Level crossings and turning points of random hyperbolic polynomials
In this paper, we show that the asymptotic estimate for the expected number of K-level crossings of a random hyperbolic polynomial a1sinhx+a2sinh2x+⋯+ansinhnx, where aj(j=1,2,…,n) are independent normally distributed random variables with mean zero and variance one, is (1/π)logn. This result is true...
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| Principais autores: | , |
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| Formato: | Artigo |
| Idioma: | Inglês |
| Publicado em: |
Wiley
1999-01-01
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| coleção: | International Journal of Mathematics and Mathematical Sciences |
| Assuntos: | |
| Acesso em linha: | http://dx.doi.org/10.1155/S0161171299225793 |
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