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
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DOI - Digital Object Identifier
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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
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
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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
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e-ISSN
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Number of pages
6
Pages from-to
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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
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