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

来源：

JOURNAL OF MULTIVARIATE ANALYSIS | 1991年 / 39卷 / 01期

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

页码：1 / 29

页数：29

共 42 条

[1]

BARTELS R, 1982, J AM STAT ASSOC, V77, P40, DOI 10.2307/2287767

[2]

BHATTACHARYYA GK, 1984, HDB STATISTICS, V4, P89

[3]

Box GEP., 1970, J AM STAT ASSOC, V65, P1509, DOI DOI 10.1080/01621459.1970.10481180

[4] ON THE 1ST-ORDER AUTOREGRESSIVE PROCESS WITH INFINITE VARIANCE [J].

CHAN, NH ;

TRAN, LT .

ECONOMETRIC THEORY, 1989, 5 (03) :354-362

[5] LIMIT THEORY FOR THE SAMPLE COVARIANCE AND CORRELATION-FUNCTIONS OF MOVING AVERAGES [J].

DAVIS, R ;

RESNICK, S .

ANNALS OF STATISTICS, 1986, 14 (02) :533-558

[6]

Dufour J.-M., 1981, Journal of Time Series Analysis, V2, P117, DOI 10.1111/j.1467-9892.1981.tb00317.x

[7]

DUFOUR JM, 1990, IN PRESS J ECONOMETR

[8]

DUFOUR JM, 1990, RUNS TESTS ARMA DEPE

[9]

DUFOUR JM, 1982, CANAD J STATIST, V10, P1, DOI DOI 10.2307/3315073

[10]

DUFOUR JM, 1987, ANN EC STATIST, V6, P411

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