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- W102768109 abstract "We consider the inverse regression model Y = Hf (X) + ε for several classes of non- linear Hammerstein integral operators H. In particular identifiability depending on the integral kernel is discussed. We introduce estimators for parametric functions f with discontinuities of certain order including piecewise polynomials with kinks or jumps or free-knot splines respectively. We derive rates of convergence and asymptotic normality of these estimators and a data example from rheology illustrates the results. An ex- tension of the model for functions f from approximation spaces of parametric piecewise continuous functions is presented." @default.
- W102768109 created "2016-06-24" @default.
- W102768109 creator A5002523471 @default.
- W102768109 date "2022-02-20" @default.
- W102768109 modified "2023-10-01" @default.
- W102768109 title "Change point estimation in noisy Hammerstein integral equations" @default.
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- W102768109 doi "https://doi.org/10.53846/goediss-2491" @default.
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