Some Graphical Methods for Assessing the Dependence Structure between Neuronal Spike Trains

Abstract

Suppose that two (possibly dependent) point processes are observed simultaneously over a period of time, yielding observations at times A1 < A2 ... < AN(A) for the first process, and at times B1 < B2 < ... BN(B) for the second. Such data arises in many contexts, and it is often of interest to discover and quantify the association between the two processes. Two fields in which this situation occurs are neurophysiology and reliability theory. In this article, we describe and discuss certain graphs, plots, as well as more formal methods that can assess the dependence between point processes. Specifically, these methods indicate whether or not the likelihood of an A-point is increased (decreased) after the occurrence of a B-point. The techniques are illustrated on simulated data. Although bivariate point processes arise in many fields, we emphasize the applications in neurophysiology. Keywords: Reliability theory.

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Document Details

Document Type
Technical Report
Publication Date
Feb 13, 1990
Accession Number
ADA220161

Entities

People

  • Hani Doss
  • Joseph Marhoul

Organizations

  • Stanford University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Cross Correlation
  • Governments
  • Histograms
  • Interdisciplinary Science
  • Military Research
  • Neurophysiology
  • Neurosciences
  • New York
  • Observation
  • Reliability
  • Stationary
  • Statistics
  • Steady State
  • United States
  • United States Government
  • Universities
  • Visual Cortex

Fields of Study

  • Mathematics

Readers

  • Neuroscience
  • Statistical inference.