A PHASE relation familiar to students of applied mathematics exists between a simple harmonic oscillation and its derivative. Similar relations exist between exponential functions and their ...

A parametrization exists for which the log-likelihood function is a quadratic form in the parameter. The derived structure of these models is utilized to show that they have nice statistical ...

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 ...