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Skew distributions and the sizes of business firms

Author: Ijiri, Yuji ; Simon, Herbert Alexander Series: Studies in mathematical and managerial economics ; v. 24 Publisher: North-Holland, 1977.Language: EnglishDescription: xi, 231 p. ; 23 cm.ISBN: 0720405181Type of document: BookNote: Includes indexes/Bibliography: p. [219]-223
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Item type Current location Collection Call number Status Date due
Book Doriot Library
Main Collection
Print QA324 .I57 1976
(Browse shelf)
000026611
Available

Includes indexes/Bibliography: p. [219]-223

Digitized

Skew Distributions and
the Sizes of Business Firms
Contents
Introduction to the series v
Prefacevii
Introduction1
Part I. Skew distribution functions21
Chapter 1. On a class of skew distribution functions23
1. Introduction, 25. 2. The stochastic model, 28. 3. An alternative formation of the process, 36. 4. The empirical distributions, 39. 5. Conclusions, 50.
Chapter 2. Some further notes on a class of skew distribution functions53
1. Introduction, 55. 2. The empirical distributions, 56. 3. The stochastic models, 59. 4. The meaning of the word frequency distributions, 61.
Chapter 3. Properties of the Yule distribution65
1. The Yule distribution, 65. 2. The distribution function, 66.
3. The mean and variance, 69. 4. Maximum likelihood estimate of p, 70. 5. The slope parameter, 72. 6. The Pareto distribution, 75. 7. The incomplete beta function, 76. 8. Random increments, 78.
Chapter 4. Some distributions associated with
Bose-Einstein statistics83
1. Introduction, 84. 2. Bose-Einstein statistics and Gibrat's law, 85. 3. Two limiting distributions for Bose-Einstein statistics, 88. 4. Interpretation of the stochastic processes, 93.
Chapter 5. Some Monte Carlo estimates of the
Yule distribution95
1. Introduction, 96. 2. Simulations with variable alpha, 99. 3. Simulations with alpha estimated from empirical distributions, 103. 4. Conclusions, 107.
Chapter 6. On judging the plausibility of theories109
1. Generalizations from data, 112. 2. Approximation, 113.
3. The law-finding process, 116. 4. Explaining regularity, 118.
5. Simplicity, 120. 6. An example from psychology, 124.
7. Improving the generalization, 125. 8. Stochastic models and process models, 128. 9. Interpreting models, 130.
10. Retroduction of hypotheses, 131. 11. Conclusions, 134.
Part II. Firm-size distributions135
Chapter 7. The size distribution of business firms137
1. Introduction, 138. 2. Economic theory of the size of firms, 139. 3. Stochastic models of firm size, 140. 4. The empirical data, 144. 5. Implications for economic policy, 149.
6. Directions for research, 151.
Chapter 8. Business firm growth and size153
Introduction, 154. 2. Simple stochastic models, 157. 3. A model with serial correlation, 159. 4. Details of the simulation procedure, 160. 5. A distribution generated by the model, 163. 6. The history of a simulated industry or economy, 165. 7. Effects of parameters on the distribution, 168.
8. Conclusions, 169.
Chapter 9. A model of business firm growth171
I. Introduction, 172. 2. The growth model, 173. 3. The multiplier, 178. 4. A two-level generalization, 179. 5. Growth of large American firms, 180. 6. Conclusions, 181.
Chapter 10. Effects of mergers and acquisitions on concentration183
Introduction, 184. 2. A model, 187. 3. Empirical data, 190. 4. Gibrat's law for mergers and acquisitions. 192.
Chapter 11. Departures from the Pareto distribution195
1. Concavity of the firm-size distributions, 195.
2. Autocorrelated growth, 199. 3. Mergers and acquisitions, 205. 4. Summary and conclusions, 211. 5. Appendix, 212.
References219
Author index225
Subject index227

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