Estimation of Palm Measures of Stationary Point Processes.

Abstract

Estimators of the Palm measure of a stationary point process on a finite-dimensional Euclidean space are developed and shown to be strongly uniformly consistent. From them, similarly consistent estimators of reduced moment measures, the spectral measure, the spectral density function and the underlying probability measure itself are derived. Normal and Poisson approximations to distributions of estimators are presented. Application is made to the problem of combined inference and linear state estimation. (Author)

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1985
Accession Number
ADA160516

Entities

People

  • A. F. Karr

Organizations

  • Johns Hopkins University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Abstracts
  • Classification
  • Consistency
  • Estimators
  • Identification
  • Monitoring
  • Notation
  • Probability
  • Procurement
  • Security
  • Stationary

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Mathematical Modeling and Probability Theory.

Technology Areas

  • AI & ML
  • AI & ML - Bayesian Inference
  • AI & ML - Machine Learning Algorithms
  • Space