The mean of the inverse of a punctured normal distribution and its application

C. D. Lai*, G. R. Wood, C. G. Qiao

*Corresponding author for this work

    Research output: Contribution to journalArticle

    5 Citations (Scopus)

    Abstract

    The fundamental properties of a punctured normal distribution are studied. The results are applied to three issues concerning X/Y where X and Y are independent normal random variables with means μX and μY respectively. First, estimation of μX/ μY as a surrogate for E(X/Y) is justified, then the reason for preference of a weighted average, over an arithmetic average, as an estimator of μXY is given. Finally, an approximate confidence interval for μXY provided. A grain yield data set is used to illustrate the results.

    Original languageEnglish
    Pages (from-to)420-429
    Number of pages10
    JournalBiometrical Journal
    Volume46
    Issue number4
    DOIs
    Publication statusPublished - 2004

    Fingerprint Dive into the research topics of 'The mean of the inverse of a punctured normal distribution and its application'. Together they form a unique fingerprint.

    Cite this