逆韦布尔分布下n中取k系统的随机比较

On Stochastic Comparisons of k-out-of-n Systems with Inverse Weibull Distribution

研究了元件寿命服从特征寿命参数不同,形状参数相同的逆威布尔分布下,两个由独立元件构成的串联系统分散序的随机比较问题,并给出元件特征寿命不同,形状参数相同(或不同)的逆威布尔分布下,两个由独立元件构成的并联系统在洛伦茨序、星序以及失效率序之间的随机比较.同时给出了满足各种随机序时其分布所含参数间的相应关系.

The article studies the random comparison of the dispersive order of two series systems composed of independent components under the inverse Weibull distribution with different characteristic life parameters and the same shape parameter.Under the different inverse Weibull distribution,the random comparison between the Lorenz order,the star order,and the hazard rate order of two parallel systems composed of independent components have been presented.At the same time,the corresponding relations between the parameters contained in the distribution when satisfying various random orders are given.