A Class of Discrete Transformation Survival Models With Application to Default Probability Prediction

References

• Altman , E. I. 1968 . “Financial Ratios, Discriminant Analysis and Prediction of Corporate Bankruptcy,” . Journal of Finance , 23 : 589 – 610 .
   Web of Science ®Google Scholar
• Altman , E. I. 1993 . Corporate Financial Distress and Bankruptcy: A Complete Guide to Predicting and Avoiding Distress and Profiting from Bankruptcy , New York : Wiley .
   Google Scholar
• Bennett , S. 1983 . “Analysis of Survival Data by the Proportional Odds Model,” . Statistics in Medicine , Issue 2 : 273 – 277 .
   Google Scholar
• Bernanke , B. , Lown , C. and Friedman , B. 1991 . “The Credit Crunch,” . Brookings Papers on Economic Activity , : 205 – 247 .
   Web of Science ®Google Scholar
• Bharath , S. and Shumway , T. 2008 . “Forecasting Default With the Merton Distance to Default Model,” . Review of Financial Studies , 21 ( 3 ) : 1339 – 1369 .
   Web of Science ®Google Scholar
• Breslow , N. E. 1974 . “Covariance Analysis of Censored Survival Data,” . Biometrics , 30 : 89 – 99 .
   PubMed Web of Science ®Google Scholar
• Campbell , J. Y. , Hilscher , J. and Szilagyi , J. 2008 . “In Search of Distress Risk,” . Journal of Finance , 63 ( 6 ) : 2899 – 2939 .
   Web of Science ®Google Scholar
• Chava , S. and Jarrow , R. A. 2004 . “Bankruptcy Prediction With Industry Effects,” . Review of Finance , 8 : 537 – 569 .
   Google Scholar
• Chen , K. , Jin , Z. and Ying , Z. 2002 . “Semiparametric Analysis of Transformation Models With Censored Data,” . Biometrika , 89 : 659 – 668 .
   Web of Science ®Google Scholar
• Cheng , S. C. , Wei , L. J. and Ying , Z. 1995 . “Analysis of Transformation Models With Censored Data,” . Biometrika , 82 : 835 – 845 .
   Web of Science ®Google Scholar
• Cheng , S. C. , Wei , L. J. and Ying , Z. 1997 . “Prediction of Survival Probabilities With Semi-Parametric Transformation Models,” . Journal of the American Statistical Association , 92 : 227 – 235 .
   Web of Science ®Google Scholar
• Clayton , D. and Cuzick , J. 1986 . “The Semi-Parametric Pareto Model for Regression Analysis of Survival Times,” . Proceedings of International Statistical Institute, Amsterdam , pp. 23.3-1–23.3-18
   Google Scholar
• Cook , N. R. 2008 . “Statistical Evaluation of Prognostic Versus Diagnostic Models: Beyond the ROC Curve,” . Clinical Chemistry , 54 : 17 – 23 .
   PubMed Web of Science ®Google Scholar
• Cox , D. R. 1972 . “Regression Models and Life-Tables,” . Journal of the Royal Statistical Society, , 34 : 187 – 220 . Series B
   Google Scholar
• Cox , D. R. 1975 . “Partial Likelihood,” . Biometrika , 62 : 269 – 276 .
   Web of Science ®Google Scholar
• Dabrowska , D. M. and Doskum , K. A. 1988a . “Estimation and Testing in a Two-Sample Generalized Odds-Rate Model,” . Journal of the American Statistical Association , 83 : 744 – 749 .
   Web of Science ®Google Scholar
• Dabrowska , D. M. and Doskum , K. A. 1988b . “Partial Likelihood in Transformation Models With Censored Data,” . Scandinavian Journal of Statistics , 15 : 1 – 23 .
   Web of Science ®Google Scholar
• Daniel , K. and Titman , S. 2006 . “Market Reactions to Tangible and Intangible Information,” . The Journal of Finance , 61 ( 4 ) : 1605 – 1643 .
   Web of Science ®Google Scholar
• Doksum , K. A. and Gasko , M. 1990 . “On a Correspondence Between Models in Binary Regression Analysis and in Survival Analysis,” . International Statistical Review , 58 ( 3 ) : 243 – 252 .
   Web of Science ®Google Scholar
• Duffie , D. , Eckner , A. , Horel , G. and Saita , L. 2009 . “Frailty Correlated Default,” . Journal of Finance , 64 ( 5 ) : 2089 – 2123 .
   Web of Science ®Google Scholar
• Duffie , D. , Saita , L. and Wang , K. 2007 . “Multi-Period Corporate Default Prediction With Stochastic Covariates,” . Journal of Financial Economics , 83 : 635 – 665 .
   Web of Science ®Google Scholar
• Efron , B. 1977 . “The Efficiency of Cox's Likelihood Function for Censored Data,” . Journal of the American Statistical Association , 72 : 557 – 565 .
   Web of Science ®Google Scholar
• Fama , E. F. and French , K. R. 1996 . “Multifactor Explanations of Asset Pricing Anomalies,” . Journal of Finance , 51 : 55 – 84 .
