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adaptive expectation alternative assume assumption asymptotic autoregressive errors average behaviour capital stock causal Chapter Cobb-Douglas Cobb-Douglas production function coefficients coffee commodities computed consistent estimates constant correlation cross section demand equations demand function dependent variable derived discussion distributed lag dynamic econometric model econometricians economic theory efficiency Engel curves equation model equilibrium estimation problem example exogenous expenditure firm flow price given growth homogeneous hypothesis income independent inputs investment isoquant Klein Model labour lag operator likelihood function linear log-linear long-run marginal product matrix maximising maximum likelihood measure method multiplier nonlinear objective function observations obtain OLS estimates output parameters polynomial predetermined variables production function profits quantity reduced form regression relationship residuals returns to scale Sargan simulation simultaneous equations single equation Solow specification static statistic stochastic structural technical change techniques Tobin unrestricted utility function variance variance-covariance matrix vector vintage zero restrictions