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Statistical Estimation of Poisson Intensity Functions. Probability, Networks and211 Algorithms

机译：poisson强度函数的统计估计。概率，网络和211算法

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摘要

This survey paper is concerned with nonparametric estimation of the global and211u001elocal intensity of a cyclic Poisson point process X. We assume that only a single 211u001erealization of X is observed, though only within a bounded 'window,' and our aim 211u001eis to estimate consistently the global intensity and the intensity function at a 211u001egiven point. A simple nonparametric estimator for the global intensity is 211u001eproposed and studied. We also give a preview of recent work by the present 211u001eauthors, in part joint with R. Zitikis (Winnipeg), on nonparametric estimation of 211u001ethe local intensity at a given point. These results will also be contained in I 211u001eW. Mangku's forthcoming Ph.D. thesis.

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作者
Helmers, R.; Mangku, I. W.;
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年度 1999
页码 1-18
总页数 18
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Intensity functions; Poisson processes; Periodic intensity function; Local211 intensity; Global intensity; Consistency; Asymptotic normality; Bootstrap;

机译：强度函数;泊松过程;周期强度函数;局部211强度;全局强度;一致性;渐近正态性; Bootstrap;

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2. Poisson statistics of PageRank probabilities of Twitter and Wikipedia networks [J] . Klaus M. Frahm, Dima L. Shepelyansky The European physical journal, B. Condensed matter physics . 2014,第4期

机译：Twitter和Wikipedia网络的PageRank概率的泊松统计
3. A Haar-Fisz Algorithm for Poisson Intensity Estimation [J] . Piotr Fryzlewicz, Guy P. Nason Journal of computational and graphical statistics: A joint publication of American Statistical Association, Institute of Mathematical Statistics, Interface Foundation of North America . 2004,第3期

机译：泊松强度估计的Haar-Fisz算法
4. Analysis of blocking probability in WDM all-optical networks with non-Poisson traffic statistics [C] . Gusak, O., Karasan, Transparent Optical Networks, 1999. International Conference on . 1999

机译：使用非泊松流量统计的WDM全光网络中的阻塞概率分析
5. Nonparametric estimation of the generating function of the intensity function process of a doubly stochastic Poisson process. [D] . Chou, Kuang-Hua Daphne. 2002

机译：双随机泊松过程的强度函数过程的生成函数的非参数估计。
6. Robust Multi-Frame Adaptive Optics Image Restoration Algorithm Using Maximum Likelihood Estimation with Poisson Statistics [O] . Dongming Li, Changming Sun, Jinhua Yang, 2017

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7. Poisson statistics of PageRank probabilities of Twitter and Wikipedia networks [O] . Frahm, K. M., Shepelyansky, D. L. 2014

机译：Twitter和维基百科的pageRank概率的泊松统计网络
8. Nearest Neighbor Estimation of the Intensity Function of a Cyclic Poisson211 Process. Probability, Networks and Algorithms [R] . Mangku, I. W. 1999

机译：循环泊松211过程强度函数的最近邻估计。概率，网络和算法

Statistical Estimation of Poisson Intensity Functions. Probability, Networks and211 Algorithms

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