The Detection and Estimation of Trends in Two-Dimensional Poisson Processes

Abstract

The occurrence of independent events at random in the plane, i.e. the formation of a planar point process, is discussed. Both homogeneous and nonhomogeneous processes are considered. A specific functional form for the parameter in a nonhomogeneous planar Poisson process is used to illustrate the development of test and parameter estimation techniques. The problem finds application in the description of biological phenomena as well as in search and detection problems.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1973
Accession Number
AD0761360

Entities

People

  • Robert D. Rantschler

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Air Platforms
  • C4I

DTIC Thesaurus Topics

  • Data Science
  • Databases
  • Differential Equations
  • Equations
  • Information Science
  • Maximum Likelihood Estimation
  • New York
  • Normal Distribution
  • Probability
  • Random Variables
  • Regression Analysis
  • Statistical Algorithms
  • Statistical Analysis
  • Statistical Inference
  • Statistics
  • Surveys
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Regression Analysis.
  • Systems Analysis and Design