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Estimating Stochastic Cusp Model Using Transition Density

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F11%3A10099508" target="_blank" >RIV/00216208:11320/11:10099508 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Estimating Stochastic Cusp Model Using Transition Density

  • Original language description

    Paper focuses on an econometric model known as the cusp within standard catastrophe theory. This model allows discontinuous change in a dependent variable for a small continuous change in parameters. This model is given by stochastic di erential equationwith cubic drift. The closed-form solution of density for this process is known only in the stationary case and this density belongs to the class of generalized exponential distributions, which allows for skewness, di erent tail shapes and multiple equilibria. The transition density is approximated by the finite difference method and parameters are estimated using the maximum likelihood principle. An empirical example deals with the crash known as Black Monday, where parameters of the drift are drivenby market fundamentals.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2011

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Bulletin of the Czech Econometric Society

  • ISSN

    1212-074X

  • e-ISSN

  • Volume of the periodical

    18

  • Issue of the periodical within the volume

    28

  • Country of publishing house

    CZ - CZECH REPUBLIC

  • Number of pages

    12

  • Pages from-to

    84-95

  • UT code for WoS article

  • EID of the result in the Scopus database