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The Exact Distribution of LIML: II Author info | Abstract | Publisher info | Download info | Related research | Statistics Peter C.B. Phillips () (Cowles Foundation, Yale University )
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This paper derives the exact probability density function of the limited information maximum likelihood (LIML) estimator of the coefficient vector of the endogenous variables in a structural equation containing n+1 endogenous variables and L >= 1 degrees of overidentification. This generalizes the presently known results for the two endogenous variable case (n+1 = 2) and the leading case analyses in the author's earlier paper (1982). Upon appropriate symbolic translation the results may be applied directly to the maximum likelihood estimator in the multivariate linear functional relationship.
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Paper provided by Cowles Foundation, Yale University in its series Cowles Foundation Discussion Papers with number
663.
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Length: 23 pages
Date of creation: Feb 1983Date of revision:
Publication status: Published in International Economic Review (February 1985), 26(1): 21-36Handle: RePEc:cwl:cwldpp:663Note: CFP 618.Contact details of provider: Postal: Yale University, Box 208281, New Haven, CT 06520-8281 USA Phone: (203) 432-3702 Fax: (203) 432-6167 Web page: http://cowles.econ.yale.edu/ More information through EDIRC
Order Information: Postal: Cowles Foundation, Yale University, Box 208281, New Haven, CT 06520-8281 USA
For technical questions regarding this item, or to correct its listing, contact: (Glena Ames).
Keywords: Other versions of this item:
Article Phillips, Peter C B, 1984.
"The Exact Distribution of LIML: I ,"
International Economic Review ,
Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 25(1), pages 249-61, February.
[Downloadable!] (restricted) Phillips, Peter C B, 1985.
"The Exact Distribution of LIML: II ,"
International Economic Review ,
Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 26(1), pages 21-36, February.
[Downloadable!] (restricted) Paper References listed on IDEAS Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile , click on "citations" and make appropriate adjustments.: Wegge, Leon L, 1971.
"The Finite Sampling Distribution of Least Squares Estimators with Stochastic Regressors ,"
Econometrica ,
Econometric Society, vol. 39(2), pages 241-51, March.
[Downloadable!] (restricted)
Phillips, P C B, 1980.
"Finite Sample Theory and the Distributions of Alternative Estimators of the Marginal Propensity to Consume ,"
Review of Economic Studies ,
Blackwell Publishing, vol. 47(1), pages 183-224, January.
[Downloadable!] (restricted)
Kelejian, Harry H, 1974.
"Random Parameters in a Simultaneous Equation Framework: Identification and Estimation ,"
Econometrica ,
Econometric Society, vol. 42(3), pages 517-27, May.
[Downloadable!] (restricted)
Fuller, Wayne A, 1977.
"Some Properties of a Modification of the Limited Information Estimator ,"
Econometrica ,
Econometric Society, vol. 45(4), pages 939-53, May.
[Downloadable!] (restricted)
Mariano, Roberto S, 1977.
"Finite Sample Properties of Instrumental Variable Estimators of Structural Coefficients ,"
Econometrica ,
Econometric Society, vol. 45(2), pages 487-96, March.
[Downloadable!] (restricted)
Full
references Cited by : (explanations , Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile , click on "citations" and make appropriate adjustments.)
John C. Chao & Peter C.B. Phillips, 1996.
"Bayesian Posterior Distributions in Limited Information Analysis of the Simultaneous Equations Model Using the Jeffreys Prior ,"
Cowles Foundation Discussion Papers
1137, Cowles Foundation, Yale University.
[Downloadable!]
Giovanni Forchini, 2006.
"The Asymptotic distribution of the LIML Estimator in a Partially Identified Structural Equation ,"
Monash Econometrics and Business Statistics Working Papers
1/06, Monash University, Department of Econometrics and Business Statistics.
[Downloadable!]
John Chao & Norman Swanson, 2003.
"Alternative Approximations of the Bias and MSE of the IV Estimator Under Weak Identification With an Application to Bias Correction ,"
Departmental Working Papers
200315, Rutgers University, Department of Economics.
[Downloadable!]
Other versions:
John Chao & Norman R. Swanson, 2003.
"Alternative Approximations of the Bias and MSE of the IV Estimator under Weak Identification with an Application to Bias Correction ,"
Cowles Foundation Discussion Papers
1418, Cowles Foundation, Yale University.
[Downloadable!] John C. Chao & Norman Rasmus Swanson, 2004.
"Alternative Approximations of the Bias and MSE of the IV Estimator Under Weak Identification with an Application to Bias Correction ,"
Yale School of Management Working Papers
ysm375, Yale School of Management.
[Downloadable!] Chao, John & Swanson, Norman R., 2007.
"Alternative approximations of the bias and MSE of the IV estimator under weak identification with an application to bias correction ,"
Journal of Econometrics ,
Elsevier, vol. 137(2), pages 515-555, April.
[Downloadable!] (restricted) T. W. Anderson & Naoto Kunitomo & Yukitoshi Matsushita, 2009.
