Contents:
Basic Concept of Econometrics: Meaning, methodology of econometrics, types of econometrics, nature and source of data for econometric analysis, role of computers in econometric analysis, specification of PRF, different functional forms of PRF and transformation of PRF to linear form, meaning of population regression function (PRF) and sample regression function (SRF), stochastic.
Detail study of problems of estimation and inference in multiple linear regression models, Likelihood Ratio, Wald, Lagrange Multiplier, and other suitable tests for testing regression, examination of linear regression results for fitted lines and residuals to detect assumption violations, parameters, verification of BLUE properties of linear regression by Monte Carlo experiments.
Multicollinearity: Nature of multicollinearity, theoretical multicollinearity, estimation in presence of multicollinearity, theoretical and practical consequences of multicollinearity, detection of multicollinearity, remedy and measures of multicollinearity.
Heteroscedasticity: Meaning and nature of heteroscedasticity, ordinary least squares and generalized least squares, estimation in the presence of heteroscedasticity, consequences of using ordinary least squares in the presence of heteroscedasticity, detection of heteroscedasticity by informal Pagan-Godfrey heteroscedasticity tests, remedial measures of heteroscedasticity by weighted least squares and formal methods (Park, Glejser, Spearman's rank correlation, Goldfield-Quandt, and Breusch-Pagan tests).
Autocorrelation (Serial Correlation): Meaning and nature, ordinary least squares estimators and best linear unbiased estimators, estimators in presence of autocorrelation, consequences of using ordinary least squares in the presence of autocorrelation, detection of autocorrelation by graphical methods, run test, Durbin-Watson D-Test, H-Test, asymptotic autocorrelation, remedial measures of autocorrelation for both known and unknown rho, Cochrane-Orcutt iterative, Durbin's two-step, and EGLS methods of estimating rho, concept of autoregressive conditional heteroscedasticity (ARCH) model, generalized ARCH (GARCH) model, consequence of autocorrelation.
Econometric Modeling: Average economic regression, methodology, and specification errors, types of specification error, nature, consequences, and remedies of specification errors, test of specification error, errors of measurement in dependent and explanatory variables, Monte-Carlo experiment of specification error.
Model Selection: Leamer's and Hendry's approach to model selection, non-nested hypothesis test by (i) discrimination approach (ii) discerning approach and (iii) other criteria such as: Hocking's Sp measures, Mallow's Cp measure, Amemiya's PC measure, and Akaike's AIC measure, Schwarz criterion, Hannan Quinn, and Shibata criterion.
Detail study of linear probability, logistic, probit, and tobit models to study regression on dummy dependent variables.
Multivariate Time Series: Second-Order Properties, mean and covariance functions, multivariate ARMA (MARMA) models, best linear predictors, modeling and forecasting with MAR or VAR processes, VAR models, unit root models, error-correction model, cointegration analysis.
State-Space Models: State-Space representation, basic structural model, state-space representation of ARIMA models, Kalman recursions, estimation for state-space models, state-space models with missing observations, EM algorithm, generalized state-space models.