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This book highlights the forefront of research on statistical distribution theory, with a focus on unconventional random quantities, and on phenomena such as random partitioning. The respective papers reflect the continuing appeal of distribution theory and the lively interest in this classic field, which owes much of its expansion since the 1960s to Professor Masaaki Sibuya, to whom this book is dedicated. The topics addressed include a test procedure for discriminating the (multivariate) Ewens distribution from the Pitman Sampling Formula, approximation to the length of the Ewens distribution by discrete distributions and the normal distribution, and the distribution of the number of levels in [s]-specified random permutations. Also included are distributions associated with orthogonal polynomials with a symmetric matrix argument and the characterization of the Jeffreys prior.
This book presents the state of the art in extreme value theory, with a collection of articles related to a seminal paper on the bivariate extreme value distribution written by Professor Masaaki Sibuya in 1960, demonstrating various developments of the original idea over the last half-century. Written by active researchers, the unique combination of articles allows readers to gain a sense of the excellence of the field, ranging from theory to practice, and the tradition of theoretical developments motivated by practically important issues such as tsunamis and financial crises. The contributions discuss a range of topics, including the parameter estimation of the generalized beta distribution, resampling with the empirical beta copula, and regression analysis on imbalanced binary data, as well as the semiparametric estimation of the upper bound of extrema, the long-term analysis of extreme precipitation over Japanese river basins, and various rules of thumb in hydrology.
Production and Distribution Theories became a landmark in the study of economics when it was published in 1941. Nobel Laureate Stigler's book was the first to trace the development of theories alongside the history of economic thought. Stigler's pioneering effort remains a classic work on the evolution of distribution theory during a critical juncture in the development of modern industrial capitalism. Stigler examines the writings of major economists during the century, including William Stanley Jevons, Phillip Wicksteed, Alfred Marshall, F.Y. Edgeworth, and Leon Walras. He uses their works in order to show a variety of perspectives on distribution theory. Among the methods of thought he explores are neoclassical price theory and marginal productivity theory. In the new introduction, Douglas Irwin illustrates how this book came into being and notes its continuing significance to the study of economics. Joseph Schumpeter commented in his History of Economic Analysis that "this excellent work by a competent theorist is perhaps the best survey in existence of the theoretical work of that period's leaders and is strongly recommended." This judgment still stands. The book will be of great interest to those interested not only in neoclassical economics, but also in the sources of Stigler's economic thought.
Production and Distribution Theories became a landmark in the study of economics when it was published in 1941. Nobel Laureate Stigler's book was the first to trace the development of theories alongside the history of economic thought. Stigler's pioneering effort remains a classic work on the evolution of distribution theory during a critical juncture in the development of modern industrial capitalism.Stigler examines the writings of major economists during the century, including William Stanley Jevons, Phillip Wicksteed, Alfred Marshall, F.Y. Edgeworth, and Leon Walras. He uses their works in order to show a variety of perspectives on distribution theory. Among the methods of thought he explores are neoclassical price theory and marginal productivity theory.In the new introduction, Douglas Irwin illustrates how this book came into being and notes its continuing significance to the study of economics. Joseph Schumpeter commented in his History of Economic Analysis that this excellent work by a competent theorist is perhaps the best survey in existence of the theoretical work of that period's leaders and is strongly recommended. This judgment still stands. The book will be of great interest to those interested not only in neoclassical economics, but also in the sources of Stigler's economic thought.
The purpose of this research monograph is to build up a modern value distribution theory for complex analytic mappings between abstract Riemann surfaces. All results presented herein are new in that, apart from the classical background material in the last chapter, there is no over lapping with any existing monograph on merom orphic functions. Broadly speaking the division of the book is as follows: The Introduction and Chapters I to III deal mainly with the theory of mappings of arbitrary Riemann surfaces as developed by the first named author; Chapter IV, due to Nakai, is devoted to meromorphic functions on parabolic surfaces; Chapter V contains Matsumoto's results on Picard sets; Chapter VI, pre dominantly due to the second named author, presents the so-called nonintegrated forms of the main theorems and includes some joint work by both authors. For a complete list of writers whose results have been discussed we refer to the Author Index.
In this comprehensive monograph, the authors apply modern mathematical methods to the study of mechanical and physical phenomena or techniques in acoustics, optics, and electrostatics, where classical mathematical tools fail. They present a general method of approaching problems, pointing out different aspects and difficulties that may occur. With respect to the theory of distributions, only the results and the principle theorems are given as well as some mathematical results. The book also systematically deals with a large number of applications to problems of general Newtonian mechanics, as well as to problems pertaining to the mechanics of deformable solids and physics. Special attention is placed upon the introduction of corresponding mathematical models. Addressed to a wide circle of readers who use mathematical methods in their work: applied mathematicians, engineers in various branches, as well as physicists, while also benefiting students in various fields.
This thought-provoking volume seeks to answer some of the ultimate economic questions in terms of a theory that emerged with Adam Smith and is now come to full fruition; the principle of circular and cumulative causation (CCC) This full-fledged theoretical framework explains the whole interplay of technology, firms, resources, culture, institutions and economic policy to understand the basic drives behind modern day economic dynamics.