THE ANALYSIS OF INDEXED ASTRONOMICAL TIME-SERIES .1. BASIC METHODS

被引：41

作者：

KOEN, C ^{[1
]}

LOMBARD, F ^{[1
]}

机构：

[1] RAND AFRIKAANS UNIV,DEPT STAT,JOHANNESBURG 2000,SOUTH AFRICA

来源：

MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY | 1993年 / 263卷 / 02期

关键词：

METHODS-DATA ANALYSIS; METHODS-STATISTICAL;

D O I：

10.1093/mnras/263.2.287

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The application of autoregressive moving-average (ARMA) modelling to discrete time or indexed data is discussed. An essential tool is the autocorrelation function, and its utility is demonstrated with some examples. Extensions of the ARMA models to include non-stationarity are described; variability in both the series mean and the ARMA coefficients can be dealt with by recursively calculated or 'state space' models. A number of tests for non-stationarity of the series mean are described in detail. Particular attention is devoted to the effects of serial dependence of the data. A problem with the O - C (observed - calculated) method as traditionally used in astronomy is pointed out. Non-stationarity in the data variance and the identification of outlying observations are dealt with at some length. Tests designed to discriminate between different outlier types are described. Brief mention is made of a few other important topics, particularly non-linearity and data transformation.

引用

页码：287 / 308

页数：22

共 55 条

[1]

[Anonymous], 1977, J ROY STAT SOC, DOI DOI 10.2307/2346968

[2]

[Anonymous], 1989, BAYESIAN FORECASTING

[3] Properties of sufficiency and statistical tests [J].

Bartlett, MS .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1937, 160 (A901) :0268-0282

[4]

Box G.E.P., 1976, TIME SERIES ANAL

[5]

Box G. E. P., 1979, ROBUSTNESS STAT, P202

[6] AN ANALYSIS OF TRANSFORMATIONS [J].

BOX, GEP ;

COX, DR .

JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-STATISTICAL METHODOLOGY, 1964, 26 (02) :211-252

[7] AN INTRODUCTION TO POLYSPECTRA [J].

BRILLINGER, DR .

ANNALS OF MATHEMATICAL STATISTICS, 1965, 36 (05) :1351-1374

[8] CONSISTENT DETECTION OF A MONOTONIC TREND SUPERPOSED ON A STATIONARY TIME-SERIES [J].

BRILLINGER, DR .

BIOMETRIKA, 1989, 76 (01) :23-30

[9]

BROWN RL, 1975, J ROY STAT SOC B MET, V37, P149

[10]

BRUCE AG, 1989, J ROY STAT SOC B MET, V51, P363

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