C246. Very small tails of the t distribution, and significance tests for clustering

References

• Abramowitz , M. 1964 . Handbook of Mathematical Functions , Edited by: Stegun , I. Washington, D.C : U.S. Government Printing Office .
   Google Scholar
• Cooper , B.E. 1985 . “ The integral of Student’s t-distribution ” . In Applied Statistics Algorithms , Edited by: Griffiths , P. and Hill , I.D. 40 – 42 . Chichester : Ellis Horwood .
   Google Scholar
• Edwards , Joseph . 1894 . Integral Calculus for Beginners , London : Macmillan . Reprinted many times
   Google Scholar
• Good , I.J. 1965 . “ Categorization of classification ” . In Mathematics and Computer Science in Biology and Medicine , Edited by: Michie , D. , Hartigan , J.A. , Healy , M.J.R. , Wolff , H.S. and Strickland , D.A.P. 115 – 125 . London : Her Majesty’s Stationery Office . Correction in J. Statist. Comp. Simul.,14,(1981), 79
   Google Scholar
• Good , I.J. 1975 . The number of hypotheses of independence for a random vector or for a multidimensional contigency table, and the Bell numbers . Iranian J. Sci. Technology , 4 : 77 – 83 .
   Google Scholar
• Good , I.J. and Smith , Eric P. 1985a . “ An additive algorithm analogous to the singular decomposition; or a comparison of polarization and multiplicative models: An example of qualitative robustness ” . In Commun. Statist Accepted for publication in
   Google Scholar
• Good , I.J. and Smith , Eric P. 1985b . A continuum of principal component methods . J. Statist. Comp. Simul , 23 ( 1 ) C240
   Web of Science ®Google Scholar
• Hartigan , J.A. 1977 . “ Distribution problems in clustering ” . In Classification and Clustering , Edited by: van Ryzin , J. 45 – 71 . New York : Academic Press .
   Google Scholar
• Moser , L. and Wyman , M. 1955 . An asymptotic formula for the Bell numbers . Trans. R. Soc. Canada , 49 : 49 – 54 . Third Series, Section III
   Google Scholar
• Owen , D.B. 1965 . A special case of a bivariate non-central t-distribution . Biometrika , 52 : 437 – 446 .
   Web of Science ®Google Scholar
• Riordan , J. 1958 . An Introduction to Combinatorial Analysis , New York : Wiley .
   Google Scholar
• Rossi , R.J. and Ramsey , F.L. May 1984 . P-values for extreme values of the normal, Student's t, chi-square[d] and F statistics , May , Dept. of Statistics, Oregon State Univ. . Tech. Rep. 99
   Google Scholar
• Zelen M. Severo N. C. Probability functions 1964 925 995 Chap. 26 of Abramowicz and Stegun (1964)
   Google Scholar