Performance of cyclic redundancy checks using error-correcting codes

Every day an extremely large amount of messages get sent over the internet, radio, WiFi, etc. These messages need to be encoded in order to protect the important data. However just like many of these systems messages can get corrupted over a certain channel due to noise, fluctuations in power or temperature etc. [2] Therefore cyclic redundancy...

Estimating normalizing constants using stochastic simulation

The computation of normalizing constants often brings (higher-dimensional) integrals, which could not be computed analytically or are computationally expensive. Stochastic methods will be explored to find an estimate for normalizing constants. These stochastic methods will be used to estimate the Bayes factor. With this Bayes factor can be...

Extremal graphs for threshold metric dimension

In this thesis, we consider the threshold metric dimension problem of graphs, related to and motivated by source detection.<br/>We construct a graph G = (V,E) for a given set of sensors of size m: {s1, s2, ..., sm} and a range k &gt; 0. We want that each node v ∈ V has a unique combination of distances (dk (s1, v),dk (s2, v), ...,dk (sm, v)),...

Mathematics as a secret weapon against criminals: Employing score-based likelihood ratio systems for the comparison of handwriting and studying their quality of performance

In this report a new approach to (forensic) handwriting analysis is presented; score-based likelihood ratio (SLR) systems are employed and their quality of performance is studied. These systems compare elements of handwriting based on their characteristics and give an insight into the degree of uncertainty of the statement that two writings have...