散粒噪声分布和自分解性
Shot noise distributions and selfdecomposability
摘要：
散粒噪声过程的平稳（限制）分布，与指数响应函数，形成一个大的子类的积极selfdecomposable分布，我们说明了许多例子。这些散粒噪声分布通过其分布函数在零点处的规则变化来描述。然而，（绝对连续的）分布函数的原点的缓慢变化与自分解性是不相容的，这在三个例子中示出。
英文摘要：
Stationary (limiting) distributions of shot noise processes, with exponential response functions, form a large subclass of positive selfdecomposable distributions that we illustrate by many examples. These shot noise distributions are described among selfdecomposable ones via the regular variation at zero of their distribution functions. However, slow variation at the origin of (an absolutely continuous) distribution function is incompatible with selfdecomposability and this is shown in three examples.
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