Pii: S0025-5564(99)00059-0
نویسنده
چکیده
Under the in ̄uence of randomly occurring disasters, the eventual extinction probability, q, of a birth and death process, Z, is a random variable. In this paper, we obtain an integral expression for the probability density function g x of q under the assumption that the population process Z is a time homogeneous linear birth and death process and the disasters occur according to an arbitrary renewal process so that its interarrival times have a density. An example is provided to demonstrate how to evaluate the integral numerically. Ó 2000 Elsevier Science Inc. All rights reserved. MSC: Primary 60J80; Secondary 92A15
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تاریخ انتشار 2000