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 affect it …

This paper describes the use of GLDEX in R to fit distributions to empirical data using the
discretized and maximum likelihood methods. The GLDEX package also provides …

Patrolling an environment with multiple robots is a problem with applicability to both military
activities and other areas requiring security. In an adversarial environment, wireless …

Diurnal temperature range is an important variable in climate science that can provide
information regarding climate variability and climate change. Changes in diurnal …

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 …

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 determined by …

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 …

The median absolute deviation (MAD) is a robust measure of scale that is simple to
implement, easy to interpret and often reported as a measure of dispersion when data is …

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 …

We use the quantile function to define statistical models. In particular, we present a five‐
parameter version of the generalized lambda distribution (FPLD). Three alternative methods …