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 variables and obtaining results with dependent variables using a new Bonferroni-type argument.Systematically and comprehensively tracks the progression of research completed in the area over the last twenty years.Well-indexed and well-referenced, Products of Random VariablesClarifies foundational concepts such as symmetric and limiting distributions of productsExamines various limit theorems, from logarithmically Poisson distributions to triangular arraysExplores characterization theorems, detailing normal, Cauchy, and bivariate distributionsDescribes models of interactive particlesElucidates dual systems of interactive particles, dual systems of increasing size, and random walksCovers the Kubilius-Turán inequality and distributions for multiplicative functionsProbes sequences of prime divisors and prime numbersDiscusses Markov chains, Hilbert spaces, and quotients of random variablesPresents income growth models and numerous other applied models tapping products of random variablesAuthored by eminent scholars in the field, this volume is an important research reference for applied mathematicians, statisticians, physicists, and graduate students in these disciplines.

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