可用于分析非负数据的指数削减半正态分布（英文）

An Exponential Slash Half Normal Distribution for Analyzing Nonnegative Data

本文研究了一种可用于分析非负数据的新的分布族.它用一个随机表示来定义,是一个半正态随机变量与一个指数随机变量的幂的混合.其密度函数和性质,包括风险函数,矩和矩母函数被导出.该分布族的实用性和灵活性通过一个实例用最大似然程序被阐明.

A new class of slash distribution is studied for analyzing nonnegative data. This distribution is defined by means of a stochastic representation as the mixture of a half normal random variable with the power of an exponential random variable. Density function and properties involving haz- ard function, moments and moment generating function are derived. The usefulness and flexibility of the proposed distribution are illustrated through a real application by maximum likelihood pro-cedure.