Quantization for Distributed Testing of Independence

Abstract

We consider the problem of distributed test of statistical independence under communication constraints. While independence test is frequently encountered in various applications, distributed independence test is particularly useful for events detection in sensor networks: data correlation often occurs among sensor observations in the presence of a target. Focusing on the Gaussian case because of its tractability, we study in this paper the characteristics of optimal scalar quantizers for distributed test of independence where the optimality is in the sense of optimizing the error exponent. We also discuss the optimal quantizer properties for the finite sample regime, i.e., that of directly minimizing the error probability.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 2010
Accession Number
ADA564633

Entities

People

  • Biao Chen
  • John Matyjas
  • Minna Chen
  • Wei Liu

Organizations

  • Syracuse University

Tags

Communities of Interest

  • Materials and Manufacturing Processes
  • Sensors

DTIC Thesaurus Topics

  • Air Force Research Laboratories
  • Computational Science
  • Detection
  • Detectors
  • Distribution Functions
  • Gaussian Distributions
  • Image Processing
  • Military Research
  • Networks
  • Probability
  • Random Variables
  • Sensor Networks
  • Signal Processing
  • Statistical Inference
  • Wireless Sensor Networks

Fields of Study

  • Engineering

Readers

  • Aerospace Test and Evaluation
  • Approximation Theory.
  • Mathematical Modeling and Probability Theory.