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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%2F10%3A10049952" target="_blank" >RIV/00216208:11320/10:10049952 - 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

    Stochastic Cusp model allows discontinuous change in an explained variable for a small continuous change in parameters. 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, different tail shapes and multiple equilibria. The transition density has to be approximated and for that purpose, the finite difference method is employed and then parameters are estimated using the maximum likelihood principle. The finite difference method is often used for approximating partial differential equations, however the cubic drift is not handled sufficiently in current software, therefore own computational method is proposed and used. An empirical example deals with the crash known as Black Monday, where parameters of the drift are driven by market fundamentals.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2010

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    Mathematical Methods in Economics

  • ISBN

    978-80-7394-218-2

  • ISSN

  • e-ISSN

  • Number of pages

    6

  • Pages from-to

  • Publisher name

    Jihočeská Univerzita

  • Place of publication

    České Budějovice

  • Event location

    České Budějovice

  • Event date

    Sep 8, 2010

  • Type of event by nationality

    EUR - Evropská akce

  • UT code for WoS article