Choquet-Deny Type Functional Equations With Applications to Stochastic Models: Equations With Applications to Probability and Statistics - Rilegato

Rao, C. Radhakrishna; Shanbhag, D. N.

Rilegato

ISBN 10: 0471951048 ISBN 13: 9780471951049

Casa editrice: John Wiley & Sons Inc, 1994

Riassunto

The ICFE was originally introduced to characterize a probability distribution by some invariant property under a stochastic change (damage) to the original random variable, and it is a generalization of a certain version of the Choquet-Deny convolution equation which occurs in potential theory. The solution of the ICFE is obtained using certain properties of exchangeable random elements or martingales, amongst other things.
The solutions to these functional equations provide a unified and elegant approach to characterizations of the exponential, geometric, Pareto, Weibull, stable, Poisson and other distributions under a variety of stochastic properties of the random variable. The ICFE also plays an important role in renewal processes, potential theory and other applications of stochastic processes.
Several illustrative examples are given to show the wide applicability of the ICFE. Besides the general theory associated with the ICFE and related equations, the book introduces new probability tools and techniques which should be of interest to research workers in probability and statistics, as well as those working in other areas such as biology, medicine and engineering.

Su questa edizione

• Editore: John Wiley & Sons Inc
• Data di pubblicazione: 1994
• ISBN 10: 0471951048
• ISBN 13: 9780471951049
• Rilegatura: Copertina rigida
• Numero di pagine: 350