English

A logistic regression analysis approach for sample survey data based on phi-divergence measures

Methodology 2016-11-09 v1

Abstract

A new family of minimum distance estimators for binary logistic regression models based on ϕ\phi-divergence measures is introduced. The so called "pseudo minimum phi-divergence estimator"(PMϕ\phiE) family is presented as an extension of "minimum phi-divergence estimator" (Mϕ\phiE) for general sample survey designs and contains, as a particular case, the pseudo maximum likelihood estimator (PMLE) considered in Roberts et al. \cite{r}. Through a simulation study it is shown that some PMϕ\phiEs have a better behaviour, in terms of efficiency, than the PMLE.

Keywords

Cite

@article{arxiv.1611.02583,
  title  = {A logistic regression analysis approach for sample survey data based on phi-divergence measures},
  author = {Elena Castilla and Nirian Martin and Leandro Pardo},
  journal= {arXiv preprint arXiv:1611.02583},
  year   = {2016}
}
R2 v1 2026-06-22T16:45:43.811Z