3 papers
math.ST2020
On Non Asymptotic Expansion of the MME in the Case of Poisson Observations
O. V. Chernoyarov, A. S. Dabye, F. N. Diop +1
The problem of parameter estimation by observations of inhomogeneous Poisson processes is considered. The method of moments estimator is studied and its stochastic expansion is obt…
math.ST2018
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…
math.ST2018
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…