Estimation of Multiple Poisson Means: A Compromise Between Maximum Likelihood and Empirical Bayes Estimators.
M. Ghosh, F. Zamudio (1987)
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M. Ghosh, F. Zamudio (1987)
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E. Siebert (1983)
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Zbigniew Szkutnik (1996)
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S.H. Shapiro (1980)
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Zbigniew Szkutnik (1996)
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S Loukas (1991)
Applicationes Mathematicae
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Waltraud Kahle (1996)
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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.
Zbyněk Pawlas (2011)
Acta Universitatis Carolinae. Mathematica et Physica
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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...