Accession Number:

AD0770666

Title:

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

Descriptive Note:

Interim rept.,

Corporate Author:

FLORIDA STATE UNIV TALLAHASSEE DEPT OF STATISTICS

Personal Author(s):

• Hollander,Myles
• Proschan,Frank

Report Date:

1973-10-01

Pagination or Media Count:

29.0

Abstract:

Let Nt be a non-homogeneous Poisson process with mean value function Lambdat and rate of occurrence lambdat. 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 lambdat is increasing. Author

Descriptors:

• *STOCHASTIC PROCESSES
• *SAMPLING
• STATISTICAL TESTS
• LIFE TESTS
• RELIABILITY
• STATISTICAL DISTRIBUTIONS
• ASYMPTOTIC SERIES
• THEOREMS
• APPROXIMATION(MATHEMATICS)
• INEQUALITIES

Subject Categories:

• Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE