### Abstract

We study lower limits for the ratio F*t¯(x)/ F¯(x) of tail distributions, where F*t is a distribution of a sum of a random size t of independent identically distributed random variables having a common distribution F, and a random variable t does not depend on the summands. © 2008 Society for Industrial and Applied Mathematics.

Original language | English |
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Pages (from-to) | 690-699 |

Number of pages | 10 |

Journal | Theory of Probability and its Applications |

Volume | 52 |

Issue number | 4 |

DOIs | |

Publication status | Published - 2008 |

### Keywords

- Convolution tail
- Heavy-tailed and light-tailed distributions
- Lower limit
- Random sums of random variables

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## Cite this

Denisov, D. E., Korshunov, D. A., & Foss, S. G. (2008). Lower limits for distribution tails of randomly stopped sums.

*Theory of Probability and its Applications*,*52*(4), 690-699. https://doi.org/10.1137/S0040585X97983328