|
|||||
|
|
Fibonacci numbers, Lucas numbers and integrals of certain Gaussian processes |
|
| Authors: | Ludwig Baringhaus |
| Affiliation: | 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 |
| 点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息 | |
| 点击此处可从《Proceedings of the American Mathematical Society》下载全文 | |