Theory of Zipf's Law and Beyond (Record no. 111453)

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001 - CONTROL NUMBER
control field 978-3-642-02946-2
003 - CONTROL NUMBER IDENTIFIER
control field DE-He213
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20140220084524.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
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020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783642029462
-- 978-3-642-02946-2
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1007/978-3-642-02946-2
Source of number or code doi
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number HG1-9999
072 #7 - SUBJECT CATEGORY CODE
Subject category code KCBM
Source bicssc
072 #7 - SUBJECT CATEGORY CODE
Subject category code KCLF
Source bicssc
072 #7 - SUBJECT CATEGORY CODE
Subject category code BUS027000
Source bisacsh
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 332
Edition number 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Saichev, Alex.
Relator term author.
245 10 - TITLE STATEMENT
Title Theory of Zipf's Law and Beyond
Medium [electronic resource] /
Statement of responsibility, etc by Alex Saichev, Yannick Malevergne, Didier Sornette.
264 #1 -
-- Berlin, Heidelberg :
-- Springer Berlin Heidelberg,
-- 2010.
300 ## - PHYSICAL DESCRIPTION
Extent XII, 171p. 44 illus.
Other physical details online resource.
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-- computer
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-- online resource
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-- text file
-- PDF
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490 1# - SERIES STATEMENT
Series statement Lecture Notes in Economics and Mathematical Systems,
International Standard Serial Number 0075-8442 ;
Volume number/sequential designation 632
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note 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.
520 ## - SUMMARY, ETC.
Summary, etc Zipf's law is one of the few quantitative reproducible regularities found in economics. It states that, for most countries, the size distributions of city sizes and of firms are power laws with a specific exponent: the number of cities and of firms with sizes greater than S is inversely proportional to S. Zipf's law also holds in many other scientific fields. Most explanations start with Gibrat's law of proportional growth (also known as "preferential attachment'' in the application to network growth) but need to incorporate additional constraints and ingredients introducing deviations from it. This book presents a general theoretical derivation of Zipf's law, providing a synthesis and extension of previous approaches. The general theory is presented in the language of firm dynamics for the sake of convenience but applies to many other systems. It takes into account (i) time-varying firm creation, (ii) firm's exit resulting from both a lack of sufficient capital and sudden external shocks, (iii) the coupling between firm's birth rate and the growth of the value of the population of firms. The robustness of Zipf's law is understood from the approximate validity of a general balance condition. A classification of the mechanisms responsible for deviations from Zipf's law is also offered.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Economics.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Distribution (Probability theory).
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Economics, Mathematical.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Finance.
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Economics/Management Science.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Financial Economics.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Probability Theory and Stochastic Processes.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Game Theory/Mathematical Methods.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Malevergne, Yannick.
Relator term author.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Sornette, Didier.
Relator term author.
710 2# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element SpringerLink (Online service)
773 0# - HOST ITEM ENTRY
Title Springer eBooks
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Printed edition:
International Standard Book Number 9783642029455
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Lecture Notes in Economics and Mathematical Systems,
-- 0075-8442 ;
Volume number/sequential designation 632
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier http://dx.doi.org/10.1007/978-3-642-02946-2
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