## Abstract

We introduce a robust regression method for imprecise data, and apply it to social survey data. Our method combines nonparametric likelihood inference with imprecise probability, so that only very weak assumptions are needed and different kinds of uncertainty can be taken into account. The proposed regression method is based on interval dominance: interval estimates of quantiles of the error distribution are used to identify plausible descriptions of the relationship of interest. In the application to social survey data, the resulting set of plausible descriptions is relatively large, reflecting the amount of uncertainty inherent in the analyzed data set.

Original language | English |
---|---|

Title of host publication | Proceedings of the 7th International Symposium on Imprecise Probability: Theories and Applications |

Pages | 119-128 |

Number of pages | 10 |

Publication status | Published - Jul 2011 |

Event | ISIPTA 2011 - Innsbruck, Austria Duration: 25 Jul 2011 → 28 Jul 2011 |

### Conference

Conference | ISIPTA 2011 |
---|---|

Country/Territory | Austria |

City | Innsbruck |

Period | 25/07/11 → 28/07/11 |

## Keywords

- Complex uncertainty
- Identification regions
- Imprecise data
- Imprecise probability distributions
- Informative coarsening
- Interval dominance
- Likelihood inference
- Nonparametric statistics
- Robust regression
- Survey data