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Classroom Notes

Raw and central moments of binomial random variables via Stirling numbers

Pages 264-272 | Received 04 Nov 2011, Published online: 08 May 2012

References

  • Grimmett , G and Stirzaker , D . 2001 . Probability and Random Processes , Oxford : Oxford University Press .
  • Miller , J . 2001 . Statistics 3 & 4 , Cambridge : Cambridge University Press .
  • Devore , J . 1995 . Probability and Statistics for Engineering and the Sciences , Pacific Grove, CA : Brooks-Cole .
  • Larson , RJ and Marx , ML . 2001 . An Introduction to Mathematical Statistics and its Applications , Upper Saddle River, NJ : Prentice Hall .
  • Harris , B . 1966 . Theory of Probability , Reading, MA : Addison-Wesley .
  • Joarder , AH and Mahmood , M . 1997 . An inductive derivation of Stirling numbers of the second kind and their applications in statistics . J. Appl. Math. Decis. Sci. , 1 ( 2 ) : 151 – 157 .
  • Koehler , K . 1979 . A general formula for moments of the Pearson goodness-of-fit statistic for alternatives . Biometrika , 66 ( 2 ) : 397 – 399 .
  • Knoblauch , A . 2008 . Closed-form expressions for the moments of the binomial probability distribution . SIAM J. Appl. Math. , 69 ( 1 ) : 197 – 204 .
  • Benyi , A . 2005 . A recursive formula for moments of a binomial distribution . Coll. Math. J. , 36 ( 1 ) : 68 – 72 .
  • Cameron , PJ . 1994 . Combinatorics: Topics, Techniques, Algorithms , Cambridge : Cambridge University Press .
  • Knuth , DE . 1968 . The Art of Computer Programming , Vol. 1 , Reading, MA : Addison-Wesley .

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