Accession Number:

AD0412934

Title:

PROBLEMS OF STATISTICAL INFERENCE FOR BIRTH AND DEATH QUEUEING MODELS

Descriptive Note:

Corporate Author:

CALIFORNIA UNIV BERKELEY OPERATIONS RESEARCH CENTER

Personal Author(s):

• Wolff, R. W.

Report Date:

1963-03-25

Pagination or Media Count:

37.0

Abstract:

A large sample theory is presented for birth and death queueing processes which are ergodic and metrically transitive. The theory is applied to make inferences about how arrival and service rates vary with the number in the system. Likelihood ratio tests and maximum likelihood estimators are derived for simple models which describe this variation. Composite hypotheses such as that the arrival rate does not vary with the number in the system are considered. A numerical example illustrating these results is presented which includes the testing of both true and false composite hypotheses.

Descriptors:

• *QUEUEING THEORY
• *STATISTICAL PROCESSES
• BIRTH
• DENSITY
• MODELS
• PROBABILITY
• STATISTICAL DISTRIBUTIONS

Subject Categories:

• Operations Research

Distribution Statement:

APPROVED FOR PUBLIC RELEASE