A Unified Derivation of Some Non-Parametric Distributions
Carl‐Erik Särndal · Journal of the American Statistical Association · 1964
This paper presents a unified derivation of a number of parameter-free distributions, some of which have appeared earlier in the literature. The starting point is the information provided by a random sample drawn from a certain population and the frequencies observed in a number of mutually exclusive classes. Several types of populations and several ways of defining the classes are considered. The distributions derived concern the unknown class frequencies and the unknown cumulative class frequencies in the population, or in a second independent sample.