General partially linear varying-coefficient transformation models for ranking data

References

• Bennett , S. 1983 . Analysis of survival data by the proportional odds model . Stat. Med. , 2 ( 2 ) : 273 – 277 .
   PubMedGoogle Scholar
• Benter , W. 1995 . “ Computer based horse race handicapping and wagering systems ” . In Efficiency of Racetrack Betting Markets (Economic Theory, Econometrics and Mathematical Economics) , Edited by: Hausch , D. B. , Lo , V. S.Y. and Ziemba , W. T. San Diego : Academic Press .
   Google Scholar
• Bolton , R. and Chapman , R. 1986 . Searching for positive returns at the track: A multinomial logit model for handicapping horse races . Manage. Sci. , 32 ( 8 ) : 1040 – 1060 .
   Web of Science ®Google Scholar
• Cai , T. , Cheng , S. and Wei , L. 2002 . Semiparametric mixed-effects models for clustered failure time data . J. Amer. Statist. Assoc. , 97 ( 458 ) : 514 – 522 .
   Web of Science ®Google Scholar
• Cai , J. , Fan , J. , Jiang , J. and Zhou , H. 2007 . Partially linear hazard regression for multivariate survival data . J. Amer. Statist. Assoc. , 102 ( 478 ) : 538 – 551 .
   Web of Science ®Google Scholar
• Chen , K. , Jin , Z. and Ying , Z. 2002 . Semiparametric analysis of transformation models with censored data . Biometrika , 89 ( 3 ) : 659 – 668 .
   Web of Science ®Google Scholar
• Chen , H. and Little , R. 2001 . A profile conditional likelihood approach for the semiparametric transformation regression model with missing covariates . Lifetime Data Anal. , 7 ( 3 ) : 207 – 224 .
   PubMed Web of Science ®Google Scholar
• Cheng , S. , Wei , L. and Ying , Z. 1995 . Analysis of transformation models with censored data . Biometrika , 82 ( 4 ) : 835 – 845 .
   Web of Science ®Google Scholar
• Cox , D. 1972 . Regression models and life tables (with discussion) . J. R. Stat. Soc. Ser. B , 34 ( 2 ) : 187 – 220 .
   Web of Science ®Google Scholar
• Cuzick , J. 1988 . Rank regression . Ann. Statist. , 16 ( 4 ) : 1369 – 1389 .
   Web of Science ®Google Scholar
• Dabrowska , D. and Doksum , K. 1988 . Partial likelihood in transformation models with censoring data . Scand. J. Statist. , 15 ( 1 ) : 1 – 23 .
   Web of Science ®Google Scholar
• deBoor , C. 1978 . A Practical Guide to Splines , New York : Springer-Verlag .
   Google Scholar
• Fan , J. and Zhang , W. 1999 . Statistical estimation in varying coefficient models . Ann. Statist. , 27 : 1491 – 1518 .
   Web of Science ®Google Scholar
• Fine , J. 1999 . Analyzing competing risks data with transformation models . J. R. Stat. Soc. Ser. B , 61 ( 4 ) : 817 – 830 .
   Google Scholar
• Fine , J. , Ying , Z. and Wei , L. 1998 . On the linear transformation model for censored data . Biometrika , 85 ( 4 ) : 980 – 998 .
   Web of Science ®Google Scholar
• Francis , B. , Dittrich , R. and Hatzinger , R. 2010 . Modeling heterogeneity in ranked responses by nonparametric maximum likelihood: How do Europeans get their scientific knowledge? . Ann. Appl. Stat. , 4 ( 4 ) : 2181 – 2202 .
   Web of Science ®Google Scholar
• Francis , B. , Dittrich , R. , Hatzinger , R. and Penn , R. 2002 . Analysing partial ranks by using smoothed paired comparison methods: An investigation of value orientation in Europe . J. R. Stat. Soc. Ser. C (Appl. Stat.) , 51 ( 3 ) : 319 – 336 .
   Web of Science ®Google Scholar
• Gabriel , P. and Marsden , J. 1990 . An examination of market efficiency in British racetrack betting . J. Polit. Econ. , 98 ( 4 ) : 874 – 885 .
   Web of Science ®Google Scholar
• Gabriel , P. and Marsden , J. 1991 . An examination of efficiency in British racetrack betting: Errata and corrections . J. Polit. Econ. , 99 ( 3 ) : 657 – 659 .
   Web of Science ®Google Scholar
• Gormley , I. and Murphy , T. 2008 . A mixture of experts model for rank data with applications in election studies . Ann. Appl. Stat. , 2 ( 4 ) : 1452 – 1477 .
   Web of Science ®Google Scholar
• Gormley , I. and Murphy , T. 2010 . “ Clustering ranked preference data using sociodemographic covariates ” . In Choice Modelling: The State-of-the-Art and the State-of-Practice , Edited by: Hess , S. and Daly , A. 534 – 569 . Bingley : Emerald Group .
