We consider probability metrics of the following type: for a class F of functions and probability measures P, Q we define $d_{\germ{F}}(P,\ Q)\coloneq \text{sup}_{f ...

This is a preview. Log in through your library . Abstract In the random walk whose state space is a subset of the non-negative integers explicit representations for the generating functions of the ...

As is well known, the normal distribution is a key tool in probability and statistics. It can be described as a distribution that obeys a universal rule derived from one of the most important theorems ...