CHOQUET-DENY TYPE FUNCTIONAL EQUATIONS WITH APPLICATIONS TO STOCHASTIC MODELS

Concentrates on solutions of the Integrated Cauchy Functional Equation (ICFE) under different conditions. Demonstrates that results from a variety of characterization problems involving discrete and continuous distributions can be more easily obtained by utilizing the solution of an appropriate ICFE. Discussion of applications of the ICFE in characterizing stochastic models is included, with additional examples from areas such as renewal processes and potential theory.