A model for proportions with medical applications

Saralees Nadarajah

Applicationes Mathematicae (2007)

  • Volume: 34, Issue: 1, page 15-27
  • ISSN: 1233-7234

Abstract

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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.

How to cite

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Saralees Nadarajah. "A model for proportions with medical applications." Applicationes Mathematicae 34.1 (2007): 15-27. <http://eudml.org/doc/279052>.

@article{SaraleesNadarajah2007,
abstract = {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.},
author = {Saralees Nadarajah},
journal = {Applicationes Mathematicae},
keywords = {bivariate beta distribution; estimation; moments; ratio of random variables; sum of random variables},
language = {eng},
number = {1},
pages = {15-27},
title = {A model for proportions with medical applications},
url = {http://eudml.org/doc/279052},
volume = {34},
year = {2007},
}

TY - JOUR
AU - Saralees Nadarajah
TI - A model for proportions with medical applications
JO - Applicationes Mathematicae
PY - 2007
VL - 34
IS - 1
SP - 15
EP - 27
AB - 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.
LA - eng
KW - bivariate beta distribution; estimation; moments; ratio of random variables; sum of random variables
UR - http://eudml.org/doc/279052
ER -

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