Limit Distributions for Sums of Independent Random Variables

PART I: Probability Distributions: Random Variables and Mathematical Expectations; Distribution in R and Their Characteristic Functions; Infinitely Divisible Distributions; PART II: General Limit Theorems; General Limit Theorems for Sums of Independent Terms; Convergence to Normal, Poisson and Unitary Distributions; Limit Theorems for Increasing Sums; Classes of the Limit Distributions Gk; PART III: Indentically Distributed Commands; Fundamental Limit Theorems; Specification of Theorems on Convergence to the Normal Law; Local Limit Theorems for the Case of Lattice Distributions; From the History of the Limit Theorems for Sums of Independent Summands.