Analytic and asymptotic properties of generalized Linnik probability densities (Q1378640)

From MaRDI portal





scientific article; zbMATH DE number 1115486
Language Label Description Also known as
English
Analytic and asymptotic properties of generalized Linnik probability densities
scientific article; zbMATH DE number 1115486

    Statements

    Analytic and asymptotic properties of generalized Linnik probability densities (English)
    0 references
    24 March 1998
    0 references
    The authors study the analytic and asymptotic properties of distributions with characteristic function \[ \varphi_{\alpha,\theta,\nu}(t)= (1+ \exp(-i\theta\text{ sgn }t)| t|^\alpha)^{-\nu},\quad \alpha\in(0,2), |\theta|\leq \min(\pi\alpha/2, \pi(1-\alpha/2)),\;\nu>0. \]
    0 references
    generalized Linnik distribution
    0 references
    asymptotic properties of distributions
    0 references
    characteristic function
    0 references
    0 references
    0 references

    Identifiers