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Estimation of a discrete probability under constraint of k-monotony
Jade Giguelay · 2016-08-23 · via math.ST updates on arXiv.org

We propose two least-squares estimators of a discrete probability under the constraint of k-monotony and study their statistical properties. We give a characterization of these estimators based on the decomposition on a spline basis of k-monotone sequences. We develop an algorithm derived from the Support Reduction Algorithm and we finally present a simulation study to illustrate their properties.

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