The Laplace Distribution and Generalizations
The Laplace Distribution and Generalizations
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DOI：
10.1007/978-1-4612-0173-1
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发表时间：
2012-11
期刊：
影响因子：
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通讯作者：
S. Kotz;T. Kozubowski;K. Podgórski
中科院分区：
文献类型：
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作者：
S. Kotz;T. Kozubowski;K. Podgórski
这本专著的目的是相当温和的：它试图是一个系统的阐述所有出现在文献中，并为我们所知的世纪结束时约拉普拉斯分布及其众多的推广和扩展。我们试图涵盖理论发展和应用。写这本书有两个主要原因。首先，我们确信，自然发生拉普拉斯分布的区域和情况是如此广泛，以至于追踪原始来源是不可行的。第二个是我们观察到，人们越来越需要具有与拉普拉斯定律相切的特性的统计分布。这两个”必要”条件证明了我们为完成本书所做的努力是正确的。许多细节主要是为了参考而安排的，例如包括最常用的术语和符号。在一些情况下，我们提出了统一的建议，以克服这一领域经常出现的概念模糊不清的问题。个人品味可能会因为篇幅限制而忽略或强调某些主题，从而对主题造成一些不公正。我们相信这一特点并不构成严重的缺点-在我们的文献检索中，我们试图不遗余力（我们收集了400多篇参考文献）。
The aim of this monograph is quite modest: It attempts to be a systematic exposition of all that appeared in the literature and was known to us by the end of the 20th century about the Laplace distribution and its numerous generalizations and extensions. We have tried to cover both theoretical developments and applications. There were two main reasons for writing this book. The first was our conviction that the areas and situations where the Laplace distribution naturally occurs is so extensive that tracking the original sources is unfeasible. The second was our observation of the growing demand for statistical distributions having properties tangent to those exhibited by the Laplace laws. These two" necessary" conditions justified our efforts that led to this book. Many details are arranged primarily for reference, such as inclusion of the most commonly used terminology and notation. In several cases, we have proposed unification to overcome the ambiguity of notions so often present in this area. Personal taste may have done some injustice to the subject matter by omitting or emphasizing certain topics due to space limitations. We trust that this feature does not constitute a serious drawback-in our literature search we tried to leave no stone unturned (we collected over 400 references).