In this paper, we propose a novel probability distribution that asymptotically represents a power-law, ψ ( t ) ∼ t − α −1 , with 0 < α < 2. The main feature of the distribution is that it has a simple expression in the Laplace transform representation, making it suitable for performing calculations in stochastic processes, particularly non-Poissonian processes.

中文翻译：

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简单的拉普拉斯变换进行分布及其在非泊松随机过程中的应用

在本文中，我们提出了一种新的概率分布，它渐近地表示幂定律ψ（t）〜t-α-1，且0 <α<2。分布的主要特征是在... Laplace变换表示形式，使其适合于在随机过程（尤其是非泊松过程）中执行计算。