Develops a joint Catoni-type framework that simultaneously estimates parameters and variance in heavy-tailed models via coupled equations, achieving oracle-matching non-asymptotic bounds under 2β-moment assumptions using a Poincaré-Miranda proof technique.
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Tuning free Catoni type joint robust estimation
Develops a joint Catoni-type framework that simultaneously estimates parameters and variance in heavy-tailed models via coupled equations, achieving oracle-matching non-asymptotic bounds under 2β-moment assumptions using a Poincaré-Miranda proof technique.