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DiggleGatesPointProcess[μ,ρ,d]

表示一个 Diggle–Gates 点过程，其固定强度为 μ 且交互半径为 中的 ρ.

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范例  
基本范例  
范围  
选项  
Method  
可能存在的问题  
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DiggleGatesPointProcess

DiggleGatesPointProcess[μ,ρ,d]

表示一个 Diggle–Gates 点过程，其固定强度为 μ 且交互半径为 中的 ρ.

更多信息

范例

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基本范例  (2)

Diggle–Gates 点过程的抽样：

Wolfram Language code: domain = Rectangle[{0, 0}, {10, 10}];
Wolfram Language code: pts = RandomPointConfiguration[DiggleGatesPointProcess[10, 2, 2], domain]


在样本中可视化点：

Wolfram Language code: Show[RegionPlot[domain], ListPlot[pts]]

在地球表面定义的 Diggle–Gates 点过程的样本：

Wolfram Language code: reg = Entity["Country", "Denmark"]["Polygon"]
Wolfram Language code: pts = RandomPointConfiguration[DiggleGatesPointProcess[Quantity[3/1000, 1/"Kilometers"^2], Quantity[3, "Kilometers"], 2], reg, 1]

可视化点：

Wolfram Language code: GeoListPlot[pts]

范围  (2)

生成两个 Diggle–Gates 点过程的实现过程：

Wolfram Language code: proc = DiggleGatesPointProcess[50, .1, 2]; reg = Disk[];
Wolfram Language code: SeedRandom[1]; pts = RandomPointConfiguration[proc, reg, 2]
Wolfram Language code: ListPlot[pts]

估算参数：

Wolfram Language code: Clear[μ, ρ, d]; EstimatedPointProcess[pts, DiggleGatesPointProcess[μ, ρ, d]]

生成两个在地球表面的 Diggle–Gates 点过程的实现过程：

Wolfram Language code: μ = Quantity[.3, "Kilometers" ^ -2]; ρ = Quantity[10., "Kilometers"];
Wolfram Language code: proc = DiggleGatesPointProcess[μ, ρ, 2]; reg = GeoDisk[Entity["City", {"BuenosAires", "BuenosAires", "Argentina"}], Quantity[30, "Kilometers"]];
Wolfram Language code: pts = RandomPointConfiguration[proc, reg, 2]

可视化点布局：

Wolfram Language code: GeoListPlot[pts]

估算参数：

Wolfram Language code: Clear[μ, ρ, d]; EstimatedPointProcess[pts, DiggleGatesPointProcess[μ, ρ, d]]

选项  (3)

Method  (3)

使用马尔科夫链蒙特卡洛模拟方法：

Wolfram Language code: proc = DiggleGatesPointProcess[10, .1, 2]; reg = Disk[];
Wolfram Language code: RandomPointConfiguration[proc, reg, Method -> "MCMC"]

指定对取样器的递归调用的数量：

Wolfram Language code: RandomPointConfiguration[proc, reg, Method -> {"MCMC", MaxRecursion -> 6}]

指定行程长度：

Wolfram Language code: RandomPointConfiguration[proc, reg, Method -> {"MCMC", "LengthOfRun" -> 5000}]

提供模拟的初始状态：

Wolfram Language code: proc = DiggleGatesPointProcess[10, .1, 2]; reg = Disk[];
Wolfram Language code: RandomPointConfiguration[proc, reg, Method -> {"MCMC", "InitialState" -> RandomPoint[reg, 100]}]

使用精确方法进行抽样：

Wolfram Language code: proc = DiggleGatesPointProcess[10, .1, 2];reg = Rectangle[{0, 0}, {10, 10}];
Wolfram Language code: pts = RandomPointConfiguration[proc, reg, Method -> {"Exact", MaxRecursion -> 20}]

可视化样本中的点：

Wolfram Language code: Show[RegionPlot[reg], ListPlot[pts]]

可能存在的问题  (1)

默认情况下，模拟会在点的数量收敛到一个稳定状态之前或达到默认迭代次数之前持续运行：

Wolfram Language code: proc = DiggleGatesPointProcess[10000, .04, 2]; reg = Disk[];
Wolfram Language code: RandomPointConfiguration[proc, reg]

提高对抽样器递归调用的数量：

Wolfram Language code: RandomPointConfiguration[proc, reg, Method -> {"MCMC", MaxRecursion -> 6}]

指定更长的行程长度：

Wolfram Language code: RandomPointConfiguration[proc, reg, Method -> {"MCMC", "LengthOfRun" -> 5 * 10 ^ 4}]
Wolfram Research (2020)，DiggleGatesPointProcess，Wolfram 语言函数，https://reference.wolfram.com/language/ref/DiggleGatesPointProcess.html.

文本

Wolfram Research (2020)，DiggleGatesPointProcess，Wolfram 语言函数，https://reference.wolfram.com/language/ref/DiggleGatesPointProcess.html.

CMS

Wolfram 语言. 2020. "DiggleGatesPointProcess." Wolfram 语言与系统参考资料中心. Wolfram Research. https://reference.wolfram.com/language/ref/DiggleGatesPointProcess.html.

APA

Wolfram 语言. (2020). DiggleGatesPointProcess. Wolfram 语言与系统参考资料中心. 追溯自 https://reference.wolfram.com/language/ref/DiggleGatesPointProcess.html 年

BibTeX

@misc{reference.wolfram_2026_digglegatespointprocess, author="Wolfram Research", title="{DiggleGatesPointProcess}", year="2020", howpublished="\url{https://reference.wolfram.com/language/ref/DiggleGatesPointProcess.html}", note=[Accessed: 15-September-2026]}

BibLaTeX

@online{reference.wolfram_2026_digglegatespointprocess, organization={Wolfram Research}, title={DiggleGatesPointProcess}, year={2020}, url={https://reference.wolfram.com/language/ref/DiggleGatesPointProcess.html}, note=[Accessed: 15-September-2026]}