Date of Award
Master of Science (MS)
Mathematics and Statistics
The object of this report is an investigation of statistical independence and linear coordinate systems. It is hoped that this report will give some background for an ultimate investigation of independence and nonlinear coordinate systems using tensor analysis.
An additional basic objective is to obtain explicit algebraic expressions for different types of linear trans- formations.
The first concepts to be covered are arbitrary linear transformations, various ways of looking at linear transformations, and the effects of a linear transformation on a vector of normally distributed random variables.
Next orthogonal transformations to independence, and then oblique transformations to independence will be developed in turn.
McDonald, James B., "Linear Coordinate Systems and Statistical Independence and Vector Spaces and Linear Statistical Models" (1967). All Graduate Plan B and other Reports, Spring 1920 to Spring 2023. 1113.
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