A New Method of Edge Correction for Estimating the Nearest Neighbor Distribution. Revised.

Abstract

Analysis of data in the form of a set of points irregularly distributed within a region of space usually involves the study of some property of the distribution of interevent distances. One such function is C, the distribution of the distance from an event to its nearest neighbor. In practice, point processes are commonly observed through a bounded window, thus making edge effects an important component in the estimation of C. Several estimators have been proposed, all dealing with the edge effect problem in different ways. This paper proposes a new alternative for estimating the nearest neighbor distribution and compares it to other estimators. The result is an estimator with relatively small mean squared error for a wide variety of stationary processes. (AN)

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1994
Accession Number
ADA295769

Entities

People

  • Ernesto M. Floresroux
  • Michael L. Stein

Organizations

  • University of Chicago

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Data Analysis
  • Data Mining
  • Data Science
  • Distribution Functions
  • Estimators
  • Information Science
  • Probability
  • Random Variables
  • Simulations
  • Stationary
  • Stationary Processes
  • Statistical Algorithms
  • Statistical Analysis
  • Statistical Inference
  • Statistics

Readers

  • Approximation Theory.
  • Mathematical Modeling and Probability Theory.

Technology Areas

  • Space