Multiplicative population processes

書誌事項

公開日
1964-12
DOI
  • 10.1017/s0021900200108393
公開者
Cambridge University Press (CUP)

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説明

<jats:p>The theory of <jats:italic>multiplicative</jats:italic> (or <jats:italic>branching</jats:italic>) <jats:italic>population processes</jats:italic> where the states of each individual in the population range over a fixed finite set has <jats:italic>been studied by a number of authors: see for example, Everett and Ulam</jats:italic>, Kolmogorov and Sevastyanov, Harris; the continuous parameter case is treated in Arley; further references will be found in the books by Bartlett and Bharucha-Reid. The purpose of the present paper is to study the theory of such processes in the case where the individual state space is arbitrary (i.e., an abstract space).</jats:p>

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