Minimum Variance Unbiased Estimation for the Lagrange Power Series Distributions

P. C. Consul, F. Famoye

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


It is shown that the modified power series distribution (MPSD) [Gupta, 1974], the Lagrange probability distribution (LPD) [Consul and Shenton, 1972], the Lagrange power series distribution (LPSD) [Jain, 1975] and the discrete exponential family (DEF) distribution [Janardan, 1982) represent the same probability model. A theorem on the MVU estimation of a function 1(0) of the parameter 6 in the LPSD is stated with the nccessary conditions. The theorem is then applied to derive the MVU estimators for the mean, square of the mean and the variance of the generalized Poisson distribution, generalized negative binomial distribution and some other related distributions.

Original languageEnglish
Pages (from-to)407-415
Number of pages9
Issue number3
StatePublished - Jan 1 1989


  • Lagrange power series distributions
  • MVU estimable
  • Minimum variance unbiased estimator


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