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On invariant measures for simple branching processes (Summary)
Published online by Cambridge University Press: 17 April 2009
Abstract
Problems pertaining to invariant measures of a non-critical Galton-Watson process, whether with or without Immigration, may be discussed in terms of measures of a subcritical process with a possibly defective immigration distribution. There is in fact only one such measure satisfying a regular variation condition. This result provides a unifying principle for several contexts of Galton-Watson theory. A full discussion with analytical details will appear elsewhere.
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- Copyright © Australian Mathematical Society 1970
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