Maximum score type estimators

• Autorzy: Marcin Owczarczuk
• Języki publikacji: EN

Abstrakty

This paper presents maximum score type estimators for linear, binomial, tobit and truncated regression models. These estimators estimate the normalized vector of slopes and do not provide the estimator of intercept, although it may appear in the model. Strong consistency is proved. In addition, in the case of truncated and tobit regression models, maximum score estimators allow restriction of the sample in order to make ordinary least squares method consistent.(original abstract)

Słowa kluczowe

PL

Regresja liniowa; Modele regresji; Estymatory

EN

Linear regression; Regression models; Estimators

• Czasopismo: Department of Applied Econometrics Working Papers
• Rocznik: 2008
• Numer: nr 7
• Strony: 21

Twórcy

autor

Marcin Owczarczuk

• Warsaw School of Economics, Poland

Bibliografia

• Bierens, H. J., 2004, Introduction to the Mathematical and Statistical Foundations of Econometrics, CambridgeUniversity Press
• Engle R. F., McFadden D. L., 1994, Handbook of econometrics, vol. IV, Elsevier Science
• Ferguson T. S., 1996, A course in large sample theory, Chapman and Hall
• GreeneW. H. Econometric Analysis, 2003, Prentice Hall
• Greene W. H., 1981, On the Asymptotic Bias of the Ordinary Least Squares Estimator of the Tobit Model,Econometrica 49(2), p. 505-513.
• Horowitz J. L., 1992, A smoothed maximum score estimator for the binary response model, Econometrica 60(3),p. 505-531
• Horowitz J. L., 2002, Bootstrap critical values for tests based on the smoothedmaximum score estimator, Journal of Econometrics 111, p. 141167
• Huang J., Abrevaya J., 2005, On the Bootstrap of the Maximum Score Estimator, Econometrica 73(4), p. 1175- 1204
• Kim J., Pollard D., 1990, Cube root asymptotics, Annals of Statistics 18, p. 191219.
• Manski, C. F., 1975,Maximum score estimation of the stochastic utility model of choice, Journal of Econometrics 3, p. 205-228
• Manski, C. F., 1985, Semiparametric analysis of the discrete response. Asymptotic properties of the maximum score estimator, Journal of Econometrics 27, p. 313-333
• Moon, H. R., 2004,Maximum score estimation of a nonstationary binary choice model, Journal of Econometrics 122, p. 385403
• Nocedal J., Wright S. J., 1999, Numerical optimization, Springer-Verlag
• Rao R. R., 1962 Relations between weak and uniform convergence of measures with applications, Annals of Mathematical Statistics 33, p. 659-680.