Non-parametric kernel regression for multinomial data

Non-parametric kernel regression for multinomial data
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多项数据的非参数核回归

DOI:
10.1016/j.jmva.2005.12.008
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发表时间:
2006
影响因子:
1.6
通讯作者:
K. Naito
K. Naito
中科院分区:
数学2区
文献类型:
--
作者:
Hidenori Okumura;K. Naito

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本文提出了一种多项式回归的核平滑方法。通过最小化局部幂发散度量构造了一类回归函数的估计量。这些估计器包括带宽和一个单一的参数,起源于功率发散措施作为平滑参数。建立了估计量的渐近理论,得到了有偏调整估计量。提出了一种基于数据的平滑参数选择算法。仿真结果表明,该算法的有效性。
This paper presents a kernel smoothing method for multinomial regression. A class of estimators of the regression functions is constructed by minimizing a localized power-divergence measure. These estimators include the bandwidth and a single parameter originating in the power-divergence measure as smoothing parameters. An asymptotic theory for the estimators is developed and the bias-adjusted estimators are obtained. A data-based algorithm for selecting the smoothing parameters is also proposed. Simulation results reveal that the proposed algorithm works efficiently.
DOI: --
发表时间: 2006
期刊: Journal of Nonparametric Statistics 18
影响因子: --
作者:
Tadayoshi Fushiki;Shingo Horiuchi;Takashi Tsuchiya;Tadayoshi Fushiki;Inge Koch;Hidenori Okumura
通讯作者: Hidenori Okumura