Nonparametric Predictive Inference for Ordinal Data

References

• Agresti , A. ( 1980 ). Generalized odds ratios for ordinal data . Biometrics 36 : 59 – 67 .
   Web of Science ®Google Scholar
• Agresti , A. ( 2010 ). Analysis of Ordinal Categorical Data. , 2nd ed. Hoboken , NJ : Wiley .
   Google Scholar
• Arts , G. R. J. , Coolen , F. P. A. , van der Laan , P. ( 2004 ). Nonparametric predictive inference in statistical process control . Qual. Technol. Quantitat. Manage. 1 : 201 – 216 .
   Google Scholar
• Augustin , T. , Coolen , F. P. A. ( 2004 ). Nonparametric predictive inference and interval probability . J. Statist. Plann. Infer. 124 : 251 – 272 .
   Web of Science ®Google Scholar
• Baker , R. M. ( 2010 ). Multinomial nonparametric predictive inference: selection, classification and subcategory data. PhD Thesis, Durham University (www.npi-statistics.com) .
   Google Scholar
• Bernard , J. M. (2005). An introduction to the imprecise Dirichlet model for multinomial data. Int. J. Approx. Reason. 39:123–150.
   Web of Science ®Google Scholar
• Coolen , F. P. A. ( 1996 ). Comparing two populations based on low stochastic structure assumptions . Statist. Probab. Lett. 29 : 297 – 305 .
   Web of Science ®Google Scholar
• Coolen , F. P. A. ( 1997 ). An imprecise Dirichlet model for Bayesian analysis of failure data including right-censored observations . Reliab. Eng. Syst. Safety 56 : 61 – 68 .
   Web of Science ®Google Scholar
• Coolen , F. P. A. ( 1998 ). Low structure imprecise predictive inference for Bayes’ problem . Statist. Probab. Lett. 36 : 349 – 357 .
   Web of Science ®Google Scholar
• Coolen , F. P. A. ( 2006 ). On nonparametric predictive inference and objective Bayesianism . J. Logic Lang. Inform. 15 : 21 – 47 .
   Google Scholar
• Coolen , F. P. A. , Augustin , T. ( 2005 ). Learning from multinomial data: a nonparametric predictive alternative to the imprecise dirichlet model . In: Cozman , F. G. , Nau , R. , Seidenfeld , T. , eds. ISIPTA’05: Proceedings of the Fourth International Symposium on Imprecise Probabilities and their Applications . pp. 125 – 134 .
   Google Scholar
• Coolen , F. P. A. , Augustin , T. ( 2009 ). A nonparametric predictive alternative to the imprecise Dirichlet model: the case of a known number of categories . Int. J. Approx. Reason. 50 : 217 – 230 .
   Web of Science ®Google Scholar
• Coolen , F. P. A. , Coolen-Schrijner , P. ( 2006 ). Nonparametric predictive subset selection for proportions . Statist. Probab. Lett. 76 : 1675 – 1684 .
   Web of Science ®Google Scholar
• Coolen , F. P. A. , Coolen-Schrijner , P. ( 2007 ). Nonparametric predictive comparison of proportions . J. Statist. Plann. Infer. 137 : 23 – 33 .
   Web of Science ®Google Scholar
• Coolen , F. P. A. , van der Laan , P. ( 2001 ). Imprecise predictive selection based on low structure assumptions . J. Statist. Plann. Infer. 98 : 259 – 277 .
   Web of Science ®Google Scholar
• Coolen-Maturi , T. , Coolen-Schrijner , P. , Coolen , F. P. A. ( 2011 ). Nonparametric predictive selection with early termination of experiments . J. Statist. Plann. Infer. 141 : 1403 – 1421 .
   Web of Science ®Google Scholar
• Coolen-Maturi , T. , Coolen-Schrijner , P. , Coolen , F. P. A. ( 2012 ). Nonparametric predictive multiple comparisons of lifetime data . Commun. Statist. Theor. Meth. 41 : 4164 – 4181 .
   Web of Science ®Google Scholar
• De Finetti , B. ( 1974 ). Theory of Probability . London : Wiley .
   Google Scholar
• Hill , B. M. ( 1968 ). Posterior distribution of percentiles: Bayes’ theorem for sampling from a population . J. Amer. Statist. Assoc. 63 : 677 – 691 .
   Web of Science ®Google Scholar
• Lawless , J. F. , Fredette , M. ( 2005 ). Frequentist prediction intervals and predictive distributions . Biometrika 92 : 529 – 542 .
   Web of Science ®Google Scholar
• Liu , I. , Agresti , A. ( 2005 ). The analysis of ordered categorical data: an overview and a survey of recent developments (with discussion) . Test 14 : 1 – 73 .
   Web of Science ®Google Scholar
• Shafer , G. A. ( 1976 ). Mathematical Theory of Evidence . Princeton , NJ : Princeton University Press .
   Google Scholar
• Walley , P. ( 1991 ). Statistical Reasoning with Imprecise Probabilities . London : Chapman & Hall .
   Google Scholar
• Walley , P. ( 1996 ). Inferences from multinomial data: learning about a bag of marbles (with discussion) . J. Roy. Statist. Soc. Ser. B 58 : 3 – 57 .
   Web of Science ®Google Scholar
• Weichselberger , K. ( 2000 ). The theory of interval-probability as a unifying concept for uncertainty . Int. J. Approx. Reason. 24 : 149 – 170 .
   Web of Science ®Google Scholar
• Weichselberger , K. ( 2001 ). Elementare Grundbegriffe einer allgemeineren Wahrscheinlichkeitsrechnung I. Intervallwahrscheinlichkeit als umfassendes Konzept . Heidelberg : Physika .
   Google Scholar