A KEY RENEWAL THEOREM FOR HEAVY TAIL DISTRIBUTIONS WITH β ∈ (0, 0.5]

V. VATUTIN; V. TOPCHII

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A KEY RENEWAL THEOREM FOR HEAVY TAIL DISTRIBUTIONS WITH β ∈ (0, 0.5]

机译：β∈（0，0.5]的重尾分布的关键更新定理

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摘要

An asymptotic behavior of increments of the renewal functions generated by the distributions with tails varying at ±∞ regularly with index β ∈ (0,0.5] is investigated.

机译：研究了由尾部以±∞有规律地变化且索引为β∈（0,0.5]的分布产生的更新函数增量的渐近行为。

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《Theory of probability and its applications》 |2013年第2期|共10页
作者
V. VATUTIN; V. TOPCHII;
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正文语种 eng
中图分类概率论与数理统计;
关键词
increments of renewal function; infinite mean; stable law on the real line; nonlattice distribution; regularly varying functions;

机译：更新函数的增量;无限均值;实线上的稳定定律;非晶格分布;规则变化的函数;

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专利

1. A KEY RENEWAL THEOREM FOR HEAVY TAIL DISTRIBUTIONS WITH β ∈ (0, 0.5] [J] . V. VATUTIN, V. TOPCHII Theory of probability and its applications . 2013,第2期

机译：β∈（0，0.5]的重尾分布的关键更新定理
2. From the central limit theorem to heavy-tailed distributions [J] . Chen JW. Journal of Applied Probability . 2003,第3期

机译：从中心极限定理到重尾分布
3. On a random-coefficient AR(1) process with heavy-tailed renewal switching coefficient and heavy-tailed noise [J] . Leipus R, Paulauskas V, Surgailis D Journal of Applied Probability . 2006,第2期

机译：具有重尾更新切换系数和重尾噪声的随机系数AR（1）过程
4. Heavy-tailed distributions and multi-keyword queries [C] . Surajit Chaudhuri, Kenneth Church, Arnd Christian Konig, SIGIR 2007 Proceedings . 2007

机译：重尾分布和多关键字查询
5. A contribution to the estimation of the tail index of heavy-tailed distributions. [D] . Sousa, Bruno C. 2002

机译：有助于估计重尾分布的尾部指数。
6. Discriminating between Light- and Heavy-Tailed Distributions with Limit Theorem [O] . Krzysztof Burnecki, Agnieszka Wylomanska, Aleksei Chechkin 2010

机译：用极限定理区分轻尾分布和重尾分布
7. On a random-coefficient AR(1) process with heavy-tailed renewal switching coefficient and heavy-tailed noise [O] . Remigijus Leipus, Vygantas Paulauskas, Donatas Surgailis 2006

机译：在随机系数AR（1）过程中，具有重尾的更新切换系数和重尾噪声

A KEY RENEWAL THEOREM FOR HEAVY TAIL DISTRIBUTIONS WITH β ∈ (0, 0.5]

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