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Original Articles

On a Relation Between a Family of Distributions Attaining the Bhattacharyya Bound and That of Linear Combinations of the Distributions from an Exponential Family

Pages 1885-1896 | Published online: 15 Feb 2007

References

  • Bhattacharyya , A. 1946 . On some analogues of the amount of information and their use in statistical estimation . Sankhy[abar] , 8 : 1 – 14 .
  • Fend , A. V. 1959 . On the attainment of Cramér-Rao and Bhattacharyya bounds for the variance of an estimate . Ann. Math. Statist , 30 : 381 – 388 .
  • Lehmann , E. L. and Casella , G. 1998 . Theory of Point Estimation. , 2nd ed. Springer : New York .
  • Tanaka , H. and Akahira , M. 2003 . On a family of distributions attaining the Bhattacharyya bound . Ann. Inst. Statist. Math , 55 : 309 – 317 .
  • Wijsman , R. A. 1973 . On the attainment of the Cramér-Rao lower bound . Ann. Statist , 1 : 538 – 542 .
  • Zacks , S. 1971 . The Theory of Statistical Inference New York : Wiley .

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