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Fibonacci numbers, Lucas numbers and integrals of certain Gaussian processes |
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| Authors: | Ludwig Baringhaus |
| Institution: | Institut für Mathematische Stochastik, Universität Hannover, D-30167 Hannover, Germany |
| Abstract: | We study the distributions of integrals of Gaussian processes arising as limiting distributions of test statistics proposed for treating a goodness of fit or symmetry problem. We show that the cumulants of the distributions can be expressed in terms of Fibonacci numbers and Lucas numbers. |
| Keywords: | Gaussian processes Fibonacci numbers Lucas numbers integral equations empirical Fourier transform testing for normality testing for symmetry |
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