Limiting behavior of the perturbed empirical distribution functions evaluated at -statistics for strongly mixing sequences of random variables.
Sun, Shan, Chiang, Ching-Yuan (1997)
Journal of Applied Mathematics and Stochastic Analysis
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Sun, Shan, Chiang, Ching-Yuan (1997)
Journal of Applied Mathematics and Stochastic Analysis
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Oliveira, P.E. (2000)
Portugaliae Mathematica
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Stéphane Girard, Pierre Jacob (2004)
ESAIM: Probability and Statistics
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We present a method for estimating the edge of a two-dimensional bounded set, given a finite random set of points drawn from the interior. The estimator is based both on a Parzen-Rosenblatt kernel and extreme values of point processes. We give conditions for various kinds of convergence and asymptotic normality. We propose a method of reducing the negative bias and edge effects, illustrated by some simulations.
Iacus, Stefano Maria, La Torre, Davide (2005)
Journal of Applied Mathematics and Decision Sciences
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Rosalsky, Andrew (1988)
International Journal of Mathematics and Mathematical Sciences
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Georg Neuhaus (1983)
Acta Universitatis Carolinae. Mathematica et Physica
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Takács, Lajos (1996)
Journal of Applied Mathematics and Stochastic Analysis
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Kim, Young-Ho (1999)
Journal of Inequalities and Applications [electronic only]
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Repický, Miroslav (2000)
Commentationes Mathematicae Universitatis Carolinae
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