case of observations of inhomogeneous Poisson processes. These are the estimators of the method of…