Das Buch gibt einen Einstieg in die Wirtschaftsmathematik. Es führt ein in verschiedene mathematische Modelle und erklärt ihre Anwendungen in der Ökonomie. Neben der klassischen Analysis und der Linearen Algebra findet der Leser auch ein Kapitel zur Finanzmathematik. Das Buch dient dazu, die...

The limiting behavior of the hazard rate of coherent systems based on sequential order statistics is examined. Related results for the survival function of the system lifetime are also considered. For deriving the results, properties of limits involving a relevation transform are studied in...

In the model of sequential order statistics, prior distributions are considered for the model parameters, which, for example, describe increasing load put on remaining components. Gamma priors are examined as well as priors out of a class of extended truncated Erlang distributions (ETED), which...

Multivariate dependence of spacings of generalized order statistics is studied. It is shown that spacings of generalized order statistics from DFR (IFR) distributions have the CIS (CDS) property. By restricting the choice of the model parameters and strengthening the assumptions on the...

Optimal censoring schemes in the model of progressive type II censoring are obtained for a location-scale family of distributions which includes exponential, uniform and Pareto distributions. In the one-parameter set-up the variance of the respective BLUE is used as an optimality criterion. In...