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APPROXIMATE POWER OF HETEROSCEDASTICITY TEST IN NONLINEAR MODELS WITH ARIMA(0,1,0) ERRORS
作者姓名:Lin  Jinguan  Wei  Bocheng  Zhang  Nansong
作者单位:[1]Dept. of Math. , Southeast Univ. , Nanjing 210096,China. [2]Dept. of Math. , Jiangsu Institute of Education,Naniing 210013,China. [3]Dept. of Math. , Zhejiang Univ. , Hangzhou 310027,China.
基金项目:Supported by SSFC(04BTJ002),the National Natural Science Foundation of China(10371016) and the Post-Doctorial Grant in Southeast University.
摘    要:This paper presents an approach for estimating power of the score test, based on an asymptotic approximation to the power of the score test under contiguous alternatives. The method is applied to the problem of power calculations for the score test of heteroscedasticity in European rabbit data (Ratkowsky, 1983). Simulation studies are presented which indicate that the asymptotic approximation to the finite-sample situation is good over a wide range of parameter configurations.

关 键 词:ARIMA误差  渐进线逼近  异方差性  非线性模型  有限样本
收稿时间:2004-12-27

Approximate power of heteroscedasticity test in nonlinear models with arima (0,1,0) errors
Lin Jinguan Wei Bocheng Zhang Nansong.Approximate power of heteroscedasticity test in nonlinear models with arima (0,1,0) errors[J].Applied Mathematics A Journal of Chinese Universities,2005,20(4):423-430.
Authors:Lin Jinguan  Wei Bocheng  Zhang Nansong
Institution:(1) Dept. of Math., Southeast Univ., 210096 Nanjiang, China;(2) Dept. of Math., Jiangsu Institute of Education, 210013 Nanjing, China;(3) Dept. of Math., Zhejiang Univ., 310027 Hangzhou, China
Abstract:. This paper presents an approach for estimating power of the score test,based on an asymptotic approximation to the power of the score test under contiguous alternatives.The method is applied to the problem of power calculations for the score test of heteroscedasticity in European rabbit data(Ratkowsky,1983).Simulation studies are presented which indicate that the asymptotic approximation to the finite-sample situation is good over a wide range of parameter configurations.
Keywords:ARIMA(0  1  0) errors  asymptotic approximation  heteroscedasticity  local power  nonlinear model  score test  
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