Fibonacci numbers, Lucas numbers and integrals of certain Gaussian processes-Reference-Cited by-同舟云学术

Fibonacci numbers, Lucas numbers and integrals of certain Gaussian processes

Published:1996 Issue:12 Volume:124 Page:3875-3884
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Baringhaus Ludwig

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1996-124-12/S0002-9939-96-03691-X/S0002-9939-96-03691-X.pdf

Reference12 articles.

1. National Bureau of Standards Applied Mathematics Series, No. 55;Abramowitz, Milton,1964

2. Wiley Series in Probability and Mathematical Statistics;Araujo, Aloisio,1980

3. A consistent test for multivariate normality based on the empirical characteristic function;Baringhaus, L.;Metrika,1988

4. Multivariate empirical characteristic functions;Csörgő, Sándor;Z. Wahrsch. Verw. Gebiete,1981

5. On Frobeniusean algebras. I;Nakayama, Tadasi;Ann. of Math. (2),1939

Cited by 10 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Bahadur efficiency for certain goodness-of-fit tests based on the empirical characteristic function;Metrika;2022-12-26

2. On the eigenvalues associated with the limit null distribution of the Epps-Pulley test of normality;Statistical Papers;2022-07-05

3. On energy tests of normality;Journal of Statistical Planning and Inference;2021-07

4. Generalized Fibonacci Numbers, Cosmological Analogies, and an Invariant;Symmetry;2021-01-26

5. Comments on: Tests for multivariate normality—a critical review with emphasis on weighted $$L^2$$-statistics;TEST;2020-12