We study lower limits for the ratio $\overline{F^{*\tau}}(x)/\,\overline F(x)$ of tail distributions, where $F^{*\tau}$ is a distribution of a sum of a random size $\tau$ of independent identically distributed random variables having a common distribution $F$, and a random variable $\tau$ does not depend on the summands
Abstract: This paper presents some limit theorems for arbitrary continuous random sequence, like man...
We consider the tail behavior of random variablesRwhich are solutions of the distributional equation...
We consider a distribution equation which was initially studied by Bertoin \cite{Bertoin}: \[M \stac...
We study lower limits for the ratio $\overline{F^{*\tau}}(x)/\,\overline F(x)$ of tail distributions...
For a distribution F ∗τ of a random sum Sτ = ξ1 +... + ξτ of i.i.d. random variables with a common d...
The research on asymptotic behavior of distributions of the sum of i.i.d random variables has a long...
The tail of the distribution of a sum of a random number of independent and identically distributed ...
We study conditions under which P{Sτ > x} ∼ P{Mτ > x} ∼ EτP{ξ1 > x} as x → ∞, where Sτ is a...
AbstractLet X1, X2,…, Xn be n independent, identically distributed, non negative random variables an...
Let X1, X2,…, Xn be n independent, identically distributed, non negative random variables and put an...
Let $(\xi_k)_{k\geq1}$ be an i.i.d. sequence of positive random variables with $O$-varying distribut...
Abstract: This paper presents some limit theorems for arbitrary continuous random sequence, like man...
We consider the tail behavior of random variablesRwhich are solutions of the distributional equation...
We consider a distribution equation which was initially studied by Bertoin \cite{Bertoin}: \[M \stac...
We study lower limits for the ratio $\overline{F^{*\tau}}(x)/\,\overline F(x)$ of tail distributions...
For a distribution F ∗τ of a random sum Sτ = ξ1 +... + ξτ of i.i.d. random variables with a common d...
The research on asymptotic behavior of distributions of the sum of i.i.d random variables has a long...
The tail of the distribution of a sum of a random number of independent and identically distributed ...
We study conditions under which P{Sτ > x} ∼ P{Mτ > x} ∼ EτP{ξ1 > x} as x → ∞, where Sτ is a...
AbstractLet X1, X2,…, Xn be n independent, identically distributed, non negative random variables an...
Let X1, X2,…, Xn be n independent, identically distributed, non negative random variables and put an...
Let $(\xi_k)_{k\geq1}$ be an i.i.d. sequence of positive random variables with $O$-varying distribut...
Abstract: This paper presents some limit theorems for arbitrary continuous random sequence, like man...
We consider the tail behavior of random variablesRwhich are solutions of the distributional equation...
We consider a distribution equation which was initially studied by Bertoin \cite{Bertoin}: \[M \stac...
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