TIME-SERIES ANALYSIS VIA RANK ORDER THEORY - SIGNED-RANK TESTS FOR ARMA MODELS

被引:32
作者
HALLIN, M [1 ]
PURI, ML [1 ]
机构
[1] INDIANA UNIV,BLOOMINGTON,IN 47401
关键词
SIGNED RANKS; SERIAL RANK STATISTICS; ARMA MODELS; ASYMPTOTIC RELATIVE EFFICIENCY; LOCALLY ASYMPTOTICALLY OPTIMAL TESTS;
D O I
10.1016/0047-259X(91)90002-J
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
An asymptotic distribution theory is developed for a general class of signed-rank serial statistics, and is then used to derive asymptotically locally optimal tests (in the maximin sense) for testing an ARMA model against other ARMA models. Special cases yield Fisher-Yates, van der Waerden, and Wilcoxon type tests. The asymptotic relative efficiencies of the proposed procedures with respect to each other, and with respect to their normal theory counterparts, are provided. © 1991.
引用
收藏
页码:1 / 29
页数:29
相关论文
共 42 条
[41]   LIMITING BEHAVIOR OF U-STATISTICS FOR STATIONARY, ABSOLUTELY REGULAR PROCESSES [J].
YOSHIHARA, K .
ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1976, 35 (03) :237-252
[42]  
[No title captured]