Self-crossing points of a line segment process

Abstrakt

The intensity of intersections in a planar line segment process is investigated. Its natural estimator is shown to be asymptotically normal under conditions on absolute regularity coefficient of the underlying point process.

Klíčová slova

• absolute regularity coefficient
• asymptotic variance
• central limit theorem
• independent marking
• intensity of intersections
• Poisson process
• segment process