Principles of EconometricsThe complete guide to econometrics and econometric analysis For students and practitioners of econometrics, Principles of Econometrics provides a complete overview of the subject, serving as both an extensive introduction to the subject and as a reference volume. This comprehensive text delves fully into the empirical determination of economic laws, highlighting the mathematical principles and techniques that economists use to test and determine theories using real-world data. Starting with an overview of economic relations and moving through an array of mathematical and statistical tools, Principles of Economics is a complete resource. |
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Page 91
Henri Theil. - distributed as o2x2 ( n − 1 ) and its expectation is o2 ( n 1 ) and its expectation is o2 ( n - 1 ) [ see ( 6.4 ) ] , so that o2 ( n - 1 ) / n is the expectation of ( 1 / n ) x'Ax.14 This differs from o2 , so that ( 7.16 ) ...
Henri Theil. - distributed as o2x2 ( n − 1 ) and its expectation is o2 ( n 1 ) and its expectation is o2 ( n - 1 ) [ see ( 6.4 ) ] , so that o2 ( n - 1 ) / n is the expectation of ( 1 / n ) x'Ax.14 This differs from o2 , so that ( 7.16 ) ...
Page 376
... expectation of X , which is equal to Y plus 1 / n times the expectation of Z , fails to exist because Z ( a Cauchy variate ) has no expectation . The same is obviously true for the higher mo- ments of X , for whatever finite value of n ...
... expectation of X , which is equal to Y plus 1 / n times the expectation of Z , fails to exist because Z ( a Cauchy variate ) has no expectation . The same is obviously true for the higher mo- ments of X , for whatever finite value of n ...
Page 410
... expectation of Ya - 19-1 , is written as the product of two expectations . This is permissible because , is ... expectation of the right - hand side of ( 7.6 ) . If we take the expectation of the three terms of this side , we obtain o2 ...
... expectation of Ya - 19-1 , is written as the product of two expectations . This is permissible because , is ... expectation of the right - hand side of ( 7.6 ) . If we take the expectation of the three terms of this side , we obtain o2 ...
Contents
Introduction | 1 |
Matrix Algebra | 7 |
Inference and Distribution Theory | 62 |
Copyright | |
21 other sections not shown
Common terms and phrases
2SLS Assumption 3.3 asymptotic b₁ b₂ BLUS residuals characteristic vectors coefficient vector condition Consider constant term constraints converges in probability correlation coefficient corresponding covariance matrix d₁ defined demand equation density function dependent variable derivatives deviations diagonal elements disturbances equality sign estimator of ẞ expectation explanatory variables given hence idempotent idempotent matrix implies income independent inverse lagged likelihood function limiting distribution linear unbiased logarithm LS coefficient LS estimator LS residuals moment-generating function multiple nonsingular normal distribution null hypothesis obtain orthogonal P₁ positive semidefinite positive semidefinite matrix Problem procedure Prove quadratic form random variables ratio regression residual vector result right-hand side roots rows scalar covariance matrix Section specification ẞ₁ standard linear model sum of squares Suppose symmetric textile example Theorem unbiased estimator unbiasedness X₁ Xẞ y₁ zero mean σ²