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Original Articles

On an exponential family

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Pages 153-168 | Received 01 Sep 1977, Published online: 27 Jun 2007

References

  • Bildikar , S. and Patil , G.P. 1968 . Multivariate exponential type distributions . Ann. Math. Statist , 38 : 1316 – 1326 .
  • Blackwell , D. and Girshick , M.A. 1954 . The Theory of Games and Statistical Decision , New York : John Wiley & Sons .
  • Gould , H.W. 1956 . Some generalizations of Vandermonde's convolution . Amer.Math. Monthly , 63 : 84 – 91 .
  • Gupta , R.C. 1974 . Modified power series distribution and some of its applications . Sankhyā B , 36 : 288 – 298 .
  • Gupta , R.C. 1975 . Maximum likelihood estimation of a modified power series distribution and some of its applications . Commun. Statist , 4 : 689 – 697 .
  • Jain , G.C. 1974 . A Borel-Tanner distribution and its approximation to the negative binomial distribution . Math. Operationsforsch. Statist , 5 : 207 – 212 .
  • Jain , G.C. 1975 . On power series distributions associated with Lagrange expansion . Biometr. Z , 17 : 85 – 97 .
  • Jain , G.C. and Singh , N. 1975 . On bivariate power series distributions associated with Lagrange expansion . J. Amer. Statist. Assoc , 70 : 951 – 954 .
  • Jensen , J.W.L. 1902 . Sur une identite, d'Abel et pur d'autres formules analogues . Acta Math , 26 : 307 – 318 .
  • Johnson , N.L. and Kotz , S. 1970 . Continuous Univariate Distributions–1 , Boston : Houghton Mifflin .
  • Kendall , D.G. 1957 . Some problems in the theory of dams . J. Roy. Statist. Soc.B , 2 : 207 – 212 .
  • Kendall , M.G. and Stuart , A. 1967 . The Advanced Theory of Statistics , Vol. 2 , London : Charles Griffin .
  • Khan , M.S.H. and Jain , G.C. 1977 . A class of distributions in the first emptiness of a semi-infinite reservoir . Biometr. Z , 2 to appear
  • Koopman , B.O. 1936 . On distributions admitting a sufficient statistic . Trans. Amer. Math. Soc , 39 : 399
  • Owen , D.B. 1962 . Handbook of Statistical Tables , Reading, Mass : Addison-Wesley Publ . London
  • Patil , G.P. 1963 . A characterization of the exponential-type distribution . Biometriha , 50 : 205 – 207 .
  • Patil , G.P. and Shorrock , R. 1965 . On certain properties of the exponential-type families . J. Roy. Statist. Soc.B , 27 : 91 – 97 .
  • Pitman , E.J.G. 1936 . Sufficient statistics and intrinsic accuracy . Proc. Camb. Phil. Soc , 32 : 567 – 579 .
  • Riordan , J. 1936 . Combinatorial Identities , New York : Wiley .
  • Wani , J.K. 1968 . On the linear exponential family . Proc. Camb. Phil. Soc , 64 : 481 – 483 .

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