Improved classical limit analogues for Galton-Watson processes with or without immigration

C. C. Heyde, J. R. Leslie

    Research output: Contribution to journalArticleResearchpeer-review

    Abstract

    It has recently emerged that the central limit theorem and iterated logarithm law for random walk processes have natural counterparts for Galton-Watson processes with or without immigration. Much of the work on these counterparts has previously involved the imposition of supplementary moment conditions. In this paper we show how to dispense with these supplementary conditions and in so doing make the analogy with the random walk results complete.

    LanguageEnglish
    Pages145-155
    Number of pages11
    JournalBulletin of the Australian Mathematical Society
    Volume5
    Issue number2
    DOIs
    Publication statusPublished - 1971

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    Galton-Watson Process
    Immigration
    Classical Limit
    Random walk
    Logarithm laws
    Analogue
    Moment Conditions
    Central limit theorem
    Analogy

    Cite this

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    abstract = "It has recently emerged that the central limit theorem and iterated logarithm law for random walk processes have natural counterparts for Galton-Watson processes with or without immigration. Much of the work on these counterparts has previously involved the imposition of supplementary moment conditions. In this paper we show how to dispense with these supplementary conditions and in so doing make the analogy with the random walk results complete.",
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    Improved classical limit analogues for Galton-Watson processes with or without immigration. / Heyde, C. C.; Leslie, J. R.

    In: Bulletin of the Australian Mathematical Society, Vol. 5, No. 2, 1971, p. 145-155.

    Research output: Contribution to journalArticleResearchpeer-review

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