185 citations · 268 across the 13 of their papers we have counts for
13 papers
rquest: An R package for hypothesis tests and confidence intervals for quantiles and summary measures based on quantiles
Luke A. Prendergast, Shenal Dedduwakumara, Robert G. Staudte
Sample quantiles, such as the median, are often better suited than the sample mean for summarising location characteristics of a data set. Similarly, linear combinations of sample…
Evidence for goodness of fit in Karl Pearson chi-squared statistics
Robert G. Staudte
Chi-squared tests for lack of fit are traditionally employed to find evidence against a hypothesized model, with the model accepted if the Karl Pearson statistic comparing observed…
Insights and inference for the proportion below the relative poverty line
Dilanka S. Dedduwakumara, Luke A. Prendergast, Robert G. Staudte
We examine a commonly used relative poverty measure called the headcount ratio (), defined to be the proportion of incomes falling below the relative poverty line, which is de…
An efficient estimator of the parameters of the Generalized Lambda Distribution
Dilanka S. Dedduwakumara, Luke A. Prendergast, Robert G. Staudte
Estimation of the four generalized lambda distribution parameters is not straightforward, and available estimators that perform best have large computation times. In this paper, we…
Robust analogs to the Coefficient of Variation
Chandima N. P. G. Arachchige, Luke A. Prendergast, Robert G. Staudte
The coefficient of variation (CV) is commonly used to measure relative dispersion. However, since it is based on the sample mean and standard deviation, outliers can adversely affe…
Decomposing the Quantile Ratio Index with applications to Australian income and wealth data
Luke A. Prendergast, Robert G. Staudte
The quantile ratio index introduced by Prendergast and Staudte 2017 is a simple and effective measure of relative inequality for income data that is resistant to outliers. It measu…
Divergence from, and Convergence to, Uniformity of Probability Density Quantiles
Robert Staudte, Aihua Xia
The probability density quantile (pdQ) carries essential information regarding shape and tail behavior of a location-scale family. Convergence of repeated applications of the pdQ m…
The Shapes of Things to Come: Probability Density Quantiles
Robert G. Staudte
For every discrete or continuous location-scale family having a square-integrable density, there is a unique continuous probability distribution on the unit interval that is determ…
A Simple and Effective Inequality Measure
Luke A. Prendergast, Robert G. Staudte
Ratios of quantiles are often computed for income distributions as rough measures of inequality, and inference for such ratios have recently become available. The special case when…
Quantile Versions of the Lorenz Curve
Luke A. Prendergast, Robert G. Staudte
The classical Lorenz curve is often used to depict inequality in a population of incomes, and the associated Gini coefficient is relied upon to make comparisons between different c…
When large n is not enough---Distribution-free Interval Estimators for Ratios of Quantiles
Luke A. Prendergast, Robert G. Staudte
Ratios of sample percentiles or of quantiles based on a single sample are often published for skewed income data to illustrate aspects of income inequality, but distribution-free c…
Exploiting the Quantile Optimality Ratio to Obtain Better Confidence Intervals for Quantiles
Luke A. Prendergast, Robert G. Staudte
A standard approach to confidence intervals for quantiles requires good estimates of the quantile density. The optimal bandwidth for kernel estimation of the quantile density depen…
Inference for Quantile Measures of Kurtosis, Peakedness and Tail-weight
R. G Staudte
Many measures of peakedness, heavy-tailedness and kurtosis have been proposed in the literature, mainly because kurtosis, as originally defined, is a complex combination of the oth…