The level crossings of random polynomials

被引：1
|
作者：
Farahmand, K
机构：
[1] Department of Mathematics, University of Ulster, Jordanstown, Co.
来源：
APPLIED MATHEMATICS LETTERS | 1996年 / 9卷 / 01期
关键词：
D O I：
10.1016/0893-9659(95)00096-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The present paper investigates the properties of the expected number of real zeros and K-level crossings of random trigonometric polynomials a(1) sin theta + a(2) sin 2 theta +...+ a(n) sin n theta, where a(j), j = 1, 2,..., n are independent normally distributed random variables. It is shown that the result for K = 0 remains valid for any K such that K = O(n(a)) where 0 less than or equal to alpha < 1/2 is a constant.
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页码：19 / 25
页数：7
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