Pearson diffusions are governed by diffusion equations with polynomial coefficients. Fractional Pearson diffusions are governed by the corresponding time-fractional diffusion equation. They are useful for modeling sub-diffusive phenomena, caused by particle sticking and trapping. This paper provides explicit strong solutions for fractional Pearson diffusions, using spectral methods. It also pre...

We extend the classical Neyman-Pearson theory for testing composite hypotheses versus composite alternatives, using a convex duality approach as in Witting (1985). Results of Aubin & Ekeland (1984) from non-smooth convex analysis are employed, along with a theorem of Komll os (1967), in order to establish the existence of a max-min optimal test and to investigate its properties. The theory is i...

This group began with an open brainstorming session intended to identify major political, economic and social issues raised by the information revolution that had not, in the view of participants, been sufficiently addressed in the conference plenary sessions. Such issues would be of concern to Europe but not exclusively so. Next the group focused its attention on information revolution questio...