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 ...

Other second-order expansions (Hartigan 1965; Johnson 1970; Lindley 1961, 1980; Mosteller and Wallace 1964) require computation of more derivatives of the log-likelihood function. In this article we ...

Exponential growth is a pattern of data that shows greater increases with passing time, creating the curve of an exponential function.

Matthew Yglesias waxes rhapsodic about being on the "back half of the chessboard" in terms of the exponential growth of computer technologies. The point of this, in terms of technological progress ...