Maurice J. Frank
- Professor Emeritus of Applied Mathematics
Education
Ph.D. - Illinois Insitute of Technology
Publications
On the simultaneous associativity of F(x,y) and x+y-F(x,y), Aeqationes Math. (19) 1979, 194-226.
Best-possible bounds for the distribution of a sum - a problem of Kolmogorov, with R.B. Nelsen and B. Schweizer, Probab. Theory Related Fields (74) 1987, 199-211.
Convolutions for dependent random variables, in Advances in Probability Distributions with Given Marginals , Kluwer, 1991, 75-93.
Generalization of independent response model for toxic mixtures, with C. Haas et.al., Chemosphere (34) 1997, 699-710.
Associative Functions: Triangular Norms and Copulas, with C. Alsina and B. Schweizer, World Scientific, 2006.
Expertise
Functional equations, associativity and related equations, iterative equations and systems; probability distribution theory, probabilistic geometry; iteration, nonlinear dynamics.