Joint Distributions for Total Progeny in a Critical Branching Process

Abstract

Let N(t) deonte the total progeny born by time t in a critical age- dependent branching process. A limit law for the joint distribution of N(alpha t)/t squared and N(t)/t squared conditioned on the event that the process is not extinct at t is obtained, where 0 < alpha < 1.

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Document Details

Document Type
Technical Report
Publication Date
Sep 23, 1977
Accession Number
ADA048790

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  • Howard J. Weiner

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  • Stanford University

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  • Materials and Manufacturing Processes

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  • Mathematics

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  • Analytical Mechanics
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