An Estimation Problem with Poisson Processes.

Abstract

This paper considers an estimation problem involving n independent Poisson processes such that the i-th process has intensity function lambda (intensity)(t) = delta (intensity) p(t; alpha). It is of interest to estimate p(t; alpha). Two estimation procedures are developed, one using the exact arrival times of observations, the second using categorical arrival times of observations. Two specific instances of p(t), an exponential and a bilinear form are investigated further. An example applying the methodology to the active life of a judicial opinion is described. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Apr 20, 1982
Accession Number
ADA115346

Entities

People

  • Alan E. Gelfand

Organizations

  • Stanford University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Efficiency
  • Equations
  • Governments
  • Intensity
  • Intervals
  • Maximum Likelihood Estimation
  • Method Of Moments
  • Military Research
  • Observation
  • Statistical Analysis
  • Statistics
  • Supreme Court
  • Time Intervals
  • Two Dimensional
  • United States
  • United States Government

Fields of Study

  • Mathematics

Readers

  • Statistical inference.
  • Systems Analysis and Design