论文标题
订单$ k $的下属复合泊松过程
Subordinated Compound Poisson processes of order $k$
论文作者
论文摘要
在本文中，引入了$ k $（CPPOK）的复合泊松过程，并讨论了其属性。此外，研究了两个具有各种分布特性的下属CPPOK的钢化稳定下属（MTSS）的混合物及其右连续反向。还表明，可以获得CPPOK和PPOK的空间和钢化空间分数版本，从而概括了文献中的结果。
In this article, the compound Poisson processes of order $k$ (CPPoK) is introduced and its properties are discussed. Further, using mixture of tempered stable subordinator (MTSS) and its right continuous inverse, the two subordinated CPPoK with various distributional properties are studied. It is also shown that space and tempered space fractional versions of CPPoK and PPoK can be obtained, which generalize the results in the literature.
