章节目录
List of Chapters In this List of Chapters, the sources given after the titles include (in parentheses) the letter M followed by the year of publication and by the lower case letter that the Bibliography uses to distinguish different texts published in the same year. In the Bibliography, the items reproduced in this book and in Volumes N and H are marked by a star followed by a chapter number, which in some cases is incomplete or only tentative. Foreword by Ralph E. Gomory ix I • NONMATHEMATICAL PRESENTATIONS Preface (1996) 1 El Introduction (1996) 13 E2 Discontinuity and scaling: scope and likely limitations (1996) 50 E3 New methods in statistical economics (M 1963e) 79 E4 Sources of inspiration and historical background (1996) 105 II • MATHEMATICAL PRESENTATIONS E5 States of randomness from mild to wild, and concentration in the short, medium and long run (1996) 117 E6 Self-similarity and panorama of self-affinity (1996) 146 E7 Rank-size plots, Zipf's law, and scaling (1996) 198 E8 Proportional growth with or without diffusion, and other explanations of scaling (1996). • Appendices (M 1964o, M 1974d) 219 E9 A case against the lognormal distribution (1996) 252 III • PERSONAL INCOMES AND FIRM SIZES E10 L-stable model for the distribution of income (M 1960i). • Appendices (M 1963i, M 1963j) 271 Ell L-stability and multiplicative variation of income (M 1961e) 307 E12 Scaling distributions and income maximization (M 1962q) 336 E13 Industrial concentration and scaling (1996) 364 IV • THE M 1963 MODEL OF PRICE VARIATION E14 The variation of certain speculative prices (M 1963b). • Appendices (Fama & Blume 1966, M 1972b, M 1982c) 371 E15 The variation of the price of cotton, wheat, and railroad stocks, and of some financial rates (M 1967j) 419 E16 Mandelbrot on price variation (Fama 1963) (A guest contribution by E. F. Fama) 444 El7 Comments by P. H. Cootner, E. Parzen & W. S. Morris (1960s), and responses (1996) 458 E18 Computation of the L-stable distributions (1996) 466 V • BEYOND THE M 1963 MODEL El9 Nonlinear forecasts, rational bubbles, and martingales (M 1966b) 471 E20 Limitations of efficiency and martingales (M 1971e) 492 E21 Self-affine variation in fractal time (Section 1 is by W. H. Taylor) (M & Taylor 1967, M 1973c) 513 CUMULATIVE BIBLIOGRAPHY 526 INDEX 542
内容简介
Mandelbrot is world famous for his creation of the new mathematics of fractal geometry. Yet few people know that his original field of applied research was in econometrics and financial models, applying ideas of scaling and self-similarity to arrays of data generated by financial analyses. This book brings together his original papers as well as many original chapters specifically written for this book.
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