Softcore(spatstat)
Softcore()所属R语言包：spatstat
The Soft Core Point Process Model
软核点过程模型
译者：生物统计家园网 机器人LoveR
描述----------Description----------
Creates an instance of the Soft Core point process model which can then be fitted to point pattern data.
创建一个实例的软核点过程模型，然后可以配点模式数据。
用法----------Usage----------
Softcore(kappa)
参数----------Arguments----------
参数：kappa
The exponent kappa of the Soft Core interaction
该指数kappa的软核的相互作用
Details
详细信息----------Details----------
The (stationary) Soft Core point process with parameters beta and sigma and exponent kappa is the pairwise interaction point process in which each point contributes a factor beta to the probability density of the point pattern, and each pair of points contributes a factor
（固定）软核点过程参数beta和sigma和指数kappa是对相互作用点的过程中，每个点的概率密度贡献的一个因素beta点图案，并且每个点对的贡献的一个因素
to the density, where d is the distance between the two points.
的密度，其中d是在两个点之间的距离。
Thus the process has probability density
因此，该工艺具有概率密度
where x[1],…,x[n] represent the points of the pattern, n(x) is the number of points in the pattern, alpha is the normalising constant, and the sum on the right hand side is over all unordered pairs of points of the pattern.
x[1],…,x[n]代表的模式，n(x)是模式中的点的数量，alpha是标准化常数，和右手边的总和超过无序对的点的图案。
This model describes an “ordered” or “inhibitive” process, with the interpoint interaction decreasing smoothly with distance. The strength of interaction is controlled by the parameter sigma, a positive real number, with larger values corresponding to stronger interaction; and by the exponent kappa in the range (0,1), with larger values corresponding to weaker interaction. If sigma = 0 the model reduces to the Poisson point process. If sigma > 0, the process is well-defined only for kappa in (0,1). The limit of the model as kappa -> 0 is the hard core process with hard core distance h=sigma.
该模型描述了一个“有序”或“抑制”的过程中，INTERPOINT互动顺利，下降距离。相互作用的强度被控制的参数sigma，一个正实数，具有较大的值相对应的较强的相互作用，以及由指数kappa取值范围为(0,1)，较大的值对应的到较弱的互动。如果sigma = 0模型简化为泊松点过程中。如果sigma > 0，过程定义为kappa(0,1)。 kappa -> 0模型的限制是硬核与硬核的距离h=sigma。
The nonstationary Soft Core process is similar except that the contribution of each individual point x[i] is a function beta(x[i]) of location, rather than a constant beta.
非平稳软核过程是类似的，除了的贡献，每个点x[i]的功能beta(x[i])的位置，而不是一个常数测试。
The function ppm(), which fits point process models to point pattern data, requires an argument of class "interact" describing the interpoint interaction structure of the model to be fitted. The appropriate description of the Soft Core process pairwise interaction is yielded by the function Softcore(). See the examples below.
的功能ppm()，适合点模式数据点过程模型，需要一个参数的类"interact"描述INTERPOINT互动结构的模型被安装。软核的适当的描述过程中对相互作用产生的功能Softcore()。请参见下面的例子。
Note the only argument is the exponent kappa. When kappa is fixed, the model becomes an exponential family with canonical parameters log(beta)
注意：唯一的参数是指数kappa。当kappa是固定的，模型成为一个规范的参数指数族log(beta)
The canonical parameters are estimated by ppm(), not fixed in Softcore().
规范的参数估计ppm()，而不是固定在Softcore()。
值----------Value----------
An object of class "interact" describing the interpoint interaction structure of the Soft Core process with exponent kappa.
类的一个对象"interact"指数kappa的INTERPOINT的软核过程中的互动结构描述。
（作者）----------Author(s)----------
Adrian Baddeley
<a href="mailto:Adrian.Baddeley@csiro.au">Adrian.Baddeley@csiro.au</a>
<a href="http://www.maths.uwa.edu.au/~adrian/">http://www.maths.uwa.edu.au/~adrian/</a>
and Rolf Turner
<a href="mailto:r.turner@auckland.ac.nz">r.turner@auckland.ac.nz</a>
参考文献----------References----------
Estimation of interaction potentials of spatial point patterns through the maximum likelihood procedure. Annals of the Institute of Statistical Mathematics, B 33, 315–338.
Likelihood analysis of spatial point patterns. Journal of the Royal Statistical Society, series B 46, 496–518.
参见----------See Also----------
ppm, pairwise.family, ppm.object
ppm，pairwise.family，ppm.object
实例----------Examples----------
data(cells)
ppm(cells, ~1, Softcore(kappa=0.5), correction="isotropic")
# fit the stationary Soft Core process to `cells'[适合固定软核过程，单元]
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 14:15:00
