matern.specdens(spectralGP)
matern.specdens()所属R语言包：spectralGP
Matern correlation spectral density function
Matern相关谱密度函数
译者：生物统计家园网 机器人LoveR
描述----------Description----------
Calculates the Matern spectral density for supplied frequencies and Matern correlation parameters. Spectral density is evaluated for each supplied frequency or pair of frequencies. The output is generally used as the prior variances for spectral GP basis coefficients.
谱密度计算的Matern的供给的频率和Matern相关参数。频谱密度的评价每个提供的频率或频率对。输出被普遍用作现有方差用于频谱GP基础系数。
用法----------Usage----------
matern.specdens(omega, param, d = 2)
参数----------Arguments----------
参数：omega
Vector or two-column matrix-like object of frequencies, with the first column the frequencies in the first dimension and the second column in the second dimension.
Vector或两列的矩阵状的对象的频率，与第一列的频率在第一维和第二维中的第二列。
参数：param
Vector of two Matern parameter values, first the spatial range and second the differentiability parameter.
矢量的2 Matern的参数值，第一个空间范围，第二个是可微性参数。
参数：d
Dimension of the domain.
域的尺寸。
Details
详细信息----------Details----------
The spectral
光谱
<p align="center">\frac{1}{\Gamma(\nu)2^{\nu-1}}\left(\frac{2\sqrt{\nu}\tau}{\rho}\right)^{\nu}\mathcal{K}_{\nu}\left(\frac{2\sqrt{\nu}\tau}{\rho}\right), where rho is the range and nu the differentiability. Rho is interpreted on the scale (0,1)^d. Nu of 0.5 is the exponential correlation, and as nu goes to infinity the correlation approaches the squared exponential (Gaussian). Nu of 0.5 gives Gaussian processes with continuous but not differentiable sample paths, while nu of infinity gives infinitely-differentiable (and analytic) sample paths. In the spectral GP approximation, the frequencies are a sequence of integers from 0 to half the gridsize in each dimension.
<p ALIGN="CENTER"> \frac{1}{\Gamma(\nu)2^{\nu-1}}\left(\frac{2\sqrt{\nu}\tau}{\rho}\right)^{\nu}\mathcal{K}_{\nu}\left(\frac{2\sqrt{\nu}\tau}{\rho}\right),rho是范围和Nu可微。卢解释，上规模(0,1)^d。怒江0.5是指数的相关性，怒喝趋于无穷大的相关性接近的平方指数（高斯）。怒江0.5给出了高斯过程连续但不可微的样本路径，而女的无穷给人无限可微（分析）样本路径。在光谱GP近似，频率是整数，从0到一半的gridsize的每个维度中的一个序列。
值----------Value----------
（作者）----------Author(s)----------
Christopher Paciorek <a href="mailto:paciorek@alumni.cmu.edu">paciorek@alumni.cmu.edu</a>
参考文献----------References----------
<h3>See Also</h3>
实例----------Examples----------
library(spectralGP)
gp1=gp(128,matern.specdens,c(1,4))
gp2=gp(c(64,64),matern.specdens,c(1,4))
dens1=matern.specdens(gp1$omega,c(1,4),d=1)
dens2=matern.specdens(gp2$omega,c(1,4),d=2)
转载请注明:出自 生物统计家园网(http://www.biostatistic.net)。
注：
注1：为了方便大家学习，本文档为生物统计家园网机器人LoveR翻译而成，仅供个人R语言学习参考使用，生物统计家园保留版权。
注2：由于是机器人自动翻译，难免有不准确之处，使用时仔细对照中、英文内容进行反复理解，可以帮助R语言的学习。
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发表于 2012-9-30 14:53:17
