A transformation is sought for a binomially distributed random variable f, such that the transformed variate Y(f) exhibits a homogeneous variance, E{(Y(f )-E{Y(f)})² } = 1, and an unbiased mean, E{Y(f)} = Y(p), for the family of binomial distributions
of given sample size generated by p .
Y(f) is expanded in a Taylor series about p, conditions are set corresponding to the above requirements, and the resulting non-linear differential equations in Y(p) are solved numerically.
The success of the transformation is comparable to published transformations. / Science, Faculty of / Mathematics, Department of / Graduate
| Identifer | oai:union.ndltd.org:UBC/oai:circle.library.ubc.ca:2429/36729 |
| Date | January 1967 |
| Creators | Green, Virginia Beryl (Berry) |
| Publisher | University of British Columbia |
| Source Sets | University of British Columbia |
| Language | English |
| Detected Language | English |
| Type | Text, Thesis/Dissertation |
| Rights | For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use. |
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