References
- Ahmad , I. A. and Li , Q. 1997 . Testing Symmetry of an Unknown Density Function by Kernel Method . Journal of Nonparametric Statistics , 7 : 279 – 293 . (doi:10.1080/10485259708832704)
- Andrews , D. W.K. 1997 . A Conditional Kolmogorov Test . Econometrica , 65 : 1097 – 1128 . (doi:10.2307/2171880)
- Bai , J. and Ng , S. 2001 . A Consistent Test for Conditional Symmetry of Time Series . Journal of Econometrics , 103 : 225 – 258 . (doi:10.1016/S0304-4076(01)00044-6)
- Bickel , P. J. 1982 . On Adaptive Estimation . Annals of Statistics , 10 : 647 – 671 . (doi:10.1214/aos/1176345863)
- Card , D. and Hyslop , D. 1996 . Does Inflation “Grease the Wheels of the Labor Market"? . NBER Working Paper 5538.
- Choi , I. and Phillips , P. C.B. 1992 . Asymptotic and Finite Sample Distribution Theory for IV Estimators and Tests in Partially Identified Structural Equations . Journal of Econometrics , 51 : 113 – 150 . (doi:10.1016/0304-4076(92)90032-M)
- Christofides , L. N. and Stengos , T. 2001 . A Non-parametric Test of the Symmetry of PSID Wage-Change Distributions . Economics Letters , 71 : 363 – 368 . (doi:10.1016/S0165-1765(01)00384-6)
- Davydov , Y. A. , Lifshits , M. A. and Smorodina , N. V. 1998 . Local Properties of Distributions of Stochastic Functionals , Providence , Rhode Island : American Mathematical Society .
- Delgado , M. A. , Domínguez , M. A. and Lavergne , P. 2006 . Consistent Tests of Conditional Moment Restrictions . Annales d'Economie et de Statistique , 81 : 33 – 67 .
- Delgado , M. A. and Escanciano , J. C. 2007 . Nonparametric Tests for Conditional Symmetry in Dynamic Models . Journal of Econometrics , 141 : 652 – 682 . (doi:10.1016/j.jeconom.2006.10.011)
- Fan , Y. and Gencay , R. 1995 . A Consistent Nonparametric Test of Symmetry in Linear Regression Models . Journal of the American Statistical Association , 90 : 551 – 557 . (doi:10.1080/01621459.1995.10476547)
- Hájek , J. Local Asymptotic Minimax and Admissibility in Estimation . Proceedings of the Sixth Berkeley Symposium on Mathematical Statistics and Probability . Vol. 10 , pp. 175 – 194 . Berkeley , CA : University of California Press .
- Hall , A. R. and Inoue , A. 2003 . The Large Sample Behaviour of the Generalized Method of Moments Estimator in Misspecified Models . Journal of Econometrics , 114 : 361 – 394 . (doi:10.1016/S0304-4076(03)00089-7)
- Hansen , B. E. 1996 . Inference When a Nuisance Parameter Is Not Identified under the Null Hypothesis . Econometrica , 64 : 413 – 430 . (doi:10.2307/2171789)
- Harvey , C. R. and Siddique , A. 2000 . Conditional Skewness in Asset Pricing Tests . Journal of Finance , : 1263 – 1295 . LV (doi:10.1111/0022-1082.00247)
- Hyndman , R. J. and Yao , Q. 2002 . Nonparametric Estimation and Symmetry Tests for Conditional Density Functions . Journal of Nonparametric Statistics , 14 : 259 – 278 . (doi:10.1080/10485250212374)
- Khmaladze , E. V. 1993 . Goodness of Fit Problem and Scanning Innovation Martingales . Annals of Statistics , 21 ( 2 ) : 798 – 829 . (doi:10.1214/aos/1176349152)
- Khmaladze , E. V. and Koul , H. 2004 . Martingale Transforms Goodness-of-Fit Tests in Regression Models . Annals of Statistics , 32 ( 3 ) : 995 – 1034 . (doi:10.1214/009053604000000274)
- Maddala , G. S. and Jeong , J. 1992 . On the Exact Small Sample Distribution of the Instrumental Variable Estimator . Econometrica , 60 : 181 – 183 . (doi:10.2307/2951683)
- Manski , C. 1984 . Adaptive Estimation of Nonlinear Regression Models . Econometric Reviews , 3 : 145 – 194 . (doi:10.1080/07474938408800060)
- Nelson , C. R. and Startz , R. 1990 . Some Further Results on the Exact Small Sample Properties of the Instrumental Variables Estimator . Econometrica , 58 : 967 – 976 . (doi:10.2307/2938359)
- Neumeyer , N. and Dette , H. 2007 . Testing for Symmetric Error Distribution in Nonparametric Regression Models . Statistica Sinica , 17 : 775 – 795 .
