Accession Number:

AD0779290

Title:

Evacuation of a Yule Process with Immigration

Descriptive Note:

Technical rept.

Corporate Author:

GEORGE WASHINGTON UNIV WASHINGTON DC DEPT OF STATISTICS

Personal Author(s):

• Brown, Mark
• Ross, Sheldon
• Shorrock, Richard

Report Date:

1974-04-29

Pagination or Media Count:

23.0

Abstract:

A correspondence is obtained between the epochs of a Yule process and orders statistics from an exponential distribution. This correspondence is used to obtain some properties of the Yule process, which are in turn used to solve an optimatization problem. This problem involves the finding of an optimal evacuation time under a model in which individuals arrive to a contaminated area according to a Yule process with immigration.

Descriptors:

• *STATISTICAL PROCESSES
• DISTRIBUTION FUNCTIONS
• EVACUATION
• RANDOM VARIABLES

Subject Categories:

• Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE