Bilinear form test statistics for extremum estimation

被引:0
作者
Crudu, Federico [1 ,3 ]
Osorio, Felipe [2 ]
机构
[1] Univ Siena, Dept Econ & Stat, Piazza San Francesco 7-8, I-53100 Siena, Italy
[2] Univ Tecn Federico Santa Maria, Dept Matemat, Valparaiso, Chile
[3] Ctr North South Econ Res CRENoS, Via S Giorgio 12, I-09124 Cagliari, Italy
关键词
Extremum estimation; Gradient statistic; Bilinear form test; Nonlinear hypothesis;
D O I
10.1016/j.econlet.2019.108885
中图分类号
F [经济];
学科分类号
02 ;
摘要
This paper develops a set of test statistics based on bilinear forms in the context of the extremum estimation framework with particular interest in nonlinear hypothesis. We show that the proposed statistic converges to a conventional chi-square limit. A Monte Carlo experiment suggests that the test statistic works well in finite samples. (C) 2019 Elsevier B.V. All rights reserved.
引用
收藏
页数:4
相关论文
共 16 条
[1]   ON GENERALIZED SCORE TESTS [J].
BOOS, DD .
AMERICAN STATISTICIAN, 1992, 46 (04) :327-333
[2]   INVARIANCE, NONLINEAR MODELS, AND ASYMPTOTIC TESTS [J].
DAGENAIS, MG ;
DUFOUR, JM .
ECONOMETRICA, 1991, 59 (06) :1601-1615
[3]   MAXIMUM Lq-LIKELIHOOD ESTIMATION [J].
Ferrari, Davide ;
Yang, Yuhong .
ANNALS OF STATISTICS, 2010, 38 (02) :753-783
[4]  
Gourieroux C., 1995, STAT ECONOMETRICS MO, V2
[5]   FORMULATING WALD TESTS OF NONLINEAR RESTRICTIONS [J].
GREGORY, AW ;
VEALL, MR .
ECONOMETRICA, 1985, 53 (06) :1465-1468
[6]  
Hansen J, 2006, J HIGH ENERGY PHYS
[7]  
Hayashi F., 2000, Econometrics
[8]   OBTAINING ANY WALD STATISTIC YOU WANT [J].
LAFONTAINE, F ;
WHITE, KJ .
ECONOMICS LETTERS, 1986, 21 (01) :35-40
[9]  
Lemonte A., 2016, The gradient test: another likelihood-based test
[10]  
Magnus Jan, 2007, Matrix Differential Calculus with Applications in Statistics and Econometrics