异构型样本次序统计量的排序性质——2013年至今的研究进展及展望

Ordering Properties of Order Statistics From Heterogeneous Samples.A Literature Review Since 2013 and Prospects of Future Study

本文系统综述2013年至今来自独立、相依异构型样本的次序统计量随机比较的研究进展,样本总体包括比例失效率模型、比例反失效率模型、尺度参数模型、形状参数模型(伽马分布、布尔分布、贝塔分布)及若干其它分布模型等,研究结果涉及独立或相依样本的最大、第二大、第二小及最小次序统计量.在此基础上提出进一步的研究展望.

This paper systematically reviews the development since 2013 of stochastic comparisons for order statistics from independent or dependent heterogeneous samples.Sample populations include proportional hazard model,proportional reversed hazard model,scale model,shape parameter model(Gamma distribution,Burr distribution,Beta distribution)and several other distribution models.The research findings cover the largest,the second largest,the second smallest and the smallest order statistics.Furthermore,prospects of future study on stochastic comparison on order statistics are highlighted.