Logo Lanfrica
  • Home
  • Atlas
  • Insights
  • Docs
  • Sign in

© 2026 Lanfrica. All rights reserved. All copyrights of the resources shown on the Lanfrica website belong to the original copyright holders, unless explicitly stated otherwise.

Asymptotic Distribution and Simultaneous Confidence Bands for Ratios of Quantile Functions

Domain:

socioeconomic

Record type:

paper
Creator:
DunKlaKri
Host:avatar
Ratio of medians or other suitable quantiles of two distributions is widely used in medical research to compare treatment and control groups or in economics to compare various economic variables when repeated cross-sectional data are available. Inspired by the so-called growth incidence curves introduced in poverty research, we argue that the ratio of quantile functions is a more appropriate and informative tool to compare two distributions. We present an estimator for the ratio of quantile functions and develop corresponding simultaneous confidence bands, which allow to assess significance of certain features of the quantile functions ratio. Derived simultaneous confidence bands rely on the asymptotic distribution of the quantile functions ratio and do not require re-sampling techniques. The performance of the simultaneous confidence bands is demonstrated in simulations. Analysis of the expenditure data from Uganda in years 1999, 2002 and 2005 illustrates the relevance of our approach.

Visit

arxiv.org

Tags

MethodologyEconometricsApplications62G15, 62G30

Similar

Time series plots and 10 years yield forecast with fitted ARIMA models showing 80% and 95% confidence bands for crops in Burundi.A Quantile Functions-Based Investigation on the Characteristics of Southern African Solar Irradiation DataDistribution of Budget Shares for Food: An Application of Quantile Regression to Food Security 1Time series plots along with 10 years yield forecast for the fitted ARIMA models showing 80% and 95% prediction confidence bands for crops in Rwanda.Time series plots along with 10 years yield forecast for the fitted ARIMA models showing 80% and 95% prediction confidence bands for crops in Kenya.Time series plots along with 10 years yield forecast for the fitted ARIMA models showing 80% and 95% prediction confidence bands for crops in Tanzania.

Time series plots and 10 years yield forecast with fitted ARIMA models showing 80% and 95% confidence bands for crops in Burundi.

Time series plots and 10 years yield forecast with fitted ARIMA models showing 80% and 95% confid

A Quantile Functions-Based Investigation on the Characteristics of Southern African Solar Irradiation Data

Exploration of solar irradiance can greatly assist in understanding how renewable energy can be bett

Distribution of Budget Shares for Food: An Application of Quantile Regression to Food Security 1

This study examines, using quantile regression, the linkage between food security and efforts to enh

Time series plots along with 10 years yield forecast for the fitted ARIMA models showing 80% and 95% prediction confidence bands for crops in Rwanda.

Time series plots along with 10 years yield forecast for the fitted ARIMA models showing 80% and

Time series plots along with 10 years yield forecast for the fitted ARIMA models showing 80% and 95% prediction confidence bands for crops in Kenya.

Time series plots along with 10 years yield forecast for the fitted ARIMA models showing 80% and

Time series plots along with 10 years yield forecast for the fitted ARIMA models showing 80% and 95% prediction confidence bands for crops in Tanzania.

Time series plots along with 10 years yield forecast for the fitted ARIMA models showing 80% and