Call for Papers : Volume 15, Issue 09, September 2024, Open Access; Impact Factor; Peer Reviewed Journal; Fast Publication

Natural   Natural   Natural   Natural   Natural  

Numerically evaluated number of level crossings of A random algebraic polynomial

We study the expected number of real zeros of an algebraic polynomial of degree n, whose coefficients are independent Cauchy distributed random variables. We present a formula for the expected number, which has the advantage of being easy to use numerically. This approach shows that the error term involved in the asymptotic estimate for the expected number of real zeros with this class of distribution for the coefficients is 0(1).

Author: 
Dr. Mishra, P.K. and Dipty Rani Dhal
Download PDF: 
Journal Area: 
None