Limit Theorems of Probability Theory (Hardcover)

Hardcover. This book is devoted to limit theorems and probability inequalities for sums of independent random variables. It includes limit theorems on convergence to infinitely divisible distributions, the central limit theorem with rates of convergence, the weak and strong law of large numbers, the law of the iterated logarithm, and also many inequalities for sums of an arbitrary number of random variables.The aim of the book is two-fold. First, thebook can be a basis for a course in probability for graduate or advanced undergraduate students. Second, the book can serve as a reference formulations of many (mostly recent) results which areusually inaccessible in book form. These supplements border on the basic text and make it possible for the reader to look at the frontier of modern investigations. Devoted to limit theorems and probability inequalities for sums of independent random variables, both the classical and the most recent results are explained, and every chapter has supplements with formulations of many of these results. This item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.…