Modularization of hybrid censoring schemes and its application to unified progressive hybrid censoring

In this paper, a structural analysis of hybrid censoring models is presented. This new modularization approach to hybrid censoring models enables a convenient derivation of distributional results. For instance, it allows to derive the exact distribution of the MLEs under an exponential assumption for very complex hybrid scenarios. In order to illustrate the benefit of this idea, we apply it to four new unified progressive hybrid censoring schemes. They are extensions of already proposed unified Type-I/II/III/IV hybrid censoring schemes to progressively Type-II censored data. The resulting analysis shows that the modularization approach provides a powerful, efficient, and elegant tool to study even more complex hybrid censoring models.     

Marginal distributions of sequential and generalized order statistics

Expressions for marginal distribution functions of sequential order statistics and generalized order statistics are presented without any restrictions imposed on the model parameters. The results are related to the relevation transform, to the distribution of the product of Beta distributed random variables, and to Meijers G-functions. Some selected applications in the areas of moments, conditional distributions, recurrence relations, and reliability properties are shown. Key words:Order statistics; Generalized order statistics; Sequential order statistics; Record values; Distribution theory; Meijers G-function; Recurrence relations; Reliability properties.     

Widerstände und Hindernisse auf dem Wege zur sozialen Marktwirtschaft

Ohne Zusammenfassung     

Die Geldnachfrage in Österreich

Ohne ZusammenfassungDiese Arbeit wurde als Forschungsprojekt am Institut für höhere Studien, Wien, verfaßt. Die Verfasser danken Dr. H. Otruba, Assistent am Institut für Wirtschaftswissenschaften der Universität Wien, für eine kritische Durchsicht des Manuskripts und für wertvolle Kommentare.     

Germany's international competitiveness

Germany's merits as a business location are being increasingly questioned. Is the competitiveness of the German economy actually in jeopardy? How could possible weaknesses be rectified?     

An Elementary Upper Bound for the Loading of a Stoploss Cover

Abstract

The famous reinsurance treaty, called stoploss cover, is reconsidered. By applying the well-known Cauchy-Schwarz inequality an elementary bound is derived for the variance of the claims amount taken by the reinsurer. This gives an upper bound for the loading of the treaty in case of using the standard deviation or variance principle.