Abstract: The Cramer-Rao lower bound (CRLB) is widely used in statistical signal processing as a benchmark to evaluate unbiased estimators. However, for some random variables, the probability density ...

Many attempts have been made to derive a simple expression for the characteristic function of the lognormal distribution. This would be useful for computing the sum of lognormal variables, either with ...

In this paper, the characteristic function method is applied to seek traveling wave solutions of nonlinear partial differential equations in a unified way. We consider the Wu-Zhang equation (which ...

Abstract: A new synthesis method for the generation of the generalized Chebyshev characteristic polynomials has been presented. The general characteristic function is generated by linear combination ...

Densities for the angle Θ = uX(mod 2π) and the cosine $Y = \cos(uX)$ can be expressed, through Fourier methods, in terms of the characteristic function of X. Thus ...

This paper is concerned with the following question: if a characteristic function satisfies a certain property at the origin, what can be said about its behavior on ...