Linear contrasts in one-way classification AR(1) model with gamma innovations

被引:0
|
作者
Senoglu, Birdal [1 ]
Bayrak, Ozlem Turker [2 ]
机构
[1] Ankara Univ, Dept Stat, Fac Sci, Do Gol Caddesi, TR-06100 Ankara, Turkey
[2] Cankaya Univ, Stat Unit, Ankara, Turkey
来源
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2016年 / 45卷 / 06期
关键词
Autoregressive model; linear contrasts; nonnormality; robustness; modified likelihood; gamma distribution; TIME-SERIES MODELS; AUTOREGRESSIVE MODELS; ESTIMATING PARAMETERS; NONNORMAL SITUATIONS; MAXIMUM-LIKELIHOOD; DESIGN;
D O I
10.15672/HJMS.20164515996
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this study, the explicit estimators of the model parameters in oneway classification AR(1) model with gamma innovations are derived by using modified maximum likelihood (MML) methodology. We also propose a new test statistic for testing linear contrasts. Monte Carlo simulation results show that the MML estimators have higher efficiencies than the traditional least squares (LS) estimators and the proposed test has much better power and robustness properties than the normal theory test.
引用
收藏
页码:1743 / 1754
页数:12
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