Front Cover; Preface; Contents; Contributors; 1. The Shapes of the Probability Density, Hazard, and Reverse Hazard Functions; 2. Stochastic Ordering of Risks, Influence of Dependence, and A.S. Constructions; 3. The q-Factorial Moments of Discrete q-Distributions and a Characterization of the Euler Distribution; 4. On the Characterization of Distributions through the Properties of Conditional Expectations of Order Statistics; 5. Characterization of the Exponential Distribution by Conditional Expectations of Generalized Spacings
Summary
A clear understanding of the properties of statistical distributions is critical for the development of optimal inferential methods and the validation of the resulting model assumptions. Containing 14 contributions from specialists, this volume explores recent developments in the field of characterizations and other important properties of several