Fibonacci numbers, Lucas numbers and integrals of certain Gaussian processes

Baringhaus, Ludwig

doi:10.1090/S0002-9939-96-03691-X

Fibonacci numbers, Lucas numbers and integrals of certain Gaussian processes
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by Ludwig Baringhaus

Proc. Amer. Math. Soc. 124 (1996), 3875-3884

DOI: https://doi.org/10.1090/S0002-9939-96-03691-X

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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.

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