Skew-normal shocks in the linear state space form DSGE model
Observed macroeconomic data – notably GDP growth rate, inflation and interest rates – can be, and usually are skewed. Economists attempt to fit models to data by matching first and second moments or co-moments, but skewness is usually neglected. It is so probably because skewness cannot appear in linear (or linearized) models with Gaussian shocks, and shocks are usually assumed to be Gaussian. Skewness requires non-linearities or non-Gaussian shocks. In this paper we introduce skewness into the DSGE framework assuming skewed normal distribution for shocks while keeping the model linear (or linearized). We argue that such a skewness can be perceived as structural, since it concerns the nature of structural shocks. Importantly, the skewed normal distribution nests the normal one, so that skewness is not assumed, but only allowed for. We derive elementary facts about skewness propagation in the state space model and, using the well-known Lubik-Schorfheide model, we run simulations to investigate how skewness propagates from shocks to observables in a standard DSGE model. We also assess properties of an ad hoc two-steps estimator of models’ parameters, shocks’ skewness parameters among them.
|Date of creation:||2011|
|Contact details of provider:|| Postal: 00-919 Warszawa ul. Świętokrzyska 11/21|
Phone: (0-22) 653 10 00
Fax: (0-22) 620 85 18
Web page: http://www.nbp.pl/Homen.aspx?f=/en/publikacje/materialy_i_studia/informacja_en.html
More information through EDIRC
References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Gourieroux, Christian & Monfort, Alain & Trognon, Alain, 1984.
"Pseudo Maximum Likelihood Methods: Theory,"
Econometric Society, vol. 52(3), pages 681-700, May.
- Gourieroux Christian & Monfort Alain & Trognon A, 1981. "Pseudo maximum likelihood methods : theory," CEPREMAP Working Papers (Couverture Orange) 8129, CEPREMAP.
- Kim, Jinill & Ruge-Murcia, Francisco J., 2009. "How much inflation is necessary to grease the wheels?," Journal of Monetary Economics, Elsevier, vol. 56(3), pages 365-377, April.
- Kim, Jinill & Ruge-Murcia, Francisco J., 2007. "How Much Inflation is Necessary to Grease the Wheels?," Cahiers de recherche 2007-10, Universite de Montreal, Departement de sciences economiques.
- KIM, Jinill & RUGE-MURCIA, Francisco J., 2007. "How Much Inflation is Necessary to Grease the Wheels?," Cahiers de recherche 11-2007, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
- Lubik, Thomas A. & Schorfheide, Frank, 2007. "Do central banks respond to exchange rate movements? A structural investigation," Journal of Monetary Economics, Elsevier, vol. 54(4), pages 1069-1087, May.
- Thomas Lubik & Frank Schorfheide, 2003. "Do Central Banks Respond to Exchange Rate Movements? A Structural Investigation," Economics Working Paper Archive 505, The Johns Hopkins University,Department of Economics.
- Tom Doan, "undated". "RATS program to solve Lubik-Schorfheide JME 2007 DSGE model," Statistical Software Components RTZ00111, Boston College Department of Economics.
- Gupta, Arjun K. & González-Farías, Graciela & Domínguez-Molina, J. Armando, 2004. "A multivariate skew normal distribution," Journal of Multivariate Analysis, Elsevier, vol. 89(1), pages 181-190, April. Full references (including those not matched with items on IDEAS)
When requesting a correction, please mention this item's handle: RePEc:nbp:nbpmis:101. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Zbigniew Polański)
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.