Estimating the Derivative of a Convex Density

机译：估计凸密度的导数

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The authors estimate the distribution of the resting time for migrating birds.The problem is seen as estimation of the derivative of a convex and decreasing density. The authors show results on the shape of the nonparametric maximum likelihood estimator (NPMLE) of a convex and decreasing density, and on the shape of a modified NPMLE. The authors give the optimal rate for the minimax risk when estimating the derivative, at a point, of a convex density; upper and lower bounds for the minimax risk are given in which the same rate, n(sup 2/5), applies. The lower bound is shown with the help of a Bayesian Cramer-Rao bound, and denseness arguments. The upper bound is shown with a kernel estimator technique.

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作者
Anevski, D.;
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年度 1994
页码 p.1-26
总页数 26
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Convex; Nonparametric; Migration; Minimax; Denseness; Optimal rate; Birds;

机译：凸;非参数;迁移;极小极大;密度;最优率;鸟类;

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专利

1. Estimating the Derivative of a Convex Density [J] . Dragi Anevski Statistica neerlandica . 2003,第2期

机译：估计凸密度的导数
2. Holder and L-p Estimates for the partial derivative-equation in a class of convex domains of infinite type in C-n [J] . Ly Kim Ha Monatshefte fur Mathematik . 2019,第3期

机译：C-N中无限类型的一类凸形域中的局部导数方程的持有者和L-P估计
3. Essential Norm Estimates for the (partial derivative)over-bar-Neumann Operator on Convex Domains and Worm Domains [J] . Cuckovic Zeljko, Sahutoglu Sonmez Indiana University Mathematics Journal . 2018,第1期

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4. A choice of weights for convex combination methods in estimating partial derivatives [C] . Ooi, Y., Chang, . 2004

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5. Twist-bulge derivatives and deformations of convex real projective structures on surfaces. [D] . Long, Terence. 2015

机译：曲面上凸实投影结构的扭曲凸起导数和变形。
6. Malaria Parasite Density Estimated with White Blood Cells Count Reference Value Agrees with Density Estimated with Absolute in Children Less Than 5 Years in Central Ghana [O] . Dennis Adu-Gyasi, Kwaku Poku Asante, Sam Newton, 2015

机译：加纳中部5岁以下儿童的白细胞计数参考值估计的疟疾寄生虫密度与绝对估计的密度一致
7. SHARP NORM ESTIMATE OF SCHWARZIAN DERIVATIVE FOR A CLASS OF CONVEX FUNCTIONS [O] . Stanis Lawa, Kanas, Toshiyuki Sugawa 2016

机译：一类凸函数的schwarzian导数的sHaRp范数估计
8. Derivatives and Codifferentials of Maps with Closed Convex Graphs and Convex Operators [R] . Aubin, J. P. 1979

机译：具有闭凸凸图和凸算子的映射的导数和Codifferentials

Estimating the Derivative of a Convex Density

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