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December, 1972 A Critical Age-Dependent Branching Process with Immigration
Howard J. Weiner
Ann. Math. Statist. 43(6): 2099-2103 (December, 1972). DOI: 10.1214/aoms/1177690892

Abstract

It is shown that the number of cells alive at time $t$, denoted by $Z_0(t)$, of a critical age dependent branching process with immigration satisfies $t^{-1}Z_0(t)$ approaches a gamma law with specified constants in distribution.

Citation

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Howard J. Weiner. "A Critical Age-Dependent Branching Process with Immigration." Ann. Math. Statist. 43 (6) 2099 - 2103, December, 1972. https://doi.org/10.1214/aoms/1177690892

Information

Published: December, 1972
First available in Project Euclid: 27 April 2007

zbMATH: 0253.60075
MathSciNet: MR370811
Digital Object Identifier: 10.1214/aoms/1177690892

Rights: Copyright © 1972 Institute of Mathematical Statistics

Vol.43 • No. 6 • December, 1972
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