This is a preview. Log in through your library . Publisher Information The purpose of the Institute of Mathematical Statistics (IMS) is to foster the development and dissemination of the theory and ...

Inhalt: Renewal theory deals with the finer structure of random walks with positive drift, that is, sums of independent, identically distributed random variables with positive mean. In the more ...

Probability theory forms the mathematical backbone for quantifying uncertainty and random events, providing a rigorous language with which to describe both everyday phenomena and complex scientific ...

Some fundamental properties of the empirical distribution function are derived in the case of independent but not necessarily identically distributed random variables. The distribution functions of ...