ON VECTOR FIELDS GENERATED BY 'MOVING AVERAGES' OF A RANDOM POINT PROCESS.
Abstract
The joint characteristic function of the distribution of vectors at two different points in a Euclidean space of arbitrary dimension n is derived on the assumption that the vectors can be represented as the superposition of disturbances generated by points distributed Poissonwise in space. The geometrical transformations required to apply the theory are exhibited explicity for n=2 and n=3. We briefly indicate applications of the theory to the distribution of accelerations in a random star field and to the distribution of elevations on a cratered planetary surface. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1969
- Accession Number
- AD0680453
Entities
People
- Allan H. Marcus
Organizations
- Johns Hopkins University