In the present paper, Probability weighted moments (PWMs) method for parameter estimation of the median based unit weibull (MBUW) distribution is discussed. The most widely used first order PWMs is compared with the higher order PWMs for parameter estimation of (MBUW) distribution. Asymptotic distribution of this PWM estimator is derived. This comparison is illustrated using real data analysis.

翻译：本文讨论了用于基于中位数的单位威布尔分布（MBUW）参数估计的概率加权矩（PWM）方法。将最广泛使用的一阶PWM与高阶PWM在MBUW分布参数估计中的表现进行了比较。推导了该PWM估计量的渐近分布。通过实际数据分析对比较结果进行了说明。