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Likelihood-based sufficient dimension reduction. (English) Zbl 1388.62041
Summary: We obtain the maximum likelihood estimator of the central subspace under conditional normality of the predictors given the response. Analytically and in simulations we found that our new estimator can preform much better than sliced inverse regression, sliced average variance estimation and directional regression, and that it seems quite robust to deviations from normality.

62F10 Point estimation
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