Parameter estimation for generalized negative binomial distribution

@article{Famoye1997ParameterEF,
  title={Parameter estimation for generalized negative binomial distribution},
  author={F. Famoye},
  journal={Communications in Statistics - Simulation and Computation},
  year={1997},
  volume={26},
  pages={269-279}
}
  • F. Famoye
  • Published 1997
  • Mathematics
  • Communications in Statistics - Simulation and Computation
  • The generalized negative binomial distribution (GNBD) has been found useful in the problems of random walk, queuing theory and branching processes. In this paper, GNBD parameters are estimated by the methods of (a) maximum likelihood, (b) fist two moments and proportion of zeros, (c) fit two moments and ratio of the first two frequencies, and (d) minimum chi-square estimation. The asymptotic relative efficiencies for the estimation methods are derived and compared. It is found that the method… CONTINUE READING
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