This paper investigates the identification of quantiles and quantile regression parameters when observations are set valued. We define random sets in a way that extends definition for regular variables. then give sharp characterization this by extending concepts from theory. Applying its sharpness to parametric models yields sharpness. apply our methods data on localized environmental benefits ...

a study was undertaken in southern peninsular state of india, the tamil nadu state, to assess the farmers’ “willingness to pay” (wtp) for receiving annual health care services to their dairy animals. the districts of the state were categorized as “livestock developed” (ld) and “livestock under developed” (lud) based on initial base line developed. contingent valuation (cv) approach was used to ...

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 di...