Journal of Engineering Mathematics & Statistics

Authors:- Vidyut Kulkarani, Shivansh Chauhan

Abstract:- The predicted number of level crossings of an algebraic polynomial of degree n with independent distributed random variables as coefficients is investigated. We offer a formula for the anticipated number that has the virtue of being numerically simple. This method demonstrates that the error term in the asymptotic estimate for the anticipated number of real zeros with this type of distribution for the coefficients is equal to zero (1).

1991 Mathematics subject classification (amer. Math. Soc.): 60 B 99.

Keywords:- identically distributed random variables, Independent, Random algebraic polynomial, random algebraic equation, real roots, domain of attraction of the normal law, slowly varying function.