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Some Applications of the Family of Discrete Exponential Distributions in Biology and Toxicology
Author(s) -
Janardan K. G.,
Schaeffer D. J.
Publication year - 1983
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.19830250107
Subject(s) - exponential family , statistics , exponential function , exponential distribution , biology , mathematics , sample size determination , toxicology , mathematical analysis
In this paper the relationship between the number of males and females in a community, between the number of boys and girls in a family, between the number of animals trapped and untrapped in an animal experiment, between the number of infected and uninfected in an epidemiological study, between the number of mutagens and non‐mutagens in a given sample of toxicological experiments, and others, is studied. The general expression for the correlation coefficient, ϱ, is obtained when N , the community size N , has a discrete exponential family distribution recently studied by Janardan (1980). This is then specialized to some well known discrete distributions.