   Web of Science ®Google Scholar
• Gerds , T. A. and Schumacher , M. 2006 . “Consistent Estimation of the Expected Brier Score in General Survival Models With Right-Censored Event Times,” . Biometrical Journal , 48 : 1029 – 1040 .
   PubMed Web of Science ®Google Scholar
• Harrington , D. P. and Fleming , T. R. 1982 . “A Class of Rank Test Procedures for Censored Survival Data,” . Biometrika , 69 : 553 – 566 .
   Web of Science ®Google Scholar
• Hosmer , D. W. and Lemeshow , S. 1980 . “A Goodness-of-Fit Test for the Multiple Logistic Regression Model,” . Communication in Statistics A , 10 : 1043 – 1069 .
   Web of Science ®Google Scholar
• Hosmer , D. W. and Lemeshow , S. 2000 . Applied Logistic Regression , (2nd ed.) , Wiley-Interscience .
   Google Scholar
• Kalbfleisch , J. D. and Prentice , R. L. 1973 . “Marginal Likelihoods Based on Cox's Regression and Life Model,” . Biometrika , 64 : 47 – 50 .
   Google Scholar
• Kalbfleisch , J. D. and Prentice , R. L. 2002 . The Statistical Analysis of Failure Time Data , (2nd ed.) , Hoboken , NJ : Wiley .
   Google Scholar
• Lando , D. 2004 . Credit Risk Modeling: Theory and Applications , Princeton, , NJ : Princeton University Press .
   Google Scholar
• Lehmann , E. L. and Casella , G. 1998 . Theory of Point Estimation , Berlin, , , Germany : Springer .
   Google Scholar
• Murphy , S. A. , Rossini , A. J. and van der Vart , A. W. 1997 . “Maximal Likelihood Estimation in the Proportional Odds Model,” . Journal of the American Statistical Association , 92 : 968 – 976 .
   Web of Science ®Google Scholar
• Murphy , S. A. and van der Vart , A. W. 2000 . “On Profile Likelihood,” . Journal of the American Statistical Association , 95 : 449 – 465 .
   Web of Science ®Google Scholar
• Ohlson , J. S. 1980 . “Financial Ratios and the Probabilistic Prediction of Bankruptcy,” . Journal of Accounting Research , 19 : 109 – 131 .
   Web of Science ®Google Scholar
• Scharfstein , D. O. , Tsiatis , A. A. and Gilbert , P. B. 1998 . “Semiparametric Efficient Estimation in the Generalized Odds-Rate Class of Regression Models for Right-Censored Time-to-Event Data,” . Lifetime Data Analysis , 4 : 355 – 391 .
   PubMed Web of Science ®Google Scholar
• Schönbucher , P. J. 2003 . Credit Derivatives Pricing Models: Models, Pricing and Implementation , Hoboken, NJ : Wiley .
   Google Scholar
• Schuermann , T. 2005 . “What Do We Know About Loss Given Default?” . In Recovery Risk: The Next Challenge in Credit Risk Management , Edited by: Altman , E. , Resti , A. and Sironi , A. London : Risk Books .
   Google Scholar
• Shumway , T. 2001 . “Forecasting Bankruptcy More Accurately: A Simple Hazard Model,” . Journal of Business , 74 : 101 – 124 .
   Web of Science ®Google Scholar
• Sobehart , J. , Keenan , S. and Stein , R. 2001 . “Benchmarking Quantitative Default Risk Models: A Validation Methodology,” . Algo Research Quarterly , 4 : 57 – 72 .
   Google Scholar
• Uno , H. , Cai , T. , Pencina , M. J. , D’Agostino , R. and Wei , L. J. 2011 . “On the C-Statistics for Evaluating Overall Adequacy of Risk Prediction Procedures With Censored Survival Data,” . Statistics in Medicine , 30 : 1105 – 1117 .
   PubMed Web of Science ®Google Scholar
• Wilks , D. S. 2006 . Statistical Methods in the Atmospheric Sciences , (2nd ed.) , New York : Academic Press .
   Google Scholar
• Wu , C. O. 1995 . “Estimating the Real Parameter in a Two-Sample Proportional Odds Model,” . The Annals of Statistics , 23 : 376 – 395 .
   Web of Science ®Google Scholar
• Zeng , D. and Lin , D. Y. 2006 . “Efficient Estimation of Semiparametric Transformation Models for Counting Processes,” . Biometrika , 93 : 627 – 640 .
   Web of Science ®Google Scholar
• Zeng , D. and Lin , D. Y. 2007 . “Maximum Likelihood Estimation in Semiparametric Regression Models With Censored Data,” . Journal of the Royal Statistical Society, Series B , 69 : 507 – 564 .
   Google Scholar
• Zmijewski , M. 1984 . “Methodological Issues Related to the Estimation of Financial Distress Prediction Models,” . Journal of Accounting Research , 22 : 59 – 82 .
   Web of Science ®Google Scholar