Advances and Applications in Statistics
Volume 54, Issue 2, Pages 315 - 326
(February 2019) http://dx.doi.org/10.17654/AS054020315 |
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FAST CORRECTION ALGORITHMS FOR WEIGHTED EMPIRICAL DISTRIBUTION FUNCTIONS
Oksana Kubaychuk
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Abstract: The weighted empirical distribution functions are used as estimators for distributions of components in a mixture with varying concentrations. But the weight coefficients can be negative, therefore the weighted empirical distribution functions cannot be the probability distribution functions. We consider some methods that partially improve weighted empirical distribution functions. Algorithms are proposed that are classified as fast algorithms. |
Keywords and phrases: mixture with varying concentrations; weighted empirical distribution function, algorithm of partially improving, estimator for functional moment, complexity of algorithm.
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