Constructing belief functions from sample data using multinomial confidence regions

[1]  Arthur P. Dempster,et al.  Upper and Lower Probabilities Induced by a Multivalued Mapping , 1967, Classic Works of the Dempster-Shafer Theory of Belief Functions.

[2]  Thierry Denoeux,et al.  Inferring a possibility distribution from empirical data , 2006, Fuzzy Sets Syst..

[3]  Pietro Baroni,et al.  An uncertainty interchange format with imprecise probabilities , 2005, Int. J. Approx. Reason..

[4]  Philippe Smets,et al.  Belief functions on real numbers , 2005, Int. J. Approx. Reason..

[5]  Lev V. Utkin Extensions of belief functions and possibility distributions by using the imprecise Dirichlet model , 2005, Fuzzy Sets Syst..

[6]  Jean-Marc Bernard,et al.  An introduction to the imprecise Dirichlet model for multinomial data , 2005, Int. J. Approx. Reason..

[7]  Jim W. Hall,et al.  Generation, combination and extension of random set approximations to coherent lower and upper probabilities , 2004, Reliab. Eng. Syst. Saf..

[8]  Chia-Ding Hou,et al.  A family of simultaneous confidence intervals for multinomial proportions , 2003, Comput. Stat. Data Anal..

[9]  Didier Dubois,et al.  New Semantics for Quantitative Possibility Theory , 2001, ECSQARU.

[10]  Myoungshic Jhun,et al.  Applications of bootstrap methods for categorical data analysis , 2000 .

[11]  Peter Walley,et al.  Towards a unified theory of imprecise probability , 2000, Int. J. Approx. Reason..

[12]  J. Glaz,et al.  Simultaneous confidence intervals for multinomial proportions , 1999 .

[13]  Kweku-Muata Osei-Bryson,et al.  A process for generating quantitative belief functions , 1999, Eur. J. Oper. Res..

[14]  Dov M. Gabbay,et al.  Handbook of defeasible reasoning and uncertainty management systems: volume 2: reasoning with actual and potential contradictions , 1998 .

[15]  Philippe Smets,et al.  The Transferable Belief Model for Quantified Belief Representation , 1998 .

[16]  Prakash P. Shenoy,et al.  Binary join trees for computing marginals in the Shenoy-Shafer architecture , 1997, Int. J. Approx. Reason..

[17]  W D Johnson,et al.  A SAS macro for constructing simultaneous confidence intervals for multinomial proportions. , 1997, Computer methods and programs in biomedicine.

[18]  P. Walley Inferences from Multinomial Data: Learning About a Bag of Marbles , 1996 .

[19]  J. Kohlas,et al.  A Mathematical Theory of Hints: An Approach to the Dempster-Shafer Theory of Evidence , 1995 .

[20]  Joseph Glaz,et al.  Simultaneous Confidence Intervals and Sample Size Determination for Multinomial Proportions , 1995 .

[21]  Jürg Kohlas,et al.  A Mathematical Theory of Hints , 1995 .

[22]  Philippe Smets,et al.  Belief Induced by the Partial Knowledge of the Probabilities , 1994, UAI.

[23]  Luis M. de Campos,et al.  Probability Intervals: a Tool for uncertain Reasoning , 1994, Int. J. Uncertain. Fuzziness Knowl. Based Syst..

[24]  S. K. Michael Wong,et al.  Representation of Qualitative User Preference by Quantitative Belief Functions , 1994, IEEE Trans. Knowl. Data Eng..

[25]  Philippe Smets,et al.  The Transferable Belief Model , 1991, Artif. Intell..

[26]  Philippe Smets,et al.  Belief functions: The disjunctive rule of combination and the generalized Bayesian theorem , 1993, Int. J. Approx. Reason..

[27]  Philippe Smets,et al.  Resolving misunderstandings about belief functions , 1992, Int. J. Approx. Reason..

[28]  L. Wasserman Belief functions and statistical inference , 1990 .

[29]  Glenn Shafer,et al.  Perspectives on the theory and practice of belief functions , 1990, Int. J. Approx. Reason..

[30]  Peter Walley,et al.  Belief Function Representations of Statistical Evidence , 1987 .

[31]  Khaled Mellouli,et al.  Propagating belief functions in qualitative Markov trees , 1987, Int. J. Approx. Reason..

[32]  Alastair Scott,et al.  Quick Simultaneous Confidence Intervals for Multinomial Proportions , 1987 .

[33]  Arthur P. Dempster A Class of Random Convex Polytopes , 1972 .

[34]  A. Dempster Upper and Lower Probabilities Generated by a Random Closed Interval , 1968 .

[35]  I. Hacking Logic of Statistical Inference , 1966 .

[36]  L. A. Goodman On Simultaneous Confidence Intervals for Multinomial Proportions , 1965 .

[37]  D. C. Hurst,et al.  Large Sample Simultaneous Confidence Intervals for Multinomial Proportions , 1964 .