
Accession Number : AD0680453
Title : ON VECTOR FIELDS GENERATED BY 'MOVING AVERAGES' OF A RANDOM POINT PROCESS.
Descriptive Note : Technical rept.,
Corporate Author : JOHNS HOPKINS UNIV BALTIMORE MD DEPT OF STATISTICS
Personal Author(s) : Marcus,Allan H.
Report Date : JAN 1969
Pagination or Media Count : 20
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)
Descriptors : (*VECTOR SPACES, FUNCTIONS(MATHEMATICS)), (*STARS, GRAVITY), (*MOON, *EXTRATERRESTRIAL TOPOGRAPHY), STOCHASTIC PROCESSES, TRANSFORMATIONS(MATHEMATICS), ACCELERATION, TERRAIN
Subject Categories : Astrophysics
Statistics and Probability
Distribution Statement : APPROVED FOR PUBLIC RELEASE