关于多重循环秩集抽样下正确排序的一种秩检验方法

摘要

A general construction for testing perfect ranking in multi-cycle ranked set sampling (RSS) was investigated.Three reasonable rank statistics denoted by Nm1,Sm1 and Am1 were discussed comprehensively and their exact null distributions were derived on multi-cycle RSS.When n1 =n2 =…=nk =1,the results are identical with those of Ref.[Li T,Balakrishnan N.Some simple nonparametric methods to test for perfect ranking in ranked set sampling.Journal of Statistical Planning and Inference,2008,138:1325-1338].%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Nm1,Sm1和Am1,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,2008,138:1325-1338]是一致的.