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A New Test For Normality, Richard Leroy Roller
A New Test For Normality, Richard Leroy Roller
All Master's Theses
This paper presents a new test for normality which is based on a complete characterization of the normal distribution. Motivation for the test is given in terms of a proof of this characterization. The test is derived and evaluated by computer-simulated sampling from alternative distributions. The empirical powers of the test generated from such samplings are tabled and compared to nine commonly used tests. Evaluation of the proposed test is discussed and further avenues of investigation are suggested.
Orthogonality In Normed Spaces, Martin R. Mccarthy
Orthogonality In Normed Spaces, Martin R. Mccarthy
All Master's Theses
This paper presents three definitions of orthogonality in normed spaces. Each definition is shown equivalent to the inner product being zero when restricted to an inner product space. The definitions arise from such properties in two space as the diagonals of a rectangle being equal and the Pythagorean Theorem. The third definition shows that the idea of an inner product can be generalized under certain conditions.