G. P. Chistyakov, “The exact-order estimates of decompositional stability of Linnik's <nobr>$\mathfrak{L}$</nobr> class distributions”, Teor. Veroyatnost. i Primenen., 1994, Volume 39, Issue 2,Pages <nobr>438

Short Communications

The exact-order estimates of decompositional stability of Linnik's $\mathfrak{L}$ class distributions

G. P. Chistyakov

Institute for Low Temperature Physics and Engineering, Ukraine Academy of Sciences

Abstract: The exact-order estimates of decompositional stability in the Lévy metric were established for the distribution functions with Gaussian component from wide subclasses of Linnik's class $\mathfrak{L}$.

Keywords: estimates of decompositional stability of distribution functions, Lévy metric, Linnink's class $\mathfrak{L}$ of distribution functions, Dirichlet series, maximal term, central index of the Dirichlet series.

Received: 02.10.1993