排序方式: 共有3条查询结果,搜索用时 15 毫秒
1
1.
Shmerling Efraim Hochberg Kenneth J. 《Methodology and Computing in Applied Probability》2004,6(2):203-218
The problem of finding the probability distribution of the number of zeros in some real interval of a random polynomial whose coefficients have a given continuous joint density function is considered. An algorithm which enables one to express this probability as a multiple integral is presented. Formulas for the number of zeros of random quadratic polynomials and random polynomials of higher order, some coefficients of which are non-random and equal to zero, are derived via use of the algorithm. Finally, the applicability of these formulas in numerical calculations is illustrated. 相似文献
2.
Translated from Statisticheskie Metody Otsenivaniya i Proverki Gipotez, pp. 110–120, 1984. 相似文献
3.
Efraim Shmerling Kenneth J. Hochberg 《Proceedings of the American Mathematical Society》2002,130(9):2761-2770
We derive several new results on the asymptotic behavior of the roots of random polynomial equations, including conditions under which the distributions of the zeros of certain random polynomials tend to the uniform distribution on the circumference of a circle centered at the origin. We also derive a probabilistic analog of the Cauchy-Hadamand theorem that enables us to obtain the radius of convergence of a random power series. 相似文献
1