"The Limited Information Maximum Likelihood Estimator as an Angle ,"
CIRJE F-Series
CIRJE-F-619, CIRJE, Faculty of Economics, University of Tokyo.
[Downloadable!]
DUFOUR, Jean-Marie, 2003.
"Identification, Weak Instruments and Statistical Inference in Econometrics ,"
Cahiers de recherche
10-2003, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
[Downloadable!]
Other versions:
Jean-Marie Dufour, 2003.
"Identification, Weak Instruments and Statistical Inference in Econometrics ,"
CIRANO Working Papers
2003s-49, CIRANO.
[Downloadable!] DUFOUR, Jean-Marie, 2003.
"Identification, Weak Instruments and Statistical Inference in Econometrics ,"
Cahiers de recherche
2003-12, Universite de Montreal, Departement de sciences economiques.
[Downloadable!] Jean-Marie Dufour, 2003.
"Identification, weak instruments, and statistical inference in econometrics ,"
Canadian Journal of Economics ,
Canadian Economics Association, vol. 36(4), pages 767-808, November.
[Downloadable!] (restricted) Peter C.B. Phillips, 1992.
"Some Exact Distribution Theory for Maximum Likelihood Estimators of Cointegrating Coefficients in Error Correction Models ,"
Cowles Foundation Discussion Papers
1039, Cowles Foundation, Yale University.
[Downloadable!]
Other versions: J. Dufour, .
"Some Impossibility Theorems in Econometrics with Applications to Instrumental Variables, Dynamic Models and Cointegration ,"
Sonderforschungsbereich 373
1995-27, Humboldt Universitaet Berlin.
Other versions:
Dufour, J.M., 1995.
"Some Impossibility Theorems in Econometrics with Applications to Instrumental Variables, Dynamic Models and Cointegration ,"
Cahiers de recherche
9539, Universite de Montreal, Departement de sciences economiques.
[Downloadable!] Dufour, J.M., 1995.
"Some Impossibility Theorems in Econometrics with Applications to Instrumental Variables, Dynamic Models and Cointegration ,"
Cahiers de recherche
9539, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
Peter C.B. Phillips, 1987.
"Conditional and Unconditional Statistical Independence ,"
Cowles Foundation Discussion Papers
824R, Cowles Foundation, Yale University, revised Dec 1987.
[Downloadable!]
Other versions: Grant H. Hillier, 1987.
"Joint Distribution Theory for Some Statistics Based on LIML and TSLS ,"
Cowles Foundation Discussion Papers
840, Cowles Foundation, Yale University.
[Downloadable!]
Rodrigo Alfaro, 2008.
"Higher Order Properties of the Symmetricallr Normalized Instrumental Variable Estimator ,"
Working Papers Central Bank of Chile
500, Central Bank of Chile.
[Downloadable!]
Peter C. B. Phillips, 2005.
"A Remark on Bimodality and Weak Instrumentation in Structural Equation Estimation ,"
Cowles Foundation Discussion Papers
1540, Cowles Foundation, Yale University.
[Downloadable!]
Other versions: Jean-Marie Dufour, 2001.
"Logiques et tests d'hypothèses : réflexions sur les problèmes mal posés en économétrie ,"
CIRANO Working Papers
2001s-40, CIRANO.
[Downloadable!]
Other versions:
Dufour, J.M., 2001.
"Logique et tests d'hypotheses: reflexions sur les problemes mal poses en econometrie ,"
Cahiers de recherche
2001-15, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
DUFOUR, Jean-Marie, 2001.
"Logique et tests d'hypotheses: reflexions sur les problemes mal poses en econometrie ,"
Cahiers de recherche
2001-15, Universite de Montreal, Departement de sciences economiques.
[Downloadable!] Peter C.B. Phillips, 1983.
"Finite Sample Econometrics Using ERA's ,"
Cowles Foundation Discussion Papers
683, Cowles Foundation, Yale University.
[Downloadable!]
Douglas Staiger & James H. Stock, 1994.
"Instrumental Variables Regression with Weak Instruments ,"
NBER Technical Working Papers
0151, National Bureau of Economic Research, Inc.
[Downloadable!] (restricted)
Other versions: John C. Chao & Peter C.B. Phillips, 1998.
"Jeffreys Prior Analysis of the Simultaneous Equations Model in the Case with n+1 Endogenous Variables ,"
Cowles Foundation Discussion Papers
1198, Cowles Foundation, Yale University.
[Downloadable!]
Other versions: Grant Hillier & Raymond Kan & Xiaolu Wang, 2008.
"Computationally efficient recursions for top-order invariant polynomials with applications ,"
CeMMAP working papers
CWP07/08, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
[Downloadable!]
Other versions: Chirok Han & Peter C.B. Phillips, 2005.
"GMM with Many Moment Conditions ,"
Cowles Foundation Discussion Papers
1515, Cowles Foundation, Yale University.
[Downloadable!]
Other versions:
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