Bayesian Method of Moments (BMOM) Analysis of Mean and Regression Models

A Bayesian method of moments/instrumental variable (BMOM/IV) approach is developed and applied in the analysis of the important mean and multiple regression models. Given a single set of data, it is shown how to obtain posterior and predictive moments without the use of likelihood functions, prior densities and Bayes' Theorem. The posterior and predictive moments, based on a few relatively weak assumptions, are then used to obtain maximum entropy densities for parameters, realized error terms and future values of variables. Posterior means for parameters and realized error terms are shown to be equal to certain well known estimates and rationalized in terms of quadratic loss functions. Conditional maxent posterior densities for means and regression coefficients given scale parameters are in the normal form while scale parameters' maxent densities are in the exponential form. Marginal densities for individual regression coefficients, realized error terms and future values are in the Laplace or double-exponential form with heavier tails than normal densities with the same means and variances. It is concluded that these results will be very useful, particularly when there is difficulty in formulating appropriate likelihood functions and prior densities needed in traditional maximum likelihood and Bayesian approaches.Comment: 14 pages, postscript and pdf forma

Bayesian and Non-Bayesian Approaches to Scientific Modeling and Inference in Economics and Econometrics

After brief remarks on the history of modeling and inference techniques in economics and econometrics , attention is focused on the emergence of economic science in the 20th century. First, the broad objectives of science and the Pearson-Jeffreys' "unity of science" principle will be reviewed. Second, key Bayesian and non-Bayesian practical scientific inference and decision methods will be compared using applied examples from economics, econometrics and business. Third, issues and controversies on how to model the behavior of economic units and systems will be reviewed and the structural econometric modeling, time series analysis (SEMTSA) approach will be described and illustrated using a macro-economic modeling and forecasting problem involving analyses of data for 18 industrialized countries over the years since the 1950s. Point and turning point forecasting results will be summarized. Last, a few remarks will be made about the future of scientific inference and modeling techniques in economics and econometrics.

Honorary Lecture on S. James Press and Bayesian Analysis

S. James Press's many contributions to statistical research, lecturing, mentoring students, the statistics profession, etc. are summarized. Then some new developments in Bayesian analysis are described and remarks on the future of Bayesian analysis are presented.S. James Press, Bayesian analysis, statistical inference, optimal learning models, Bayes' theorem

THE USE OF A MARSHALLIAN MACROECONOMIC MODEL FOR POLICY EVALUATION: CASE OF SOUTH AFRICA

Using a disaggregated Marshallian Macroeconomic Model (MMM-DA), this paper investigates how the adoption of a set of 'free market reforms' may affect the economic growth rate of South Africa. Accounting for possible side effects mainly on the budget deficit, our findings suggest that the institution of the proposed policy reforms would yield a substantial growth in the aggregate annual real GDP. The resulting GDP growth rate could range from 5.3 percent to 9.8 percent depending on which variant of the reform policies is implemented.Marshallian Macroeconometric Model, Disaggregation, Transfer functions

AR Versus MA Disturbance Terms

We show how several models with moving average errors can be easily rewritten as models with autoregressive errors, thereby simplifying inference.

Evaluating the methodology of social experiments

Welfare ; Econometric models

The Use of a Marshallian Macroeconomic Model for Policy Evaluation: Case of South Africa

Using a disaggregated Marshallian Macroeconomic Model (MMM-DA), this paper investigates how the adoption of a set of 'free market reforms' may affect the economic growth rate of South Africa. Accounting for possible side effects mainly on the budget deficit, our findings suggest that the institution of the proposed policy reforms would yield a substantial growth in the aggregate annual real GDP. The resulting GDP growth rate could range from 5.3 percent to 9.8 percent depending on which variant of the reform policies is implemented.Marshallian Macroeconometric Model; Disaggregation; Transfer functions.