Representations for the rate of convergence of birth-death processes

Erik A. van Doorn

    Research output: Contribution to journalArticleAcademicpeer-review


    We display some representations for the rate of convergence of a birth-death process, which are useful for obtaining upper and lower bounds. The expressions are brought to light by exploiting the spectral representation for the transition probabilities of a birth-death process and results from the theory of orthogonal polynomials.
    Original languageUndefined
    Pages (from-to)37-43
    Number of pages8
    JournalTheory of probability and mathematical statistics
    Publication statusPublished - 2002


    • Decay parameter
    • duality
    • Orthogonal polynomials
    • Birth-death process
    • METIS-207006
    • IR-62340
    • EWI-12838

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