关于多重循环秩集抽样下正确排序的一种秩检验方法(英文)  

A rank method for testing perfect ranking in multi-cycle ranked set sampling

作　　者：赵媛媛[1,2] 吴耀华[1] 毛甜甜[1] 

机构地区：[1]中国科学技术大学统计与金融系,安徽合肥230026 [2]南京师范大学数学科学学院,江苏南京210046

出　　处：《中国科学技术大学学报》2012年第11期885-889,902,共6页JUSTC

基　　金：Supported by National Science Foundation of China(10871188)

摘　　要：研究了关于多重循环秩集抽样下正确排序的一般检验方法,详细讨论了3个合理的检验统计量N1m,S1m和A1m,并推导出了其在原假设成立条件下的精确分布.当n1=n2=…=nk=1时,结果和文献[Li T,Balakrishnan N.Some simple nonparametric methods to test for perfect ranking in ranked set sampling.Journal of Statistical Planning and Inference,2008,138:1 325-1 338]是一致的.A general construction for testing perfect ranking in multi-cycle ranked set sampling （RSS） was investigated. Three reasonable rank statistics denoted by NT, ST and AT were discussed comprehensively and their exact null distributions were derived on multi-cycle RSS. When nl =n2 nk ：1, the results are identical with those of Ref. ELi T, Balakrishnan N. Some simple nonparametric methods to test for perfect ranking in ranked set sampling. Journal of Statistical Planning and Inference, 2008, 138：1 325-1 338].

关 键 词：秩集抽样 正确排序 秩统计量 

分 类 号：O212.7[理学—概率论与数理统计]