For a birth–death process defined on the state-space S = {0, 1, 2, . . .} and subject to catastrophes the first effective catastrophe occurrence time is considered. The Laplace transform of its probability density function, expectation and variance are determined.
A note on birth-death processes with catastrophes
DI CRESCENZO, Antonio;GIORNO, Virginia;NOBILE, Amelia Giuseppina;
2008-01-01
Abstract
For a birth–death process defined on the state-space S = {0, 1, 2, . . .} and subject to catastrophes the first effective catastrophe occurrence time is considered. The Laplace transform of its probability density function, expectation and variance are determined.File in questo prodotto:
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