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Likelihood-based inference for the power regression model. (English) Zbl 1396.62166

Summary: In this paper we investigate an extension of the power-normal model, called the alpha-power model and specialize it to linear and nonlinear regression models, with and without correlated errors. Maximum likelihood estimation is considered with explicit derivation of the observed and expected Fisher information matrices. Applications are considered for the Australian athletes data set and also to a data set studied in [F.-C. Xie et al., Comput. Stat. Data Anal. 53, No. 12, 4403–4416 (2009; Zbl 1453.62253)]. The main conclusion is that the proposed model can be a viable alternative in situations were the normal distribution is not the most adequate model.

MSC:

62J05 Linear regression; mixed models
62F10 Point estimation
60E05 Probability distributions: general theory

Citations:

Zbl 1453.62253

Software:

gss; fda (R); R; dobson
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