Models for Distributions on Permutations

References

• Asch , P. and Quandt , R. E. 1986 . Racetrack Betting , Dover , MA : Auburn House .
   Google Scholar
• Bradley , R. A. and Terry , M. E. 1952 . Rank Analysis of Incomplete Block Designs, I: The Method of Paired Comparisons . Biometrika , 39 : 324 – 345 .
   Web of Science ®Google Scholar
• Chakrabati , S. K. 1969 . A Note on the Relation Between Binary and Multiple Choice Probabilities . Econometrica , 37 : 726 – 727 .
   Web of Science ®Google Scholar
• Daniels , H. E. 1950 . Rank Correlation and Population Models . Journal of the Royal Statistical Society , 12 : 171 – 181 . Ser. B
   Google Scholar
• David , H. A. 1963 . The Method of Paired Comparisons , London : Charles W. Griffin .
   Google Scholar
• Dawkins , R. 1969 . A Threshold Model of Choice Behavior . Animal Behaviour , 17 : 120 – 133 .
   Web of Science ®Google Scholar
• Dempster , A. P. , Laird , N. M. and Rubin , D. B. 1977 . Maximum Likelihood From Incomplete Data via the EM Algorithm . Journal of the Royal Statistical Society , 39 : 1 – 38 . (with discussion), Ser. B
   Google Scholar
• Diaconis , P. 1988 . Group Representations in Probability and Statistics , Hayward , CA : Institute of Mathematical Statistics . (Lecture Notes, Monograph Ser., Vol. 11)
   Google Scholar
• Fabricand , B. F. 1965 . Horse Sense , New York : David McKay .
   Google Scholar
• Feigin , P. D. and Cohen , A. 1978 . On a Model of Concordance Between Judges . Journal of the Royal Statistical Society , 40 : 203 – 213 . Ser. B
   Google Scholar
• Fligner , M. A. and Verducci , J. S. 1986 . Distance-Based Ranking Models . Journal of the Royal Statistical Society , 48 : 859 – 869 . Ser. B
   Google Scholar
• Fligner , M. A. and Verducci , J. S. 1988 . Multistage Ranking Models . Journal of the American Statistical Association , 83 : 892 – 901 .
   Web of Science ®Google Scholar
• Georgescu-Roegen , N. 1969 . The Relation Between Binary and Multiple Choice Probabilities: Some Comments and Further Results . Econometrica , 37 : 728 – 730 .
   Web of Science ®Google Scholar
• Harville , D. A. 1973 . Assigning Probabilities to the Outcomes of Multi-entry Competitions . Journal of the American Statistical Association , 68 : 312 – 316 .
   Web of Science ®Google Scholar
• Henery , R. J. 1981 . Permutation Probabilities as Models for Horse Races . Journal of the Royal Statistical Society , 43 : 86 – 91 . Ser. B
   Google Scholar
• Henery , R. J. 1983 . Permutation Probabilities for Gamma Random Variables . Journal of Applied Probability , 20 : 822 – 834 .
   Web of Science ®Google Scholar
• Latta , R. B. 1979 . Composition Rules for Probabilities From Paired Comparisons . The Annals of Statistics , 7 : 349 – 371 .
   Web of Science ®Google Scholar
• Luce , R. D. 1959 . Individual Choice Behavior , New York : John Wiley .
   Google Scholar
• Mallows , C. L. 1957 . Non-null Ranking Models, I . Biometrika , 44 : 114 – 130 .
   Web of Science ®Google Scholar
• Mihram , G. A. 1975 . A Generalized Extreme-Value Density . South African Statistical Journal , 9 : 153 – 162 .
   Web of Science ®Google Scholar
• Mosteller , F. 1951 . Remarks on the Methods of Paired Comparisons, I: The Least Squares Solution Assuming Equal Standard Deviations and Equal Correlations . Psychometrika , 16 : 3 – 9 .
   Web of Science ®Google Scholar
• Plackett , R. L. 1975 . The Analysis of Permutations . Applied Statistics , 24 : 193 – 202 .
   Web of Science ®Google Scholar
• Schulman , R. S. 1979 . Ordinal Data: An Alternative Distribution . Psychometrika , 44 : 3 – 21 .
   Web of Science ®Google Scholar
• Snyder , W. W. 1978 . Horse Racing: Testing the Efficient Markets Model . Journal of Finance , 33 : 1109 – 1118 .
   Web of Science ®Google Scholar
• Stern , H. S. 1987 . Gamma Processes, Paired Comparisons and Ranking , Stanford University, Dept. of Statistics . unpublished Ph.D. dissertation
   Google Scholar
• Stern , H. S. A Continuum of Paired Comparison Models . Biometrika , 77 (in press)
   Web of Science ®Google Scholar
• Tallis , G. M. and Dansie , B. R. 1983 . An Alternative Approach to the Analysis of Permutations . Applied Statistics , 32 : 110 – 114 .
   Web of Science ®Google Scholar
• Thurstone , L. L. 1927 . A Law of Comparative Judgment . Psychological Reviews , 34 : 273 – 286 .
   Google Scholar
• Upton , G. J. G. and Brook , D. 1975 . The Determination of the Optimum Position on a Ballot Paper . Applied Statistics , 24 : 279 – 287 .
   Web of Science ®Google Scholar
• Yellott , J. I. Jr. 1977 . The Relationship Between Luce's Choice Axiom, Thurstone's Theory of Comparative Judgment, and the Double Exponential Distribution . Journal of Mathematical Psychology , 15 : 109 – 144 .
   Web of Science ®Google Scholar
• Ziemba , W. T. and Hausch , D. B. 1987 . Dr. Z's Beat the Racetrack , New York : William Morrow .
   Google Scholar