Provides in an organized manner characterizations of univariate probability distributions with many new results published in this area since the 1978 work of Golambos & Kotz "Characterizations of Probability Distributions" (Springer), together with applications of the theory in model fitting and predictions.

1.  Introduction.-  2. Some Continuous Distributions.- 3. Characterizations 0f Distributions by Independent Copies.- 4. Characterizations by Order Statistics.- 5. Characterizations by Record Values.-  6.Characterizations by Generalized Order Statistics.