Some characteristic functions of unimodal distributions

Properties of Unimodal Distributions and Some of Their Applications

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Computability of Probability Distributions and Characteristic Functions

As a part of our works on effective properties of probability distributions, we deal with the corresponding characteristic functions. A sequence of probability distributions is computable if and only if the corresponding sequence of characteristic functions is computable. As for the onvergence problem, the effectivized Glivenko’s theorem holds. Effectivizations of Bochner’s theorem and de Moivr...

Some characteristic properties of analytic functions

In this paper, we consider a class L (λ, μ;φ) of analytic functions f defined in the open unit disk U satisfying the subordination condition that q(z) Df(z) Dλf(z) ≺ φ(z) (λ ∈ N0, μ ≥ 0; z ∈ U), where q(z) = ( z Dλf(z) )μ−2 , D is the Sălăgean operator and φ(z) is a convex function with positive real part in U. We obtain some characteristic properties giving the coefficient inequality, radius a...

Some Distributions Involving Bessel Functions

Characteristic functions of scale mixtures of multivariate skew-normal distributions