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 structure of exponential families of stochastic processes with a time-continuous likelihood function is investigated by means of semimartingale theory. The time-homogeneous exponential families of ...

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

Scandinavian Journal of Statistics, Vol. 18, No. 1 (1991), pp. 77-89 (13 pages) By generalizing the inverse Gaussian distribution function, we obtain a new three-parameter family of distributions ...