# Summary statistics for inhomogeneous marked point processes

arXiv: https://arxiv.org/abs/1407.3089 · HTML: https://mlsanity.com/paper/1407.3089/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 11 Jul 2014.

## Built on by (most cited first, 1 of 1)

- [Statistical learning and cross-validation for point processes](https://mlsanity.com/paper/2103.01356/) (2021)

## Abstract (arXiv)

We propose new summary statistics for intensity-reweighted moment stationary marked point processes with particular emphasis on discrete marks. The new statistics are based on the n-point correlation functions and reduce to cross J- and D-functions when stationarity holds. We explore the relationships between the various functions and discuss their explicit forms under specific model assumptions. We derive ratio-unbiased minus sampling estimators for our statistics and illustrate their use on a data set of wildfires.