Background: Polymer gel dosimeters combined with magnetic resonance imaging (MRI) can be used for dose verification of advanced radiation therapy techniques. However, the uncertainty of dose map measured by gel dosimeter should be known. The purpose of this study is to investigate the uncertainty related to calibration curve and MRI protocol for MAGIC (Methacrylic and Ascorbic acid in Gelatin I...

uncertainty associated with mixing models is often substantial, but has not yet been fully incorporated in models. the objective of this study is to develop and apply a bayesian-mixing model that estimates probability distributions of source contributions to a mixture associated with multiple sources for assessing the uncertainty estimation in sediment fingerprinting in zidasht catchment, iran....

Failure to timely identify the occurrence of various shocks in the foreign exchange market due to the close relationship with the monetary, macroeconomic, and financial uncertainty can lead to crises and imbalances. In this paper, the effect of exchange rate and investor confidence on monetary and economic uncertainty in Iran is investigated, specifying a Multivariate GARCH model and the Grange...

Zbigniew Puchała, Łukasz Rudnicki, Karol Życzkowski Institute of Theoretical and Applied Informatics, Polish Academy of Sciences, Bałtycka 5, 44-100 Gliwice, Poland Institute of Physics, Jagiellonian University, ul. Reymonta 4, 30-059 Kraków, Poland Center for Theoretical Physics, Polish Academy of Sciences, al. Lotników 32/46, 02-668 Warszawa, Poland Freiburg Insitute for Advanced Studies, Alb...

This paper introduces a novel boundary integral approach of shape uncertainty quantification for the Helmholtz scattering problem in the framework of the so-called parametric method. The key idea is to form a low-dimensional spatial embedding within the family of uncertain boundary deformations via the Coarea formula. The embedding, essentially, encompasses any irregular behavior of the boundar...

We study the effect of the uncertainty in the induced microseismic event locations and origin times on the inverted fluid pressure diffusivity. We use a probabilistic physical model that directly ties fluid pressure in the subsurface during the injection to observations of induced microseismic events at the monitoring receiver array to track the propagation of uncertainty in the forward model a...

Uncertainty theory is a branch of axiomatic mathematics that deals with human uncertainty, and uncertain variable is used tomodel the uncertain quantities. Inverse uncertainty distribution provides an easy way to calculate the functions of uncertain variables as well as their expected values. This paper mainly presents a formula to calculate the variance of an uncertain variable via the inverse...