论文标题

哪个Urbanik类$ L_K $,双曲线和广义逻辑特征属性属于?

Which Urbanik class $L_k$, do the hyperbolic and the generalized logistic characteristic functions belong to?

论文作者

Jurek, Zbigniew J.

论文摘要

从一系列拉普拉斯(双重指数)变量获得的自定义变量是本研究的对象。我们证明了双曲线丝和双曲线骨变量在Urbanik类的差异$ L_2 $和$ L_3 $的差异,而通用的Logistic变量至少在Urbanik类$ L_1 $中。因此,那些相应的自我分配特征函数的某种比率再次可以自我分配。

Selfdecomposable variables obtained from series of Laplace (double exponential) variables are objects of this study. We proved that hyperbolic-sine and hyperbolic-cosine variables are in the difference of the Urbanik classes $L_2$ and $L_3$ while generalized logistic variable is at least in the Urbanik class $L_1$. Hence some ratios of those corresponding selfdecomposable characteristic functions are again selfdecomposable.

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