Design-Based Estimation for Geometric Quantiles

Design-based estimation for geometric quantiles with application to outlier detection

The Effect of Education on Labor Wages in Iranian Urban Households Based on Quantile Regression

The purpose of this article is to examine the impact of education and work experience on earning. For this purpose, Mincer’s wage equation, quantile regression estimation method and the microdata from Iranian survey of household income and expenses in 2016 have been used. Estimation results show that education returns are positive in all income quantiles, and education in lower-income quantiles...

Estimation of E(Y) from a Population with Known Quantiles

‎In this paper‎, ‎we  consider the problem of  estimating E(Y) based on a simple random sample when at least one of the population quantiles is known‎. ‎We propose a stratified estimator of  E(Y)‎, ‎and show that it is strongly consistent‎. ‎We then establish the asymptotic normality of the suggested estimator‎, ‎and prove that it ...

Multivariate Spatial U-Quantiles: a Bahadur-Kiefer Representation, a Theil-Sen Estimator for Multiple Regression, and a Robust Dispersion Estimator

A leading multivariate extension of the univariate quantiles is the so-called “spatial” or “geometric” notion, for which sample versions are highly robust and conveniently satisfy a Bahadur-Kiefer representation. Another extension of univariate quantiles has been to univariate U-quantiles, on the basis of which, for example, the well-known Hodges-Lehmann location estimator has a natural formula...

Estimation of Design Floods Using Continuous Simulation

A common problem encountered by catchment managers is the estimation of design peak flow quantiles. Current practice, as discussed by Pilgrim (1987), is based either on the use of statistical approaches such as an at-site flood frequency analysis, or the use of a catchment modelling system to simulate catchment response to design rainfall. For many practical problems, the option of an at-site f...