On unisolvent systems
Howard B. Lambert (1971)
Czechoslovak Mathematical Journal
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Howard B. Lambert (1971)
Czechoslovak Mathematical Journal
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Sun, Yidong, Zhuang, Jujuan (2010)
The Electronic Journal of Combinatorics [electronic only]
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Burgić, Dž., Kalabušić, S., Kulenović, M.R.S. (2009)
Fixed Point Theory and Applications [electronic only]
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Sergey Tarima, Dmitri Pavlov (2006)
ESAIM: Probability and Statistics
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In many practical situations sample sizes are not sufficiently large and estimators based on such samples may not be satisfactory in terms of their variances. At the same time it is not unusual that some auxiliary information about the parameters of interest is available. This paper considers a method of using auxiliary information for improving properties of the estimators based on a current sample only. In particular, it is assumed that the information is available as a number of estimates...
Pierre Del Moral, Arnaud Doucet, Sumeetpal S. Singh (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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We design a particle interpretation of Feynman-Kac measures on path spaces based on a backward Markovian representation combined with a traditional mean field particle interpretation of the flow of their final time marginals. In contrast to traditional genealogical tree based models, these new particle algorithms can be used to compute normalized additive functionals “on-the-fly” as well as their limiting occupation measures with a given precision degree that does not depend on the...
Zhidkov, Peter (2004)
International Journal of Mathematics and Mathematical Sciences
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Elharfaoui, Echarif, Harel, Michel (2008)
Journal of Applied Mathematics and Stochastic Analysis
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Friedrich Götze, Alexander Tikhomirov, Dmitry Timushev (2007)
Open Mathematics
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It is shown that the Kolmogorov distance between the expected spectral distribution function of an n × n matrix from the Deformed Gaussian Ensemble and the distribution function of the semi-circle law is of order O(n −2/3+v ).