RT Journal Article T1 Robust semiparametric inference for polytomous logisticregression with complex survey design A1 Castilla González, Elena María A1 Ghosh, Abhik A1 Martín Apaolaza, Nirian A1 Pardo Llorente, Leandro AB Analyzing polytomous response from a complex survey scheme, like stratified or cluster sampling is very crucial in several socio-economics applications. We present a class of minimum quasi weighted density power divergence estimators for the polytomous logistic regression model with such a complex survey. This family of semiparametric estimators is a robust generalization of the maximum quasi weighted likelihood estimator exploiting the advantages of the popular density power divergence measure. Accordingly robust estimators for the design effects are also derived. Using the new estimators, robust testing of general linear hypotheses on the regression coefficients are proposed. Their asymptotic distributions and robustness properties are theoretically studied and also empirically validated through a numerical example and an extensive Monte Carlo study PB Springer SN 1862-5347 YR 2020 FD 2020-11-23 LK https://hdl.handle.net/20.500.14352/7580 UL https://hdl.handle.net/20.500.14352/7580 LA eng NO Ministerio de Ciencia e Innovación (MICINN) DS Docta Complutense RD 6 oct 2024