@article{bafe92980df346ec8d79a49733ae6d8e, title = "Limit representations of imprecise random fields", abstract = "In order to describe spatially uncertain parameters by random fields, the underlying autocorrelation structure in engineering structures is usually not known.. The idea of imprecise random fields is to acknowledge this lack of knowledge by adding epistemic uncertainties. Within this contribution the influence of the correlation length is studied. In particular, it is shown that there exist bounds that limit the case of having no idea at all. This “absolutely no idea p-box” is defined by white noise and the random variable corresponding to the mean value and standard deviation of the imprecise random field. By this, the limits of having “absolutely no idea” can be described without the need of Karhunen-Lo{\`e}ve expansion and random field propagation. Then, at least for linear problems, every response in between can be estimated by linear interpolation without any need for sampling.", keywords = "Imprecise random fields, Interval valued correlation length, Karhunen-Lo{\`e}ve expansion, Stochastic finite element method", author = "Dannert, {Mona M.} and H{\"a}ufler, {Johannes L.} and Udo Nackenhorst", year = "2021", doi = "10.7712/120221.8024.19110", language = "English", volume = "2021", note = "4th International Conference on Uncertainty Quantification in Computational Sciences and Engineering, UNCECOMP 2021 ; Conference date: 28-06-2021 Through 30-06-2021", }