MeanPointDensity

MeanPointDensity[pdata]

estimates the mean point density from point data pdata in the observation region reg.

MeanPointDensity[bdata]

estimates the mean point density from binned data bdata.

MeanPointDensity[pproc]

computes the mean point density for point process pproc.

Details and Options

  • MeanPointDensity is also known as intensity or mean intensity.
  • The mean point density is the average number of points per unit measure of the observation region. It is given by , where is the number of points and is the measure of the observation region reg.
  • The points pdata can have the following forms:
  • {p1,p2,}points pi
    GeoPosition[],GeoPositionXYZ[],geographic points
    SpatialPointData[]spatial point collection
    {pts,reg}point collection pts and observation region reg
  • If the observation region reg is not given, a region is automatically computed using RipleyRassonRegion.
  • The point process pproc can have the following forms:
  • proca point process proc
    {proc,reg}a point process proc and observation region reg
  • The observation region reg should be a parameter-free, full-dimensional and bounded region as tested by SpatialObservationRegionQ.
  • The binned data bdata is taken to come from SpatialBinnedPointData.
  • With a point process pproc, either exact formulas or approximate computation methods are used.

Examples

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Basic Examples  (3)

Create a SpatialPointData:

Plot the points:

Mean point density:

Mean point density of a point process:

Mean point density of a point process on the surface of the Earth:

Scope  (2)

Mean point density of points in 2D:

Specify points and the original region:

Specify another region:

Estimate mean point density for a hardcore point process:

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

Text

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

BibTeX

@misc{reference.wolfram_2020_meanpointdensity, author="Wolfram Research", title="{MeanPointDensity}", year="2020", howpublished="\url{https://reference.wolfram.com/language/ref/MeanPointDensity.html}", note=[Accessed: 20-January-2021 ]}

BibLaTeX

@online{reference.wolfram_2020_meanpointdensity, organization={Wolfram Research}, title={MeanPointDensity}, year={2020}, url={https://reference.wolfram.com/language/ref/MeanPointDensity.html}, note=[Accessed: 20-January-2021 ]}

CMS

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

APA

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