Abstract
We define and study the existence of log Gaussian Cox processes (LGCPs)
for the description of inhomogeneous and aggregated/clustered point patterns
on the d-dimensional sphere, with d = 2 of primary interest. Useful theoretical
properties of LGCPs are studied and applied for the description of sky
positions of galaxies, in comparison with previous analysis using a Thomas
process. We focus on simple estimation procedures and model checking based
on functional summary statistics and the global envelope test.
for the description of inhomogeneous and aggregated/clustered point patterns
on the d-dimensional sphere, with d = 2 of primary interest. Useful theoretical
properties of LGCPs are studied and applied for the description of sky
positions of galaxies, in comparison with previous analysis using a Thomas
process. We focus on simple estimation procedures and model checking based
on functional summary statistics and the global envelope test.
| Original language | English |
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| Publisher | CSGB, Institut for Matematik, Aarhus Universitet |
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| Number of pages | 14 |
| Publication status | Published - 2018 |
| Series | CSGB Research Report |
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| Number | 4 |
| Volume | 2018 |
Keywords
- Hölder continuity
- minimum contrast estimation
- model checking
- point processes on the sphere
- reduced Palm distribution
- second order intensity reweighted homogeneity