Displaying similar documents to “The Asymptotic Properties of Maximum Likelihood Estimators for Marked Poisson Processes with a Cyclic Intensity Measure.”

Asymptotic evaluation of the Poisson measures for tubes around jump curves

Xavier Bardina, Carles Rovira, Samy Tindel (2002)

Applicationes Mathematicae

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We find the asymptotic behavior of P(||X-ϕ|| ≤ ε) when X is the solution of a linear stochastic differential equation driven by a Poisson process and ϕ the solution of a linear differential equation driven by a pure jump function.

Asymptotic normality in mixture models

Sara Van De Geer (2010)

ESAIM: Probability and Statistics

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We study the estimation of a linear integral functional of a distribution F, using i.i.d. observations which density is a mixture of a family of densities k(.,y) under F. We examine the asymptotic distribution of the estimator obtained by plugging the non parametric maximum likelihood estimator (NPMLE) of F in the functional. A problem here is that usually, the NPMLE does not dominate F.
Our main aim here is to show that this can be overcome by considering a convex combination...