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Persistent link: https://www.econbiz.de/10010190657
In practice structural equations are often estimated by least-squares, thus neglecting any simultaneity. This paper reveals why this may often be justifiable and when. Assuming data stationarity and existence of the first four moments of the disturbances we find the limiting distribution of the...
Persistent link: https://www.econbiz.de/10011349723
Several lessons learned from a Bayesian analysis of basic economic time series models by means of the Gibbs sampling algorithm are presented. Models include the Cochrane-Orcutt model for serial correlation, the Koyck distributed lag model, the Unit Root model, the Instrumental Variables model...
Persistent link: https://www.econbiz.de/10011349180
We show that the Anderson-Rubin (AR) statistic is the sum of two independent piv-otal statistics. One statistic is a score statistic that tests location and the other statistictests misspecification. The chi-squared distribution of the location statistic has a degreesof freedom parameter that is...
Persistent link: https://www.econbiz.de/10011326948
-generation process, the least-squares estimators have smaller bias (in fact zero bias) but larger variances in the long regression than … in the short regression. But if the long regression is also misspecified, the bias may not be smaller. We provide bias …
Persistent link: https://www.econbiz.de/10010532602
We introduce a new estimation framework which extends the Generalized Method of Moments (GMM) to settings where a subset of the parameters vary over time with unknown dynamics. To filter out the dynamic path of the time-varying parameter, we approximate the dynamics by an autoregressive process...
Persistent link: https://www.econbiz.de/10011431471
Gauss' 1809 discussion of least squares, which can be viewed as the beginning of mathematical statistics, is reviewed. The general consensus seems to be that Gauss' arguments are at fault, but we show that his reasoning is in fact correct, given his self-imposed restrictions, and persuasive...
Persistent link: https://www.econbiz.de/10012795337
Persistent link: https://www.econbiz.de/10010191207
Persistent link: https://www.econbiz.de/10000151660
We propose a first order bias correction term for the Gini index to reduce the bias due to grouping. The first order … reveals an intuitive formula for the remaining second order bias which is useful in empirical analyses. We analyze the … it reduces a considerable share of the bias due to grouping. …
Persistent link: https://www.econbiz.de/10011377108