most citedEstimation of the Location of a 0-type or -type Singularity by Poisson Observations

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math.ST2009

On the Goodness-of-Fit Tests for Some Continuous Time Processes

Serguei Dachian, Yury A. Kutoyants

We present a review of several results concerning the construction of the Cramer-von Mises and Kolmogorov-Smirnov type goodness-of-fit tests for continuous time processes. As the m…

math.ST2009

Hypotheses Testing: Poisson Versus Self-exciting

Serguei Dachian, Yury A. Kutoyants

We consider the problem of hypotheses testing with the basic simple hypothesis: observed sequence of points corresponds to stationary Poisson process with known intensity. The alte…

math.ST2006★ 1 cited

Estimation of the Location of a 0-type or -type Singularity by Poisson Observations

Serguei Dachian

We consider an inhomogeneous Poisson process on . The intensity function of is supposed to be strictly positive and smooth on except at the point , in whi…

math.ST2006

Hypotheses Testing: Poisson Versus Self-correcting

Serguei Dachian, Yury A. Kutoyants

We consider the problem of hypotheses testing with the basic simple hypothesis: observed sequence of points corresponds to stationary Poisson process with known intensity against a…