Abstract It may be thought that the topic of the title of this paper would have been exhausted by now but apparently not. In this note, we lay out both existing and unfamiliar simple functions of independent beta-distributed random variables that themselves follow beta distributions, and explore a number of extensions, generalizations and examples thereof.

中文翻译：

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遵循 Beta 分布的独立 Beta 随机变量的简单函数

摘要 可以认为，这篇论文的标题主题现在已经用完了，但显然没有。在本说明中，我们列出了独立 β 分布随机变量的现有和不熟悉的简单函数，这些随机变量本身遵循 β 分布，并探索了一些扩展、概括和示例。