Special functions occupy a central role in mathematical analysis, bridging pure theory and practical application across diverse scientific fields. Their intrinsic properties—such as recurrence ...

The purpose of the Institute of Mathematical Statistics (IMS) is to foster the development and dissemination of the theory and applications of statistics and probability. The Institute was formed at a ...

We obtain an exponential probability inequality for martingales and a uniform probability inequality for the process ∫ g dN, where N is a counting process and where g varies within a class of ...

In everyday speech, exponential growth means runaway expansion. Math class taught us that compound interest, population increase, or radioactive decay are all applications of exponential functions ...