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. |
Page generated in 0.1613 seconds