Estimation of expected Euler characteristic curves of nonstationary smooth random fields
Estimation of expected Euler characteristic curves of nonstationary smooth random fields
The expected Euler characteristic (EEC) of excursion sets of a smooth Gaussian-related random field over a compact manifold approximates the distribution of its supremum for high thresholds. Viewed as a function of the excursion threshold, the EEC of a Gaussian-related field is expressed by the Gaussian kinematic formula (GKF) as …