Elementary expressions for moments of truncated negative binomial random variables

Saralees Nadarajah, Stephen Chan

    Research output: Contribution to journalArticlepeer-review

    Abstract

    Moments of truncated negative binomial random variables arise in many areas. But moments of general order do not appear to be available, even a correct expression for the variance of a truncated negative binomial random variable was derived only in 2016. Here, we derive the elementary expressions for the moments of general order for four different types of truncated negative binomial random variables. Computational issues are discussed for the expressions.

    Original languageEnglish
    Pages (from-to)3734-3743
    Number of pages10
    JournalCommunications in Statistics - Theory and Methods
    Volume47
    Issue number15
    Early online date23 Oct 2017
    DOIs
    Publication statusPublished - 3 Aug 2018

    Keywords

    • Lerch function
    • Maple
    • Stirling number of the first kind

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