ONESAM, A Computer Program for Nonparametric Data Analysis and Goodness of Fit.

A Quantile Function Approach to the K-Sample Quantile Regression Problem.

“…The purpose of this dissertation is to investigate a method for determining such estimators based on the approach to quantile functions presented by Parzen (1979a).…”

“…In Section 3, Parzen's (1979a) nonparametric data modeling method of determining Q, for one population is described and extended to determining a common Q for k populations. An estimator of 0 the shape parameter y is proposed and its properties are investigated.…”

“…In Section ?oi we introduce the quantile function notation of Parzen (1979a) and state some useful theorems and properties of the quantile function. In Section 2.2 we define the Weibull and extreme value distributions and provide plots of the Weibull quantile and density quantile functions for a range of values of its shape parameter.…”

“…The procedure is based on the work of Parzen (1979a) in the theory of quantile functions and is applicable to a wide range of distributional families.…”

“…First, a goodnessof-fit procedure for determining the common distributional shape of the k populations generalizes the one-population data modeling techniques of Parzen (1979a). An estimator of the shape parameter of a distribution is also investigated.…”