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Minimum Variance Unbiased Estimation in a Bivariate Modified Power Series Distribution
Author(s) -
Shoukri M. M.
Publication year - 1982
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.4710240111
Subject(s) - mathematics , minimum variance unbiased estimator , bivariate analysis , statistics , series (stratigraphy) , estimator , u statistic , bias of an estimator , efficient estimator , variance (accounting) , unbiased estimation , univariate , econometrics , multivariate statistics , paleontology , accounting , business , biology
The functional form of the class of Bivariate Modified Power Series Distributions is considered. The probabilities are functions of two unknown parameters ϑ 1 and ϑ 2. The necessary and sufficient conditions for the existence of a minimum variance unbiased estimator for a parametric function of ϑ 1 and ϑ 2 are given.