The inverses of thinned renewal processes
The inverses of thinned renewal processes
复制标题
稀疏更新过程的逆过程
DOI：
10.2307/3214304
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发表时间：
1988
影响因子：
1
通讯作者：
Nikos Yannaros
中科院分区：
文献类型：
--
作者：
Nikos Yannaros
研究了p-稀疏更新过程的逆类。它表明，这类更新过程。它由考克斯和更新过程组成当且仅当给定的稀疏过程是考克斯和更新过程。在非Cox情形下，存在唯一的顶部更新过程，通过细化生成所有可能的逆。给出了更新过程成为top过程的条件。最后，证明了当α > 1时，Gamma更新过程是一个top过程，其中α是Gamma分布的形状参数.
The class of inverses of a p-thinned renewal process is considered. It is shown that this class consists of renewal processes. It consists of Cox and renewal processes if and only if the given thinned process is Cox and renewal. In the non-Cox case, there exists a unique top renewal process, which by thinning generates all the possible inverses. Conditions for a renewal process to be a top process are given. Finally, a gamma renewal process is shown to be a top process when α > 1, where α is the shape parameter of the gamma distribution.