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Communications in Statistics - Theory and Methods Volume 18, 1989 - Issue 2
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Original Articles

On the differences of two generalized negative binomial variates

P. C. Consul University of Calgary, Calgary, Alberta, Canada
Pages 673-690 | Received 01 May 1988, Published online: 27 Jun 2007

References

  • Charalambides , C. A. 1974 . Minimum variance unbiased estimation for a class of left truncated discrete distributions . Sankhya , A 36 : 397 – 418 .
  • Consul , P. C. 1986 . On the differences of two generalized Poisson variates . Commun. Statist. -Simula , y ( 3 ) : 761 – 767 .
  • Consul , P. C. and Gupta , H. C. 1980 . The generalized negative binomial distribution and its characterization by zero regression . SIAM Jour. Appld. Math , 39 ( 2 ) : 231 – 237 .
  • Consul , P. C. and Shenton , L. R. 1972 . Use of Lagrange expansion for generating discrete generalized probability distributions . SIAM Jour. Appld. Math , 23 ( 2 ) : 239 – 248 .
  • Gupta , R. C. 1974 . Modified power series distribution and some of its applications . Sankhya , B36 ( 2 ) : 288 – 298 .
  • Trwin , J. O. 1937 . The frequency distribution of the difference between two dependent variates following the same Poisson distribuition . Jour. Roy. Stat. Soc , 100 ( 2 ) : 415 – 416 .
  • Jain , G. C. and Consul , P. C. 1971 . A generalized negative binomial distriabution . SIAM Jour. Appld. Math , 21 ( 4 ) : 501 – 513 .
  • Haiti , S. K. 1960 . Moments of the absolute difference and absolute deviation of discrete distributions . Ann. Math. Stat , 31 ( 4 ) : 78 – 85 .
  • Kumar , A. and Consul , P. C. 1979 . Negative moments of a modified power' series distributions . Commun. Statist. -Theor. Moth , A8 ( 2 ) : 151 – 166 .
  • Kumar , A. and Consul , P. C. 1980 . Minimum variance unbiased estimation for me»dified power series distribution . Commun. Statist. -Theor-. Meth , A9 ( 12 ) : 1261 – 1275 .
  • Ramasubban , T. A. 1958 . The mean difference and the mean deviation fo some discontinuous distributions . Biometrika , 45 ( 12 ) : 549 – 556 .
  • Romani , Jose . 1956 . Distribution de la suma algebraica de variables de Poisson . Trabajos de Estadistica , 7 ( 12 ) : 175 – 181 .
  • Skellam , J. G. 1946 . The frequency distribution of the difference between two Poisson variates belonging to different populations . Jour. Roy. Stat. Soc , 109 ( 12 ) : 296

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