Introduction

For quantifying physical parameters such as geometry, material, or loading parameters, real numbers or integers are mainly applied, i.e., a deterministic data model is applied. In order to describe randomness resulting from imprecise readings or fluctuating ambient conditions, measurements are repeated and lumped together in a concrete data sample. Mathematical statistics offers methods for describing data samples with the aid of random variables. A common approach for this purpose is to specify a probability distribution function in order to obtain a stochastic data model.