The simplest problem with boundary layers, $\epsilon ^{2}u_{xx}-u=-f(x)$, is used to illustrate (i) why the perturbation series in powers of ε is asymptotic but divergent, (ii) why the optimally ...

The paper investigates certain asymptotic properties of the test of randomness based on the statistic Rh = ∑n i=1 xix i+h proposed by Wald and Wolfowitz. It is shown that the conditions given in the ...

In this Artificial Intelligence podcast with Lex Fridman, computer scientist Donald Knuth discusses Alan Turing, Neural networks, machine learning and other AI topics from ant colonies and human ...

We demonstrate the impact of conditional correlation on an asymptotic single risk factor model within the framework of dynamic credit provisioning and stress testing. Specifically, we show the effect ...

This course is available on the BSc in Business Mathematics and Statistics, BSc in Mathematics and Economics, BSc in Mathematics with Economics and BSc in Statistics with Finance. This course is ...