   Google Scholar
• Gormley , I. and Murphy , T. 2011 . “ Mixture of experts modelling with social science applications ” . In Mixture: Estimation and Applications , Edited by: Mengersen , K. , Robert , C. and Titterington , M. 101 – 121 . Chichester : Wiley .
   Google Scholar
• Gu , M. , Sun , L. and Zuo , G. 2005 . A baseline-free procedure for transformation models under interval censorship . Lifetime Data Anal. , 11 ( 4 ) : 473 – 488 .
   PubMed Web of Science ®Google Scholar
• Hausch , D. , Ziemba , W. and Rubinstein , M. 1981 . Efficiency of the market for racetrack betting . Manage. Sci. , 27 ( 12 ) : 1435 – 1452 .
   Web of Science ®Google Scholar
• Huang , J. and Shen , H. 2004 . Functional coefficient regression models for nonlinear time series: A polynomial spline approach . Scand. J. Statist. , 31 : 515 – 534 .
   Web of Science ®Google Scholar
• Huang , J. , Wu , C. and Zhou , L. 2002 . Varying-coefficient models and basis function approximations for the analysis of repeated measurements . Biometrika , 89 : 111 – 128 .
   Web of Science ®Google Scholar
• Huang , J. , Wu , C. and Zhou , L. 2004 . Polynomial spline estimation and inference for varying coefficient models with longitudinal data . Statist. Sinica , 14 : 763 – 788 .
   Web of Science ®Google Scholar
• Lam , K. and Leung , T. 2001 . Marginal likelihood estimation for proportional odds models with right censored data . Lifetime Data Anal. , 7 ( 1 ) : 39 – 54 .
   PubMed Web of Science ®Google Scholar
• Lee , P. and Yu , P. 2010 . Distance-based tree models for ranking data . Comput. Statist. Data Anal. , 54 : 1672 – 1682 .
   Web of Science ®Google Scholar
• Li , J. and Zhang , R. 2011 . Partially varying coefficient single index proportional hazards regression models . Comput. Statist. Data Anal. , 55 ( 1 ) : 389 – 400 .
   Web of Science ®Google Scholar
• Losey , R. and Talbott , J. 1980 . Back on the track with the efficient markets hypothesis . J. Finance , 35 ( 4 ) : 1039 – 1043 .
   Web of Science ®Google Scholar
• Murphy , S. , Rossini , A. and Vaart van der , A. 1997 . Maximum likelihood estimation in the proportional odds model . J. Amer. Statist. Assoc. , 92 ( 439 ) : 968 – 976 .
   Web of Science ®Google Scholar
• Pettitt , A. 1984 . Proportional odds model for survival data and estimates using ranks . Appl. Stat. , 33 ( 2 ) : 169 – 175 .
   Web of Science ®Google Scholar
• Sleeper , L. and Harrington , D. 1990 . Regression splines in the Cox model with application to covariate effects in liver disease . J. Amer. Statist. Assoc. , 85 ( 412 ) : 941 – 949 .
   Web of Science ®Google Scholar
• Sung , M. , Johnson , J. and Bruce , A. 2005 . “ Searching for semi-strong form inefficiency in the UK racetrack betting market ” . In Information Efficiency in Financial and Betting Markets , Edited by: VaughanWilliams , L. 179 – 192 . Cambridge : Cambridge University Press .
   Google Scholar
• Thurstone , L. 1927 . A law of comparative judgment . Psychol. Rev. , 34 ( 4 ) : 273 – 286 .
   Google Scholar
• Thurstone , L. 1931 . Rank order as a paychlological method . J. Exp. Psychol. , 14 ( 3 ) : 187 – 201 .
   Google Scholar
• Wong , H. , Ip , W. and Zhang , R. 2008 . Varying-coefficient single-index model . Comput. Statist. Data Anal. , 52 : 1458 – 1476 .
   Web of Science ®Google Scholar
• Xue , L. and Liang , H. 2010 . Polynomial spline estimation for a generalized additive coefficient model . Scand. J. Statist. , 37 : 26 – 46 .
   Web of Science ®Google Scholar
• Yang , S. and Prentice , R. 1999 . Semiparametric inference in the proportional odds regression model . J. Amer. Statist. Assoc. , 94 ( 4450 ) : 125 – 136 .
   Web of Science ®Google Scholar
• Zeng , D. and Lin , D. 2007 . Semiparametric transformation models with random effects for recurrent events . J. Amer. Statist. Assoc. , 102 ( 477 ) : 167 – 180 .
   Web of Science ®Google Scholar
• Zeng , D. and Lin , D. 2007 . Maximum likelihood estimation in semiparametric regression models with censored data . J. R. Stat. Soc. Ser. B , 69 ( 7 ) : 507 – 564 .
   Google Scholar