Markov Chain Model Selection by Misclassified Model Probabilities

References

• Anderson , T. W. ( 1984 ). An Introduction to Multivariate Statistical Analysis. , 2nd ed. New York : John Wiley and Sons .
   Google Scholar
• Anderson , T. W. , Goodman , L. A. ( 1957 ). Statistical inference about Markov chains . Ann. Mathemat. Statist. 28 : 89 – 110 .
   Google Scholar
• Andersen , P. K. , Keiding , N. ( 2002 ). Multi-state models for event history analysis . Statist. Meth. Med. Res. 11 : 91 – 115 .
   PubMed Web of Science ®Google Scholar
• Billingsley , P. ( 1961 ). Statistical methods in Markov chains . Ann. Mathemat. Statist. 32 : 12 – 40 .
   Google Scholar
• Chang , I. S. , Chuang , Y. C. , Hsiung , C. A. ( 2001 ). Goodness-of-fit tests for semi-Markov and Markov survival models with one intermediate state . Scan. J. Statist. 28 : 505 – 525 .
   Google Scholar
• Cramér , H. ( 1946 ). Mathematical Methods of Statistics . Princeton, New Jersey : Princeton University Press .
   Google Scholar
• De Stavola , B. L. (1988). Testing departures from time homogeneity in multivariate Markov processes. Appl. Statist. 37:242–250.
   Google Scholar
• Efron , B. ( 1983 ). Estimating the error rate of a prediction rule: improvement on cross-validation . J. Amer. Statist. Assoc. 78 : 316 – 331 .
   Web of Science ®Google Scholar
• Kalbfleisch , J. D. , Lawless , J. F. ( 1985 ). The analysis of panel data under a Markov assumption . J. Amer. Statist. Assoc. 80 : 863 – 871 .
   Web of Science ®Google Scholar
• Kallenberg , C. M. , Oosterhoff , J. , Schriever , B. F. ( 1985 ). The number of classes in chi-squared goodness-of-fit tests . J. Amer. Statist. Assoc. 80 : 959 – 968 .
   Web of Science ®Google Scholar
• Kay , R. ( 1986 ). A Markov model of analyzing cancer markers and disease states in survival studies . Biometrics 42 : 855 – 865 .
   PubMed Web of Science ®Google Scholar
• Korn , E. L. , Whittemore , A. S. ( 1979 ). Methods for analyzing panel studies of acute health effects of air pollution . Biometrics 35 : 795 – 802 .
   PubMed Web of Science ®Google Scholar
• Linhart , H. , Zucchini , W. ( 1986 ). Model Selection . New York : John Wiley and Sons .
   Google Scholar
• Longini , I. M. , Hudgens , M. G. , Halloran , M. E. , Sagatelian , K. ( 1999 ). A Markov model for measuring vaccine efficacy for both susceptibility to infection and reduction in infectiousness for prophylactic HIV vaccines . Statist. Med. 18 : 53 – 68 .
   Google Scholar
• Rao , C. R. ( 1973 ). Linear Statistical Interferece and Its Applications. , 2nd ed. New York : John Wiley and Sons .
   Google Scholar
• Roddy , R. E. , Zekeng , L. , Ryan , K. A. , Weir , S. S. , Tamoufe , U. , Wong , E. L. ( 1998 ). A controlled trial of nonoxynol 9 film use on male-to-female transmission of sexually transmitted diseases . New England J. Med. 339 : 504 – 510 .
   PubMed Web of Science ®Google Scholar
• Stone , M. ( 1974 ). Cross-validation and multinomial prediction . Biometrika 61 : 509 – 515 .
   Web of Science ®Google Scholar
• Van Houwelingen , J. C. , Le Cessie , S. ( 1990 ). Predictive value of statistical model . Statist. Med. 9 : 1303 – 1325 .
   PubMed Web of Science ®Google Scholar
• Zeger , S. L. , Qaqish , B. ( 1988 ). Markov regression models for time series: a quasi-likelihood approach . Biometrics 44 : 1019 – 1031 .
   PubMed Web of Science ®Google Scholar