Dynamic discrete-time duration models: Estimation via Markov Chain Monte Carlo

Sociological Methodology

Volumn 27, Issue 1, 1997, Pages 417-452

  Fahrmeir, Ludwig ^a   Knorr Held, Leonhard ^a  

^a UNIVERSITY OF MUNICH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031532823     PISSN: 00811750     EISSN: None     Source Type: Journal    
DOI: 10.1111/1467-9531.271033     Document Type: Article

References (56)

1. Aalen, Odd O. 1989. "A Linear Regression Model for the Analysis of Life-Times." Statistics in Medicine 8:907-25.
2. _. 1993. "Further Results on the Nonparametric Linear Regression Model in Survival Analysis," Statistics in Medicine 12:1569-88.
3. Allison, Paul D. 1982. "Discrete-Time Methods for the Analysis of Event Histories." In Sociological Methodology 1982, edited by S. Leinhardt, 61-89. San Francisco: Jossey-Bass.
4. Andersen, Per Kragh, Ornulf Borgan, Richard D. Gill, and Niels Keiding. 1993. Statistical Models Based on Counting Processes. New York: Springer-Verlag.
5. Arjas, Elja, and P. Haara. 1987. "A Logistic Regression Model for Hazard: Asymptotic Results." Scandinavian Journal of Statistics 14:1-18.
6. Arjas, Elja, and Liping Liu. 1995. "Assessing the Losses Caused by an Intervention: A Hierarchical Bayesian Approach." Applied Statistics 44:357-68.
7. Berzuini, Carlo, and David Clayton. 1994. "Bayesian Analysis of Survival on Multiple Time Scales." Statistics in Medicine 13:823-38.
8. Berzuini, Carlo, and Christiana Larizza. 1996. "A Unified Approach for Modelling Longitudinal and Failure Time Data, with Application in Medical Monitoring." IEEE Transactions on Pattern Analysis and Machine Intelligence 18:109-23.
9. Besag, Julian E. 1974. "Spatial Interaction and the Statistical Analysis of Lattice Systems." Journal of the Royal Statistical Society B 36:192-236.
10. Besag, Julian E., Peter J. Green, David Higdon, and Kerrie Mengersen. 1995. "Bayesian Computation and Stochastic Systems (with discussion)." Statistical Science 10:3-66.
11. Blossfeld, Hans-Peter, Alfred Hamerle, and Karl Ulrich Mayer. 1989. Event History Analysis. Hillsdale, NJ.: Lawrence Erlbaum.
12. Carter, Christopher K., and Robert Kohn. 1994. "On Gibbs Sampling for State Space Models." Biometrika 81:541-53.
13. Casella, George, and Edward I. George. 1992. "Explaining the Gibbs Sampler." The American Statistician 46:167-74.
14. Chib, Siddharta, and Edward Greenberg. 1995. "Understanding the Metropolis-Hastings Algorithm." The American Statistician 49:327-35.
15. Clayton, David G. 1991. "A Monte Carlo Method for Bayesian Inference in Frailty Models." Biometrics 47:467-85.
16. Cowles, Mary Kathryn, and Bradley P. Carlin. 1996. "Markov Chain Monte Carlo Convergence Diagnostics: A Comparative Review." Journal of the American Statistical Association 91:883-904.
17. Cox, David R. 1972. "Regression Models and Life Tables (with discussion)." Journal of the Royal Statistical Society B 34:187-220.
18. Fahrmeir, Ludwig. 1994. "Dynamic Modelling and Penalized Likelihood Estimation for Discrete Time Survival Data." Biometrika 81:317-30.
19. Fahrmeir, Ludwig, and Gerhard Tutz. 1994. Multivariate Statistical Modelling Based on Generalized Linear Models. New York: Springer-Verlag.
20. Fahrmeir, Ludwig, and Stefan Wagenpfeil. 1996. "Smoothing Hazard Functions and Time-Varying Effects in Discrete Duration and Competing Risks Models." Journal of the American Statistical Association, 91:1584-94.
21. Frühwirth-Schnatter, Sylvia. 1994. "Data Augmentation and Dynamic Linear Models." Journal of Time Series Analysis 15:183-202.
22. Gamerman, Dani. 1991. "Dynamic Bayesian Models for Survival Data." Applied Statistics 40:63-79.
23. _. 1995. "Monte Carlo Markov Chains for Dynamic Generalized Linear Models." Unpublished manuscript. Institute de Matematica, Universidade Federal do Rio de Janerio.
24. Gamerman, Dani, and Mike West. 1987. "An Application of Dynamic Survival Models in Unemployment Studies." The Statistician 36:269-74.
25. Gelfand, Alan E. 1996. "Model Determination Using Sampling-Based Methods." In Markov Chain Monte Carlo in Practice, edited by W. R. Gilks, S. Richardson and D. J. Spiegelhalter, 145-161. London: Chapman and Hall.
26. Gelman, Andrew. 1996. "Inference and Monitoring Convergence." In Markov Chain Monte Carlo in Practice, edited by W. R. Gilks, S. Richardson, and D. J. Spiegelhalter, 131-143. London: Chapman and Hall.
27. Gilks, Walter R., Sylvia Richardson, and David J. Spiegelhalter. 1996. "Introducing Markov Chain Monte Carlo." In Markov Chain Monte Carlo in Practice, edited by W. R. Gilks, S. Richardson and D. J. Spiegelhalter, 1-19. London: Chapman & Hall.
28. Gilks, Walter R., and P. Wild. 1992. "Adaptive Rejection Sampling for Gibbs Sampling." Applied Statistics 41:337-48.
