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Journal of the American Statistical Association Volume 65, 1970 - Issue 331
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Theory and Method

Sufficiency and Exponential Families for Discrete Sample Spaces

Erling Bernhard Andersen Copenhagen School of Economics, USA
Pages 1248-1255 | Published online: 05 Apr 2012

References

  • Barankin , E. W. and Maitra , A. 1963 . “Generalizations of the Fisher-Darmois-Koopman-Pitman Theorem on Sufficient Statistics,” . Sankhya, A , 25 : 217 – 44 .
  • Barndorff , O. and Pedersen , K. 1967 . “Sufficient Data Reduction and Exponential Families,” . Mathematica Scandinavia , 23 : 197 – 202 .
  • Brown , L. 1964 . “Sufficient Statistics in the Case of Independent Random Variables,” . Annals of Mathematical Statistics , 35 : 1456 – 74 .
  • Denny , J. L. “Sufficient Conditions for a Family of Probabilities to be Exponential,” . Proceedings, National Academy of Science, U.S.A. Vol. 57 , pp. 1184 – 88 .
  • Dynkin , E. B. 1961 . “Necessary and Sufficient Statistics for a Family of Probability Distributions,” . Selected Translations: Mathematical Statistics and Probability , 1 : 23 – 41 .
  • Fraser , D. A. S. 1963 . “On Sufficiency and the Exponential Family,” . Journal of the Royal Statistical Society, B , 25 : 115 – 23 .
  • Kendall , M. G. and Stuart , A. 1961 . The Advanced Theory of Statistics , Vol. 2 , London : Griffin & Co. .
  • Lehmann , E. L. 1959 . Testing Statistical Hypothesis , New York : John Wiley & Sons, Inc. .
  • Rao , C. R. 1952 . Advanced Statistical Methods in Biometric Research , New York : John Wiley & Sons. Inc. .

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