A model for proportions with medical applications

Volume 34 / 2007

Saralees Nadarajah Applicationes Mathematicae 34 (2007), 15-27 MSC: 33C90, 62E99. DOI: 10.4064/am34-1-2


Data that are proportions arise most frequently in biomedical research. In this paper, the exact distributions of $R = X + Y$ and $W = X/(X + Y)$ and the corresponding moment properties are derived when $X$ and $Y$ are proportions and arise from the most flexible bivariate beta distribution known to date. The associated estimation procedures are developed. Finally, two medical data sets are used to illustrate possible applications.


  • Saralees NadarajahSchool of Mathematics
    University of Manchester
    Manchester M60 1QD, UK

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