For statistical analyses of satellite ozone data. Niu and Tiao introduced a class of space-time regression models which took into account temporal and spatial dependence of the observations. In this paper, asymptotic properties of maximum likelihood estimates of parameters in the models are consider
Corrected maximum-likelihood estimation in a class of symmetric nonlinear regression models
β Scribed by Gauss M. Cordeiro; Silvia L.P. Ferrari; Miguel A. Uribe-Opazo; Klaus L.P. Vasconcellos
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 122 KB
- Volume
- 46
- Category
- Article
- ISSN
- 0167-7152
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β¦ Synopsis
In this paper we derive general formulae for second-order biases of maximum-likelihood estimates in a class of symmetric nonlinear regression models. This class of models is commonly used for the analysis of data containing extreme or outlying observations in samples from a supposedly normal distribution. The formulae of the biases can be computed by means of an ordinary linear regression. They generalize some previous results by Cook et al.
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A derivation of the maximum likelihood ratio test for testing no outliere in regreeeion models h given ueing the method of WETEXEILL (1981, pp. 106-107) for estimating the regreeeion parsmetere. This method h eseentially eimilar to the one outlined in B a s m and Lmwm (1978, p. 283), although by our