Level crossings of a random polynomial with hyperbolic elements
نویسندگان
چکیده
منابع مشابه
Level Crossings of a Random Polynomial with Hyperbolic Elements
This paper provides an asymptotic estimate for the expected number of AMevel crossings of a random hyperbolic polynomial gi cosh x + g2 cosh 2x + ■ ■ ■ + g„ cosh nx , where g¡ (j = 1, 2,..., n) are independent normally distributed random variables with mean zero, variance one and K is any constant independent of x . It is shown that the result for K = 0 remains valid as long as K = K„ = 0{s/n).
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1995
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1995-1264810-1