二次线束桥
Bridges of quadratic harnesses
摘要:
二次线束通常是具有时间相关状态空间的非齐次马尔可夫过程。使用适当定义的仿射变换,我们表明,一个给定的二次线束的所有桥梁可以转换成其他标准的二次线束。相反,每个这样的桥是标准二次线束的仿射变换。我们描述二次线束,对应的桥梁的一些利维过程。我们确定所有的二次线束,可能会产生拼接在一起的一对q-Meixner过程。
英文摘要:
Quadratic harnesses are typically non-homogeneous Markov processes with time-dependent state space. Using an appropriately defined affine transformation we show that all bridges of a given quadratic harness can be transformed into other standard quadratic harnesses. Conversely, each such bridge is an affine transformation of a standard quadratic harness. We describe quadratic harnesses that correspond to bridges of some Levy processes. We determine all quadratic harnesses that may arise from stitching together a pair of q-Meixner processes.
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