A Test for Superadditivity of the Mean Value Function of a Non-Homogeneous Poisson Process.

Abstract

Let N(t) be a non-homogeneous Poisson process with mean value function Lambda(t) and rate of occurrence lambda(t). The author a conditional test of the hypothesis that the process is homogeneous, versus alternatives for which the mean value function is superadditive. Specific models leading to superadditivity are presented, and the superadditive test is compared, on the basis of consistency and asymptotic relative efficiency, with the Cox-Lewis test; the latter is directed to alternatives where lambda(t) is increasing. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1973
Accession Number
AD0770666

Entities

People

  • Frank Proschan
  • Myles Hollander

Organizations

  • Florida State University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Consistency

Fields of Study

  • Mathematics

Readers

  • Analytical Mechanics
  • Computational Modeling and Simulation
  • Structural Dynamics.