A Goodness-of-Fit Test for a Class of Nonhomogeneous Poisson Processes.

Abstract

This paper discusses a goodness-of-fit test for a class of nonhomogeneous Poisson processes. This class of processes has been used to describe the phenomena of reliability growth and of the occurrence of failures in a complex, repairable system. Improved tables of percentiles of the small distribution of the Cramer-von Mises statistic in which a parametric exponent is estimated are provided for use in the test. The test can also be used to test the hypothesis that a random sample comes from a cumulative distribution function which can be expressed as an unknown positive power of a specified cdf. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1977
Accession Number
ADA048180

Entities

People

  • David L. Clark

Organizations

  • United States Army Materiel Systems Analysis Activity

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Data Science
  • Distribution Functions
  • Estimators
  • Goodness Of Fit Tests
  • Information Processing
  • Information Science
  • Monte Carlo Method
  • Order Statistics
  • Probability
  • Random Variables
  • Statistical Algorithms
  • Statistical Samples
  • Statistics
  • Stochastic Processes
  • Systems Analysis
  • Test And Evaluation
  • Theorems

Fields of Study

  • Mathematics

Readers

  • Statistical inference.