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FindPointProcessParameters
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FindPointProcessParameters

[Experimental]

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estimates the parameters of the point process pproc from point data pdata.

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FindPointProcessParameters[pdata,pproc,{{p,p0},{q,q0},…}]

estimates the parameters p, q, … with starting values p0, q0, ….

Details and Options

Examples

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Basic Examples  (1)Summary of the most common use cases

Estimate the parameter of a PoissonPointProcess:

In[1]:=1
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https://wolfram.com/xid/0d4jm0uqz84yv5nn-87m94z
In[2]:=2
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https://wolfram.com/xid/0d4jm0uqz84yv5nn-ntrd4p
Out[2]=2

Obtain the estimated process:

In[3]:=3
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https://wolfram.com/xid/0d4jm0uqz84yv5nn-bm24nr
Out[3]=3

Compare the nearest neighbor function of the estimated process to the original data:

In[4]:=4
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https://wolfram.com/xid/0d4jm0uqz84yv5nn-hb971p
In[6]:=6
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https://wolfram.com/xid/0d4jm0uqz84yv5nn-ijidg5
Out[6]=6

Scope  (3)Survey of the scope of standard use cases

Cluster point processes  (1)

Simulate a point configuration from a Matérn point process:

In[1]:=1
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https://wolfram.com/xid/0d4jm0uqz84yv5nn-8c7zax
In[2]:=2
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https://wolfram.com/xid/0d4jm0uqz84yv5nn-9g5xhe
Out[2]=2

Use the "FindClusters" method to estimate a point process model:

In[3]:=3
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https://wolfram.com/xid/0d4jm0uqz84yv5nn-3o7emz
Out[3]=3

Compare the Ripley measure between the original process and the estimated model:

In[4]:=4
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https://wolfram.com/xid/0d4jm0uqz84yv5nn-m5qyr2
Out[4]=4

Gibbs point processes  (2)

Estimate a hardcore point process:

In[1]:=1
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https://wolfram.com/xid/0d4jm0uqz84yv5nn-f65qge
In[2]:=2
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https://wolfram.com/xid/0d4jm0uqz84yv5nn-v1my3r
Out[2]=2

Use automatic method:

In[3]:=3
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https://wolfram.com/xid/0d4jm0uqz84yv5nn-0lrhw4
Out[3]=3

Estimate an interaction point process:

In[1]:=1
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https://wolfram.com/xid/0d4jm0uqz84yv5nn-m3vtqd
In[2]:=2
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https://wolfram.com/xid/0d4jm0uqz84yv5nn-02lrvk
Out[2]=2
In[3]:=3
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https://wolfram.com/xid/0d4jm0uqz84yv5nn-ktpc3y
Out[3]=3

Find the point process parameters:

In[4]:=4
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https://wolfram.com/xid/0d4jm0uqz84yv5nn-g1jfw2
Out[4]=4

Options  (3)Common values & functionality for each option

PointProcessEstimator  (2)

Estimate a cluster point process:

In[1]:=1
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https://wolfram.com/xid/0d4jm0uqz84yv5nn-60qt3t

Use the "FindClusters" method to estimate a point process model:

In[3]:=3
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https://wolfram.com/xid/0d4jm0uqz84yv5nn-v0w81j
Out[3]=3

Use the method of moments:

In[4]:=4
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https://wolfram.com/xid/0d4jm0uqz84yv5nn-qlcixz
Out[4]=4

Estimate an interaction process:

In[1]:=1
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https://wolfram.com/xid/0d4jm0uqz84yv5nn-k4hl1s

Use "MaximumPseudoLikelihood" method:

In[2]:=2
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https://wolfram.com/xid/0d4jm0uqz84yv5nn-gtlp8y
Out[2]=2

Use "MaximumLikelihood" method:

In[3]:=3
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https://wolfram.com/xid/0d4jm0uqz84yv5nn-knkvty
Out[3]=3

WorkingPrecision  (1)

Estimate a cluster point process with arbitrary precision:

In[1]:=1
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https://wolfram.com/xid/0d4jm0uqz84yv5nn-2uxcd2

Specify WorkingPrecision:

In[3]:=3
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https://wolfram.com/xid/0d4jm0uqz84yv5nn-kg4jll
Out[3]=3

FindPointProcessParameters uses MachinePrecision as default:

In[4]:=4
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https://wolfram.com/xid/0d4jm0uqz84yv5nn-0s6dcu
Out[4]=4
Wolfram Research (2020), FindPointProcessParameters, Wolfram Language function, https://reference.wolfram.com/language/ref/FindPointProcessParameters.html.
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Wolfram Research (2020), FindPointProcessParameters, Wolfram Language function, https://reference.wolfram.com/language/ref/FindPointProcessParameters.html.

Text

Wolfram Research (2020), FindPointProcessParameters, Wolfram Language function, https://reference.wolfram.com/language/ref/FindPointProcessParameters.html.

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Wolfram Research (2020), FindPointProcessParameters, Wolfram Language function, https://reference.wolfram.com/language/ref/FindPointProcessParameters.html.

CMS

Wolfram Language. 2020. "FindPointProcessParameters." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/FindPointProcessParameters.html.

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Wolfram Language. 2020. "FindPointProcessParameters." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/FindPointProcessParameters.html.

APA

Wolfram Language. (2020). FindPointProcessParameters. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/FindPointProcessParameters.html

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Wolfram Language. (2020). FindPointProcessParameters. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/FindPointProcessParameters.html

BibTeX

@misc{reference.wolfram_2025_findpointprocessparameters, author="Wolfram Research", title="{FindPointProcessParameters}", year="2020", howpublished="\url{https://reference.wolfram.com/language/ref/FindPointProcessParameters.html}", note=[Accessed: 07-June-2025 ]}

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@misc{reference.wolfram_2025_findpointprocessparameters, author="Wolfram Research", title="{FindPointProcessParameters}", year="2020", howpublished="\url{https://reference.wolfram.com/language/ref/FindPointProcessParameters.html}", note=[Accessed: 07-June-2025 ]}

BibLaTeX

@online{reference.wolfram_2025_findpointprocessparameters, organization={Wolfram Research}, title={FindPointProcessParameters}, year={2020}, url={https://reference.wolfram.com/language/ref/FindPointProcessParameters.html}, note=[Accessed: 07-June-2025 ]}

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@online{reference.wolfram_2025_findpointprocessparameters, organization={Wolfram Research}, title={FindPointProcessParameters}, year={2020}, url={https://reference.wolfram.com/language/ref/FindPointProcessParameters.html}, note=[Accessed: 07-June-2025 ]}