6533b7d1fe1ef96bd125d245
RESEARCH PRODUCT
Minimum contrast for point processes' first-order intensity estimation
Nicoletta D'angeloGiada Adelfiosubject
Second-order characteristics Spatial statistics Spatio-temporal point processes Local models Minimum contrastSettore SECS-S/01 - Statisticadescription
In this paper, we exploit some theoretical results, from which we know the expected value of the K-function weighted by the true first-order intensity function of a point pattern. This theoretical result can serve as an estimation method for obtaining the parameter estimates of a specific model, assumed for the data. The only requirement is the knowledge of the first-order intensity function expression, completely avoiding writing the likelihood, which is often complex to deal with in point process models. We illustrate the method through simulation studies for spatio-temporal point processes.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2023-01-01 |