
244 Spatial Point Patterns: Methodology and Applications with R
In pra ctice, the intensity function will need to be estimated from data, so the e stima tor (7.50)
could be biased. The intensity function is usually estimated from the same point pattern data,
which can lead to substantial bias in the estimate of K
inhom
(r). This justifies the data-dependent
denominator D. Nonparametric estimates of intensity, being more responsive to local fluctu ations
in the data, tend to produce more biased estimates of K
inhom
(r) than parametric estimates of intensity,
provided the intensity model is correctly specified [ 46, 225, 274].
The estimator (7.50) requires ...