rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Theory of Zipf's Law and Beyond
  name:
    name part: Saichev, Alex.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Malevergne, Yannick.
    role:
      role term: author.
  name:
    name part: Sornette, Didier.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2010
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XII, 171 p. 44 illus. online resource.
  abstract: 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.
  table of contents: Continuous Gibrat#x2019;s Law and Gabaix#x2019;s Derivation of Zipf#x2019;s Law -- Flow of Firm Creation -- Useful Properties of Realizations of the Geometric Brownian Motion -- Exit or #x201C;Death#x201D; of Firms -- Deviations from Gibrat#x2019;s Law and Implications for Generalized Zipf#x2019;s Laws -- Firm#x2019;s Sudden Deaths -- Non-stationary Mean Birth Rate -- Properties of the Realization Dependent Distribution of Firm Sizes -- Future Directions and Conclusions.
  note: by Alex Saichev, Yannick Malevergne, Didier Sornette.
  subject:
    topic: Probabilities
  subject:
    topic: Economic theory
  subject:
    topic: Macroeconomics
  subject:
    topic: Economics
  subject:
    topic: Macroeconomics/Monetary Economics//Financial Economics
  subject:
    topic: Probability Theory and Stochastic Processes
  subject:
    topic: Economic Theory/Quantitative Economics/Mathematical Methods
  classification: HB172.5
  classification: 339
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Lecture Notes in Economics and Mathematical Systems, 632
  identifier: 9783642029462
  identifier: http://dx.doi.org/10.1007/978-3-642-02946-2
  record info:
    record creation date: 100301
    record change date: 20151204153012.0
    record identifier: 978-3-642-02946-2