Fourier analysis of random sequences
C. Lanczos,B. Gellai +1 more
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In this article, computer-generated random sequences were submitted to a Fourier analysis, and ideal noise patterns were obtained, which were analyzed statistically, but the distribution of the phase angle was not uniform over the circle and some Bald patches remained.Abstract:
Computer-generated random sequences were submitted to a Fourier analysis. The distribution of the phase angle was not uniform over the circle, but some “bald patches” remained. The Fourier analysis itself allows the construction of ideal random sequences. For an “ideal white noise” the amplitudes were chosen as one, whereas the phase angles were uniformly distributed. For an “ideal random noise” both phase angles and amplitudes were uniformly distributed. Thus, ideal noise patterns were obtained which were analysed statistically.read more
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An Analysis of Variance Test for Normality (Complete Samples)
S. S. Shapiro,M. B. Wilk +1 more
TL;DR: In this article, a new statistical procedure for testing a complete sample for normality is introduced, which is obtained by dividing the square of an appropriate linear combination of the sample order statistics by the usual symmetric estimate of variance.
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A Convenient Method for Generating Normal Variables
George Marsaglia,T. A. Bray +1 more
TL;DR: In this article, a normal random variable X may be generated in terms of uniform random variables (i.e., X = 2(u_1+ u_2 + u_3 - 1.5) ), in 86 percent of the time.