IMPROVED TESTS FOR THE FIRST-ORDER AUTOREGRESSIVE MODEL WITH HETEROSCEDASTICITY

被引:0
|
作者
LYON, J
TSAI, CL
机构
[1] Graduate School of-Management, University of California, Davis, CA
关键词
AUTOCORRELATION; HETEROSCEDASTICITY; MODIFIED LIKELIHOOD RATIO TEST; SCORE TEST;
D O I
10.1080/00949659508811652
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
In the first-order autoregressive model with nonconstant variance, likelihood ratio tests, score tests and modified likelihood ratio tests are derived to test each of the following hypotheses: (i) independence and homoscedasticity, (ii) independence, and (iii) homoscedasticity. Monte Carlo studies show that likelihood ratio tests can be very anticonservative, score tests are conservative and modified likelihood ratio tests are reliable and powerful tests. In addition, modified likelihood ratio tests for testing hypotheses (ii) and (iii) are robust in the presence of heteroscedasticity and autocorrelation, respectively.
引用
收藏
页码:71 / 83
页数:13
相关论文
共 50 条
  • [1] First-order planar autoregressive model
    Shklyar, Sergiy
    MODERN STOCHASTICS-THEORY AND APPLICATIONS, 2025, 12 (01): : 83 - 121
  • [2] Noise analysis of a first-order autoregressive model
    Department of Applied Physics, National Defense Academy, Hashirimizu1-10-20, Yokosuka-shi, Kanagawa, 239-8686, Japan
    Nihon Kikai Gakkai Ronbunshu C, 780 (3017-3024):
  • [3] Lindley first-order autoregressive model with applications
    Bakouch, Hassan S.
    Popovic, Bozidar V.
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2016, 45 (17) : 4988 - 5006
  • [4] Unbounded heteroscedasticity in first-order autoregressive models and the Eicker-White asymptotic variance estimator
    Kourogenis, Nikolaos
    Pittis, Nikitas
    ECONOMICS LETTERS, 2010, 106 (02) : 84 - 86
  • [5] Information Theory Estimators for the First-Order Spatial Autoregressive Model
    Perevodchikov, Evgeniy V.
    Marsh, Thomas L.
    Mittelhammer, Ron C.
    ENTROPY, 2012, 14 (07) : 1165 - 1185
  • [6] Is First-Order Vector Autoregressive Model Optimal for fMRI Data?
    Ting, Chee-Ming
    Seghouane, Abd-Krim
    Khalid, Muhammad Usman
    Salleh, Sh-Hussain
    NEURAL COMPUTATION, 2015, 27 (09) : 1857 - 1871
  • [7] Bayesian estimation for first-order autoregressive model with explanatory variables
    Yang, Kai
    Wang, Dehui
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2017, 46 (22) : 11214 - 11227
  • [8] Likelihood analysis of a first-order autoregressive model with exponential innovations
    Nielsen, B
    Shephard, N
    JOURNAL OF TIME SERIES ANALYSIS, 2003, 24 (03) : 337 - 344
  • [9] ESTIMATION OF RHO IN FIRST-ORDER AUTOREGRESSIVE MODEL - BAYESIAN APPROACH
    LENTON, RL
    RODRIGUEZ-ITURBE, I
    SCHAAKE, JC
    WATER RESOURCES RESEARCH, 1974, 10 (02) : 227 - 241
  • [10] Diagnostics for a Linear Model with First-Order Autoregressive Symmetrical Errors
    Zhu, Xiao-Xin
    Zhu, Bin
    Cao, Chun-Zheng
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2013, 42 (13) : 2335 - 2350