Part I: Introduction and Motivation.- 1. Introduction and Motivation.- Part II: New and Refined Observational Evidences of Kappa Distributions in Space Plasmas.- 2. Suprathermal Populations and Their Effects in Space Plasmas: Kappa vs. Maxwellian.- 3. Electron Kappa Distributions in the Solar Wind: Cause of the Acceleration or Consequence of the Expansion?.- 4. Diagnostics of Kappa Distributions from Optically Thin Solar Spectra.- 5. Non-thermal and Kappa Distributions in Solar Flare Radiative Signatures.- Part III: Physics Behind and Significance of Kappa Distributions in Plasma Astrophysics.- 6. Kappa Distribution Function: From Empirical to Physical Concepts.- 7. Kinetic Models of Wave-Electron Interaction in the Solar Corona and Wind.- 8. On Isobaric and Isentropic Distribution Functions of Plasma Particles in the Heliosheath.- 9. Advanced Numerical Tools for Studying Waves and Instabilities in Kappa Distributed Plasmas.- 10. Advanced Interpretation ofWaves and Instabilities in Space Plasmas.- Part IV: Fundamental Aspects, Generalized Kappa Distributions, and Their Implications.- 11. Mathematical and Physical Characteristics of the Kappa Velocity Distribution.- 12. Non-equilibrium Statistical Mechanics of Electron Kappa Distribution.- 13. Regularized Kappa Distributions: Linear Dispersion and Stability Theory.- 14. Kappa Distributions and Entropy.- 15. From Standard Kappa to a Regularized Kappa, or Even More Generalized Kappa Cookbook.- Part V: Concluding Remarks and Future Perspectives.- 16. Kappa Distributions: Concluding Remarks and Perspectives.
