We study the high order equilibrium distributions of a counting random variable. Properties such as moments, the probability generating function, the stop--loss transform and the mean residual lifetime, are derived. E...We study the high order equilibrium distributions of a counting random variable. Properties such as moments, the probability generating function, the stop--loss transform and the mean residual lifetime, are derived. Expressions are obtained for higher order equilibrium distribution functions under mixtures and convolutions of a counting distribution. Recursive formulas for higher order equilibrium distribution functions of the (a,b,0) -family of distributions are given.展开更多
为提高雷达在非高斯杂波背景下的检测性能,基于球不变随机过程模型和似然比检测准则,给出了一种相关W e ibu ll分布杂波背景中目标的检测方法。首先从理论上导出了基于球不变随机过程的W e ibu ll分布模型,然后在似然比意义下给出了W e ...为提高雷达在非高斯杂波背景下的检测性能,基于球不变随机过程模型和似然比检测准则,给出了一种相关W e ibu ll分布杂波背景中目标的检测方法。首先从理论上导出了基于球不变随机过程的W e ibu ll分布模型,然后在似然比意义下给出了W e ibu ll分布杂波背景下的检验统计量。展开更多
文摘We study the high order equilibrium distributions of a counting random variable. Properties such as moments, the probability generating function, the stop--loss transform and the mean residual lifetime, are derived. Expressions are obtained for higher order equilibrium distribution functions under mixtures and convolutions of a counting distribution. Recursive formulas for higher order equilibrium distribution functions of the (a,b,0) -family of distributions are given.