- Neumeyer , N. , Dette , H. and Nagel , E.-R. 2005 . A Note on Testing Symmetry of the Error Distribution in Linear Regression Models . Journal of Nonparametric Statistics , 17 : 697 – 715 . (doi:10.1080/10485250500095660)
- Newey , W. K. 1988a . Adaptive Estimation of Regression Models via Moment Restrictions . Journal of Econometrics , 38 : 301 – 339 . (doi:10.1016/0304-4076(88)90048-6)
- Newey , W. K. 1988b . “ Efficient Estimation of Tobit Models Under Conditional Symmetry ” . In Nonparametric and Semiparametric Methods in Econometrics and Statistics. Proceedings of the Fifth International Symposium in Economic Theory and Econometrics , Edited by: Barnett , W. A. , Powell , J. and Tauchen , G. 291 – 336 . New York : Cambridge University Press .
- Newey , W. K. and McFadden , D. 1994 . “ Large Sample Estimation and Hypothesis Testing ” . In Handbook of Econometrics , Edited by: Engle , R. and McFadden , D. Vol. IV , 2111 – 2245 . The Netherlands : Elsevier Science B.V .
- Newey , W. K. and Powell , J. L. 1987 . Asymmetric Least Squares Estimation and Testing . Econometrica , 55 : 819 – 847 . (doi:10.2307/1911031)
- Phillips , P. C.B. 1989 . Partially Identified Econometric Models . Econometric Theory , 5 : 181 – 240 . (doi:10.1017/S0266466600012408)
- Powell , J. L. 1986 . Symmetrically Trimmed Least Squares Estimation for Tobit Models . Econometrica , 54 : 1435 – 1460 . (doi:10.2307/1914308)
- Powell , J. L . 1994 . “ Estimation of Semiparametric Models ” . In Handbook of Econometrics , Edited by: Engle , R. and McFadden , D. Vol. IV , 2443 – 2521 . The Netherlands : Elsevier Science B.V .
- Randles , R. H. and Wolfe , D. A. 1979 . Introduction to the Theory of Nonparametric Statistics , New York : John Wiley & Sons .
- Sakata , S. 2007 . Instrumental Variable Estimation Based on Conditional Median Restriction . Journal of Econometrics , 141 : 350 – 382 . (doi:10.1016/j.jeconom.2006.10.001)
- Stengos , T. and Wu , X. 2004 . Information-Theoretic Distribution Tests with Application to Symmetry and Normality . http://ssrn.com/abstract=512902.
- Su , J. Q. and Wei , L. 1991 . A Lack-of-Fit Test for the Mean Function in a Generalized Linear Model . Journal of the American Statistical Association , 86 : 420 – 426 . (doi:10.1080/01621459.1991.10475059)
- van der Vaart , A. W. 1998 . Asymptotic Statistics , New York : Cambridge University Press .
- van der Vaart , A. W. and Wellner , J. A. 1996 . Weak Convergence and Empirical Processes: With Applications to Statistics , New York : Springer-Verlag .
- van der Vaart , A. W. and Wellner , J. A. 2007 . “ Empirical Processes Indexed by Estimated Functions ” . In Asymptotics: Particles, Processes and Inverse Problems , Edited by: Cator , E. A. , Jongbloed , G. , Kraaikamp , C. , Lopuhaa , H. P. and Wellner , J. A. 234 – 252 . Beachwood , OH : Institute of Mathematical Statistics . Vol. 55 of IMS Lecture Notes-Monograph Series
- Zheng , J. X. 1998 . Consistent Specification Testing for Conditional Symmetry . Econometric Theory , 14 : 139 – 149 .