Reduction of n-th moment measures and the special case of the third moment measure of stationary and isotropic planar point processes

Abstract

Formulae for the reduction of n-th moment measures of stationary point processes and an unbiased estimator for the reduced n-th moment measure are given. In particular, the special case of the third moment measure of planar point processes is considered and the application of the quantities studied is illustrated by an example.

Keywords:

• Stationary point process
• n-th moment measures
• reduced n-th moment measures
• unbiased estimators
• planar point processes