Empirical Bayes Methods Applied to Spatial Analysis Problems,

Abstract

A generalization of empirical Bayes estimators to the case in which the components have unequal variance is given. This estimator is applied to the spatial analysis problem of estimating the probability that a fire alarm reported from a particular street box signals a structural fire rather than a false alarm, rubbish fire or other emergency. The approach is to group alarm boxes into relatively homogeneous neighborhoods and to make empirical Bayes estimates of the 'probability structural' for each box in the neighborhood for yearly (1967-1969) Bronx data. The results are evaluated by measuring how a dispatching rule based on the estimates performs on 1970 data.

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1973
Accession Number
ADA002176

Entities

People

  • Grace M. Carter
  • John E. Rolph

Organizations

  • RAND Corporation

Tags

DTIC Thesaurus Topics

  • Detectors
  • Emergencies
  • Estimators
  • False Alarms
  • Mathematics
  • Probability
  • Warning Systems

Fields of Study

  • Mathematics

Readers

  • Educational Psychology
  • Regression Analysis.