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An Introduction to Copulas -- 2nd Edition
An Introduction to Copulas - 2nd Ed.

by Roger B. Nelsen, Springer, January 13, 2006, Hardcover, 270 pages
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The Mathematics of Credit Derivatives: The Essential Credit Modelling and Pricing Companion
by Philipp J. Schönbucher,
WBS Training, August 2003, DVD / Interactive CD-ROM
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In Rememberance: World Trade Center (WTC)

Christensen, Jens, Ernst Hansen, and David Lando, "Confidence Sets for Continuous-time Rating Transition Probabilities", Journal of Banking & Finance, Vol. 28, No. 11, (November 2004), pp. 2575-2602.

Abstract: This paper addresses the estimation of default probabilities and associated confidence sets with special focus on rare events. Research on rating transition data has documented a tendency for recently downgraded issuers to be at an increased risk of experiencing further downgrades compared to issuers that have held the same rating for a longer period of time. To capture this non-Markov effect we introduce a continuous-time hidden Markov chain model in which downgrades firms enter into a hidden, 'excited' state. Using data from Moody's we estimate the parameters of the model, and conclude that both default probabilities and confidence sets are strongly influenced by the introduction of hidden excited states.

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