ABSTRACT

Products of Random Variables explores the theory of products of random variables through from distributions and limit theorems, to characterizations, to applications in physics, order statistics, and number theory. It uses entirely probabilistic arguments in actualizing the potential of the asymptotic theory of products of independent random variab

chapter 1|54 pages

Foundations

Foundations and extension of a theorem of Simonelli 1.1 Basic concepts and notation

chapter 2|56 pages

Limit Theorems

General limit theorem s for products Triangular arrays

chapter 3|44 pages

Characterization

Characterizations of probability distribution

chapter 4|44 pages

Interacting particles

4.1 Introduction

chapter C|50 pages

hapter 5 Applications to arithmetical functions

5,1 Introduction

chapter 6|54 pages

Cha pter 6 Miscellaneous results

6.1 Binary variables: the continuity of the