论文标题
在Beta正态分布的某些属性上
On Some Properties of the Beta Normal Distribution
论文作者
论文摘要
Beta正态分布是正态分布和正常顺序统计数据的概括。文献中已经研究了其一些数学属性和一些应用程序。我们为某些属性和对其双峰性的分析研究提供了更好的基础。检查危险率功能和限制行为。我们通过使用分位数功能的功率系列扩展和香农熵来得出矩，生成函数，平均偏差的明确表达式。
The beta normal distribution is a generalization of both the normal distribution and the normal order statistics. Some of its mathematical properties and a few applications have been studied in the literature. We provide a better foundation for some properties and an analytical study of its bimodality. The hazard rate function and the limiting behavior are examined. We derive explicit expressions for moments, generating function, mean deviations using a power series expansion for the quantile function, and Shannon entropy.
