Accession Number:

ADA048180

Title:

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

Descriptive Note:

Technical rept.,

Corporate Author:

ARMY MATERIEL SYSTEMS ANALYSIS ACTIVITY ABERDEEN PROVING GROUND MD

Personal Author(s):

• Clark,David L.

Report Date:

1977-12-01

Pagination or Media Count:

23.0

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

Descriptors:

• *RELIABILITY
• *POISSON DENSITY FUNCTIONS
• MATHEMATICAL MODELS
• PARAMETRIC ANALYSIS
• STOCHASTIC PROCESSES
• FAILURE
• MONTE CARLO METHOD
• STATISTICAL SAMPLES
• REPAIR
• SYSTEMS ANALYSIS
• STATISTICAL DISTRIBUTIONS
• EXPONENTIAL FUNCTIONS
• HOMOGENEITY

Subject Categories:

• Statistics and Probability
• Manufacturing and Industrial Engineering and Control of Production Systems

Distribution Statement:

APPROVED FOR PUBLIC RELEASE