题目：Generalized shock models based on a cluster point process

        作者：

Jian-Ming Bai（k9导福航网站入囗/ Lanzhou University）

Ze-Hui Li（k9导福航网站入囗/ Lanzhou University）

             Xin-Bing Kong（k9导福航网站入囗/ Lanzhou University）

         期刊：

             IEEE TRANSACTIONS ON RELIABILITY（影响因子2.79）

             Volume: 55 Issue: 3，September 2006，Page(s):  542 - 550

         英文摘要：

We review the principal progress of shock models during the last three decades. Our new model, the delta-shock model, and its latest developments are also introduced. Furthermore, for adapting shock models to a wider reliability field, we put forward a generalized framework for studying shock models, based on cluster point processes with cluster marks. In addition, we provide a noteworthy case under this framework as a concrete example in reliability with an insurance background, and give the asymptotic distribution of the risk process.

        中文摘要：

本文回顾了最近三十年冲击模型研究的主要进展，介绍了我们提出的一个新模型（δ-冲击模型）及其最新成果。此外，我们基于簇生点过程，建立了冲击模型的一般化框架，该框架有利于描述和适应更为广泛的可靠性背景。最后，我们在上述框架下讨论了一个值得关注的应用案例，即保险风险背景下的可靠性问题，并给出了风险过程的渐近分布结果。

网址链接：http://ieeexplore.ieee.org/document/1688091/

doi：https://doi.org/10.1109/TR.2006.879661