NUMERICAL MEASURES OF RANDOM SETS.
Abstract
This report tabulates moments, moment constants and, except for 3 below, the cumulative distribution function of (1) distance between two points randomly and independently placed in a line segment, disk or sphere, (2) distance between two points randomly and independently placed in a rectangle, and (3) distance from a selected point to the nearest point in a collection of (n + 1) points randomly and independently placed in a square. The results of part 3 provide measures for analyzing the boundary bias that occurs in map analysis based on spacing measures, and a procedure is described that is sometimes effective in eliminating boundary bias. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 01, 1965
- Accession Number
- AD0631789
Entities
People
- Michael F. Dacey
Organizations
- Northwestern University