This note provides some new inequalities and approximations for beta distributions, including exponential tail inequalities, inequalities of Hoeffding and Bernstein type, and Gaussian tail inequalities and approximations. Some of the results are extended to Gamma distributions.

翻译：本说明为乙型六氯环己烷分布提供了一些新的不平等和近似值,包括指数尾部不平等、Hoffding和Bernstein类型的不平等以及Gaussian尾部不平等和近似值,其中一些结果扩大到Gamma分布。