In this paper the genetic algorithm is described, applications in the field of statistics are indicated and it is applied to the estimation of the parameters of a Johnson-type distribution. The convergence behaviour is analyzed with respect to the mutation probability, the kind of mutations and...

In dieser Arbeit werden parametrische Modelle zur Prognose von Spielen der Fußball-Bundesliga geschätzt. Dabei werden in einem ersten Schritt die Spielstärken der beteiligten Mannschaften geschätzt, aus denen zu erwartende Tordifferenzen abgeleitet werden. Hierbei werden verschiedenen...

The Matching Distribution converges to a Poisson Distribution with lambda=1 as the parameter n converges to infinity. A generalization of the Matching Distribution is proposed. The properties of this Generalized Matching Distribution (GMD) turn out to be analogical to the case with lambda=1.

This paper considers the problem of parameter estimation when data of a random sample are given in the form of a frequency table. We give special consideration to a method that linearizes the cumulative distribution function. In that case parameters can be derived from the weighted estimation of...