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N1^m,S1^m和A1^m,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.
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].