Minimum Variance Unbiased Estimation for the Lagrange Power Series Distributions

P. C. Consul, F. Famoye

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

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
JournalStatistics
Volume20
Issue number3
DOIs
StatePublished - Jan 1 1989

Keywords

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

Fingerprint

Dive into the research topics of 'Minimum Variance Unbiased Estimation for the Lagrange Power Series Distributions'. Together they form a unique fingerprint.

Cite this