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Theory of Zipf's Law and Beyond by Yannick Malevergne (English) Paperback Book
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Item specifics
- Condition
- ISBN-13
- 9783642029455
- Book Title
- Theory of Zipf's Law and Beyond
- ISBN
- 9783642029455
About this product
Product Identifiers
Publisher
Springer Berlin / Heidelberg
ISBN-10
3642029450
ISBN-13
9783642029455
eBay Product ID (ePID)
77390401
Product Key Features
Number of Pages
Xii, 171 Pages
Language
English
Publication Name
Theory of Zipf's Law and Beyond
Subject
Vocabulary, Urban & Regional, Probability & Statistics / General, Economics / Macroeconomics, Public Policy / City Planning & Urban Development, Economic Conditions, Money & Monetary Policy
Publication Year
2009
Type
Textbook
Subject Area
Mathematics, Political Science, Language Arts & Disciplines, Business & Economics
Series
Lecture Notes in Economics and Mathematical Systems Ser.
Format
Trade Paperback
Dimensions
Item Weight
20.8 Oz
Item Length
9.3 in
Item Width
6.1 in
Additional Product Features
Intended Audience
Scholarly & Professional
Dewey Edition
22
Series Volume Number
632
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
330.91732
Table Of Content
Continuous Gibrat s Law and Gabaix s Derivation of Zipf s Law.- Flow of Firm Creation.- Useful Properties of Realizations of the Geometric Brownian Motion.- Exit or Death of Firms.- Deviations from Gibrat s Law and Implications for Generalized Zipf s Laws.- Firm s Sudden Deaths.- Non-stationary Mean Birth Rate.- Properties of the Realization Dependent Distribution of Firm Sizes.- Future Directions and Conclusions.
Synopsis
This book presents a general theoretical derivation of Zipf's law, providing a synthesis and extension of previous approaches. It also offers a classification of the mechanisms responsible for deviations from Zipf's law., Zipf's law is one of the few quantitative reproducible regularities found in e- nomics. It states that, for most countries, the size distributions of cities and of rms (with additional examples found in many other scienti c elds) are power laws with a speci c exponent: the number of cities and rms with a size greater thanS is inversely proportional toS. Most explanations start with Gibrat's law of proportional growth but need to incorporate additional constraints and ingredients introducing deviations from it. Here, we present a general theoretical derivation of Zipf's law, providing a synthesis and extension of previous approaches. First, we show that combining Gibrat's law at all rm levels with random processes of rm's births and deaths yield Zipf's law under a "balance" condition between a rm's growth and death rate. We nd that Gibrat's law of proportionate growth does not need to be strictly satis ed. As long as the volatility of rms' sizes increase asy- totically proportionally to the size of the rm and that the instantaneous growth rate increases not faster than the volatility, the distribution of rm sizes follows Zipf's law. This suggests that the occurrence of very large rms in the distri- tion of rm sizes described by Zipf's law is more a consequence of random growth than systematic returns: in particular, for large rms, volatility must dominate over the instantaneous growth rate., Continuous Gibrat’s Law and Gabaix’s Derivation of Zipf’s Law.- Flow of Firm Creation.- Useful Properties of Realizations of the Geometric Brownian Motion.- Exit or “Death� of Firms.- Deviations from Gibrat’s Law and Implications for Generalized Zipf’s Laws.- Firm’s Sudden Deaths.- Non-stationary Mean Birth Rate.- Properties of the Realization Dependent Distribution of Firm Sizes.- Future Directions and Conclusions.
LC Classification Number
HB172.5
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- y***0 (345)- Feedback left by buyer.Past monthVerified purchaseA+++++++seller they gave me a great price and shipped it out immediately and communicated friendly. Shipping was fast and when it arrived it was packaged thoughtfully. The book is brand new and exactly as described. I have come to exect high quality books from them as they are always brand new. I definitely recommend this seller to anyone who wants beautiful books at a great price. Thank you for a great transaction.
- l***r (970)- Feedback left by buyer.Past 6 monthsVerified purchaseA Plus Seller: Transaction Good. Tested Good. Packaged Good. Better than described. Shipping reasonable time. Value contents of book: A Plus. True Life story. From one Autistic person to an other. Right on the money. Jesus Does Talk to People today. Are you listening with a Facilitator and the Spirit guiding, leading, asking Questions? I would not have believed it, until I read it. I have seen it in action. Life Change! Extremely Valuable.
- t***u (125)- Feedback left by buyer.Past 6 monthsVerified purchaseThe book was in excellent condition, quality and appearance excellent as described, and packaged safely in a box very well. Seller shipped immediately and communication and payment transfer was excellent. Great eBayer!!! Price of book was very competitive. A+++++Seed to Harvest by Octavia E. Butler (English) Paperback Book (#396114881909)