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 ...

Essentially, apodization has the ability to improve the sensitivity (S/N ratio) or the resolution in the spectrum and to even eliminate truncation artifacts following data collection. This function is ...

The normal, Poisson, gamma, binomial, and negative binomial distributions are univariate natural exponential families with quadratic variance functions (the variance is at most a quadratic function 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.