Two methods of evaluating hoerl and kennard's ridge regression

We formulate a modified version of the Hoerl-Kennard ridge regression method to solve the problem of estimating coefficients in economic relationships. We investigate two approaches for determining the biasing parameter One approach utilizes prior information in choosing jr, the other approach estimates y from the sample data. Monte Carlo experiments are used to evaluate the relative efficiencies of alternative ridge estimators.

[1]  S. John,et al.  On Identifying the Population of Origin of Each Observation in a Mixture of Observations from Two Normal Populations , 1970 .

[2]  A. E. Hoerl,et al.  Ridge regression:some simulations , 1975 .

[3]  Hrishikesh D. Vinod,et al.  Application of New Ridge Regression Methods to a Study of Bell System Scale Economies , 1976 .

[4]  J. Wolfe PATTERN CLUSTERING BY MULTIVARIATE MIXTURE ANALYSIS. , 1970, Multivariate behavioral research.

[5]  P. Jagers,et al.  Studies in Bayesian econometrics and statistics: S.E. Fienberg and A. Zellner, eds., In honor of Leonard J. Savage (North-Holland, Amsterdam, 1975) , 1977 .

[6]  H. Theil Principles of econometrics , 1971 .

[7]  W. Fuller,et al.  Transformations for Estimation of Linear Models with Nested-Error Structure , 1973 .

[8]  Paul N. Rappoport,et al.  Relative efficiencies of some simple Bayes estimators of coefficients in dynamic models — I , 1975 .

[9]  C. Theobald Generalizations of Mean Square Error Applied to Ridge Regression , 1974 .

[10]  P. A. V. B. Swamy,et al.  On Theil's Mixed Regression Estimator , 1969 .

[11]  A. Goldberger Topics in regression analysis , 1969 .

[12]  Lawrence D. Brown,et al.  Estimation with Incompletely Specified Loss Functions (the Case of Several Location Parameters) , 1975 .

[13]  T. W. Anderson,et al.  Statistical analysis of time series , 1972 .

[14]  G. C. McDonald,et al.  A Monte Carlo Evaluation of Some Ridge-Type Estimators , 1975 .

[15]  Paul N. Rappoport,et al.  Relative efficiencies of some simple Bayes estimators of coefficients in a dynamic equation with serially correlated errors - II , 1978 .

[16]  R. L. Winkler The Quantification of Judgment: Some Methodological Suggestions , 1967 .

[17]  Calyampudi Radhakrishna Rao,et al.  Linear Statistical Inference and its Applications , 1967 .

[18]  P. Swamy,et al.  Minimum average risk estimators for coefficients in linear models , 1975 .

[19]  P. A. V. B. Swamy,et al.  A note on minimum average risk estimators for coefficients in linear models , 1977 .

[20]  Duane A. Meeter,et al.  On a Theorem Used in Nonlinear Least Squares , 1966 .

[21]  P. A. V. B. Swamy,et al.  The Finite Sample Distribution of Theil's Mixed Regression Estimator and a Related Problem , 1970 .

[22]  P. Zarembka Frontiers in econometrics , 1973 .

[23]  A. Zellner Constraints Often Overlooked in Analyses of Simultaneous Equation Models , 1976 .