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Evacuation of a Yule Process with Immigration
GEORGE WASHINGTON UNIV WASHINGTON DC DEPT OF STATISTICS
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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.
APPROVED FOR PUBLIC RELEASE