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A REVIEW OF ASYMPTOTIC DISTRIBUTION
METHODS OF APPROXIMATING DISTRIBUTION
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2SLS 2SLS estimator ACF and PACF American Statistical Association Applications ARIMA models ARMA assume asymptotic expansion autoregressive bias Chapter characteristic function coefficients complex number converges in probability defined Definition denoted density function derived discussed distribution function E(XT Econometrica exact distribution example exogenous finite forecast hypergeometric identified implies included endogenous variables independent integral it-class estimator James-Stein estimator lag operator least squares estimator Lemma likelihood function linear loss function maximum likelihood estimator mean squared error methods minimax minimizes moving average multivariate noncentral nonzero normal distribution OLS estimator parameter PARTIAL AUTOCORRELATION PARTIAL AUTOCORRELATION FUNCTION past values plim preliminary test estimator prewhitened problem Proof quadratic loss function random variables reduced form restrictions result ridge regression risk function Sawa sequence serial correlation series models simultaneous equation stationary Stochastic tests for causality theory transformation variance vector Wishart distribution yields zero