## Abstract This paper considers maximum likelihood estimation in a regression model when the errors follow a first‐order moving average model which is non‐invertible or nearly non‐invertible. The latter corresponds to a moving average parameter θ that is equal to or close to 1. The joint limiting
On inference for a semiparametric partially linear regression model with serially correlated errors
✍ Scribed by Jinhong You; Gemai Chen
- Publisher
- John Wiley and Sons
- Year
- 2007
- Tongue
- French
- Weight
- 980 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0319-5724
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✦ Synopsis
Abstract
The authors consider a semiparametric partially linear regression model with serially correlated errors. They propose a new way of estimating the error structure which has the advantage that it does not involve any nonparametric estimation. This allows them to develop an inference procedure consisting of a bandwidth selection method, an efficient semiparametric generalized least squares estimator of the parametric component, a goodness‐of‐fit test based on the bootstrap, and a technique for selecting significant covariates in the parametric component. They assess their approach through simulation studies and illustrate it with a concrete application.
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