Membership size in the educable cooperative facing uncertain demand

This article explicitly incorporates layoff and hiring costs into a discretetime dynamic model with stationary demand uncertainty, in which managers in a cooperative learn something about the demand process over time, and anticipate learning something about that process. It is shown how the opportunity to learn affects initial membership size and how the knowledge gained induces changes in membership, as well as how risk preferences impact on membership size at any point in time.     

Probleme gleichgewichtsorientierter Inflationserklärungen

Ohne ZusammenfassungHerrn Doz. Abele und Herrn Dr. Beinsen bin ich für die kritische Durchsicht dieser Arbeit zu Dank verpflichtet. Doz. Abele hat mir vor allem allgemeine Hinweise zum Stand der Theorie gegeben, die mich zu dieser Arbeit erst so recht anregten.     

A probability inequality for ranges and its application to maximum range test procedures

Summary It is proved that for any fixed argument the sequence (P _k) of the distribution functions of the ranges ofk i.i.d. univariate random variables is log-concave if the random variables have a log-concave density. If the support of the distribution is an infinite interval and the density is monotonous then the theorem holds also with “log-convex” instead of “log-concave”. The resulting inequalities can be used by a quick algorithm for closed maximum range test procedures for all pairwise comparisons (Royen 1988, 1989a, 1989b). Under the above assumptions the application of this algorithm can be extended e.g. to pairwise comparisons of variances.