Estimation of a proportion using several independent samples of binomial mixtures

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

*Corresponding author for this work

    Research output: Contribution to journalArticle

    4 Citations (Scopus)

    Abstract

    This paper considers a sequence of independent counts, with each count arising from a mixture of binomial distributions; the mixing distribution is fixed but the number of trials varies from count to count. In this common situation, an estimate of the underlying mean binomial proportion is needed. Two estimators are in general use: the arithmetic average and a weighted average of the observed proportions. Variances of the two estimators are compared and used to decide which estimator is preferred in a given context. The relative merits depend on the distribution of the proportions and the numbers of trials used.

    Original languageEnglish
    Pages (from-to)441-448
    Number of pages8
    JournalAustralian and New Zealand Journal of Statistics
    Volume47
    Issue number4
    DOIs
    Publication statusPublished - Dec 2005

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