Extremes of geometric variables with applications to branching processes
We obtain limit theorems for the row extrema of a triangular array of zero-modified geometric random variables. Some of this is used to obtain limit theorems for the maximum family size within a generation of a simple branching process with varying geometric offspring laws.
Year of publication: |
2003
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Authors: | Mitov, Kosto V. ; Pakes, Anthony G. ; Yanev, George P. |
Published in: |
Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 65.2003, 4, p. 379-388
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Publisher: |
Elsevier |
Keywords: | Sample extrema Geometric arrays Branching processes Varying environments Maximum family sizes |
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