书目名称 | Robust Methods and Asymptotic Theory in Nonlinear Econometrics |
编辑 | Herman J. Bierens |
视频video | |
丛书名称 | Lecture Notes in Economics and Mathematical Systems |
图书封面 |  |
描述 | This Lecture Note deals with asymptotic properties, i.e. weak and strong consistency and asymptotic normality, of parameter estimators of nonlinear regression models and nonlinear structural equations under various assumptions on the distribution of the data. The estimation methods involved are nonlinear least squares estimation (NLLSE), nonlinear robust M-estimation (NLRME) and non linear weighted robust M-estimation (NLWRME) for the regression case and nonlinear two-stage least squares estimation (NL2SLSE) and a new method called minimum information estimation (MIE) for the case of structural equations. The asymptotic properties of the NLLSE and the two robust M-estimation methods are derived from further elaborations of results of Jennrich. Special attention is payed to the comparison of the asymptotic efficiency of NLLSE and NLRME. It is shown that if the tails of the error distribution are fatter than those of the normal distribution NLRME is more efficient than NLLSE. The NLWRME method is appropriate if the distributions of both the errors and the regressors have fat tails. This study also improves and extends the NL2SLSE theory of Amemiya. The method involved is a variant o |
出版日期 | Book 1981 |
关键词 | Asymptotische Wirksamkeit; Econometrics; Estimator; Nichtlineares Modell; Probability theory; Random vari |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-642-45529-2 |
isbn_softcover | 978-3-540-10838-2 |
isbn_ebook | 978-3-642-45529-2Series ISSN 0075-8442 Series E-ISSN 2196-9957 |
issn_series | 0075-8442 |
copyright | Springer-Verlag Berlin Heidelberg 1981 |