Autoregressive models with short-tailed symmetric distributions

被引:5
作者
Akkaya, Aysen D. [1 ]
Tiku, Moti L. [1 ]
机构
[1] Middle E Tech Univ, Dept Stat, TR-06531 Ankara, Turkey
关键词
short-tailedness; inliers; autoregression; nonlinear model; modified likelihood; hypothesis testing;
D O I
10.1080/02331880701736663
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
Symmetric short-tailed distributions do indeed occur in practice but have not received much attention particularly in the context of autoregression. We consider a family of such distributions and derive the modified maximum likelihood estimators of the parameters. We show that the estimators are efficient and robust. We develop hypothesis-testing procedures.
引用
收藏
页码:207 / 221
页数:15
相关论文
共 34 条
[1]   Estimating parameters in autoregressive models in non-normal situations: Asymmetric innovations [J].
Akkaya, A ;
Tiku, ML .
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2001, 30 (03) :517-536
[2]   Robust estimation and hypothesis testing under short-tailedness and inliers [J].
Akkaya, AD ;
Tiku, ML .
TEST, 2005, 14 (01) :129-150
[3]   Time series AR(1) model for short-tailed distributions [J].
Akkaya, AD ;
Tiku, ML .
STATISTICS, 2005, 39 (02) :117-132
[4]  
AKKAYA AD, 2007, TEST IN PRESS, V16
[5]  
[Anonymous], 1979, The Advanced Theory of Statistics
[7]   ROBUST MULTIPLE COMPARISONS [J].
DUNNETT, CW .
COMMUNICATIONS IN STATISTICS PART A-THEORY AND METHODS, 1982, 11 (22) :2611-2629
[8]  
DURBIN J, 1960, J ROY STAT SOC B, V22, P139
[9]  
FISHER RA, 1936, OLIVER BOYD
[10]   ON THE DISTRIBUTION OF THE EXPECTED VALUES OF THE ORDER STATISTICS [J].
HOEFFDING, W .
ANNALS OF MATHEMATICAL STATISTICS, 1953, 24 (01) :93-100