29. Hamerle, Alfred, and Gerhard Tutz. 1989. Diskrete Modelle zur Analyse von Verweildauern und Lebenszeiten. New York: Campus.
30. Hastie, Trevor, and Robert Tibshirani. 1993. "Varying-Coefficient Models." Journal of the Royal Statistical Society B 55:757-96.
31. Hastings, W. K. 1970. "Monte Carlo Sampling Methods Using Markov Chains and Their Applications." Biometrika 57:97-109.
32. Heckman, James J., and Burton L. Singer. 1984. "Econometric Duration Analysis." Journal of Econometrics 24:63-132.
33. Hill, Daniel H., William G. Axinn, and Arland Thornton. 1993. "Competing Hazards with Shared Unmeasured Risk Factors." In Sociological Methodology 1993, edited by P. V. Marsden, 245-77. Cambridge, MA: Blackwell Publishers.
34. Huffer, Fred, and Ian W. McKeague. 1991. "Weighted Least Squares Estimation for Aalen's Additive Risk Model." Journal of the American Statistical Association 86:114-29.
35. Kalbfleisch, John D., and Ross L. Prentice. 1980. The Statistical Analysis of Failure Time Data. New York: Wiley.
36. Knorr-Held, Leonhard. 1995. "Markov Chain Monte Carlo Simulation in Dynamic Generalized Linear Mixed Models." Discussion paper No. 8, Sonderforschungsbereich 386, Universität München. Also available under http://www.stat.uni-muenchen.de/sfb386/publikation.html.
37. _. 1996. "Conditional Prior Proposals in Dynamic Models." Scandinavian Journal of Statistics, submitted. Also available under http://www.stat.uni-muenchen.de/ sfb386/publikation.html.
38. Lancaster, Tony 1990. The Econometric Analysis of Transition Data. Cambridge, England: Cambridge University Press.
39. Lewis, Steven M., and Adrian E. Raftery. 1994. "Estimating Bayes Factors via Posterior Simulation with the Laplace-Metropolis Estimator." Technical Report. University of Washington.
40. Meyer, Bruce. 1990. "Unemployment Insurance and Unemployment Spells." Econometrica 58:757-82.
41. Narendranathan, Wiji, and Mark B. Stewart. 1993. "Modelling the Probability of Leaving Unemployment: Competing Risks Models with Flexible Base-Line Hazards." Applied Statistics 42:63-83.
42. Petersen, Trond. 1991. "The Statistical Analysis of Event Histories." Sociological Methods and Research 19:270-323.
43. Portugal, Pedro, and John T. Addison. 1995. "Short- and Long-Term Unemployment: A Parametric Model with Time-Varying Effects." Oxford Bulletin of Economics and Statistics 57:205-27.
44. Prentice, R. L., John D. Kalbfleisch, Arthur V. Peterson, Jr., Nancy Flournoy, V. T. Farewell, and N. E. Breslow. 1978. "The Analysis of Failure Times in the Presence of Competing Risks." Biometrics 34:541-54.
45. Raftery, Adrian E. 1996. "Hypothesis Testing and Model Selection." In Markov Chain Monte Carlo in Practice, edited by W. R. Gilks, S. Richardson and D. J. Spiegelhalter, 163-87. London: Chapman and Hall.
46. Raftery, Adrian E., and Jeffrey D. Banfield. 1991. "Stopping the Gibbs Sampler, the Use of Morphology, and Other Issues in Spatial Statistics." Annals of the Institute of Statistical Mathematics: 43:32-43.
47. Raftery, Adrian E., and Steven M. Lewis. 1996. "Implementing MCMC." In Markov Chain Monte Carlo in Practice, edited by W. R. Gilks, S. Richardson and D. J. Spiegelhalter, 115-30. London: Chapman and Hall.
48. Raftery, Adrian E., Steven M. Lewis, and Akbar Aghajanian. 1995. "Demand or Ideation? Evidence from the Iranian Marital Fertility Decline." Demography 32:159-82.
49. Shephard, Neil, and Michael K. Pitt. 1995. "Parameter-Driven Exponential Family Models." Unpublished manuscript. Nuffield College, Oxford, England.
50. Thompson, W. A., Jr. 1977. "On the Treatment of Grouped Observations in Life Studies." Biometrics 33:463-70.
51. Tierney, Luke. 1994. "Markov Chains for Exploring Posterior Distributions (with discussion)." Annals of Statistics 22:1701-62.
52. Tutz, Gerhard. 1995. "Dynamic Modeling of Discrete Duration Data: A Local Likelihood Approach." Report 95-15. Tech. Univ. Berlin, Institut für Quantitative Methoden.
53. Vaupel, James W., Anatoli Yashin. 1985. "Heterogeneity's Ruses: Some Surprising Effects of Selection on Population Dynamics." The American Statistician 39:176-85.
54. Wu, Lawrence L., and Nancy Brandon Tuma. 1990. "Local Hazard Models." In Sociological Methodology 1990, edited by C. C. Clogg, 141-180. Cambridge, MA: Blackwell Publishers.
55. Yamaguchi, Kazuo. 1993. "Modeling Time-Varying Effects of Covariates in Event-History Analysis Using Statistics from the Saturated Hazard Rate Model." In Sociological Methodology 1993, edited by P. V. Marsden, 279-317. Cambridge, MA: Blackwell Publishers.
56. Zimmermann, Klaus F. 1993. "Labor Responses to Taxes and Benefits in Germany." In Incentives, A North European Perspective, edited by A. B. Atkinson and G. V. Mogenson, 192-240, Oxford, England: Clarendon Press.