Minimum Variance Unbiased Estimation in a Bivariate Modified Power Series Distribution | Zendy

Shoukri M. M. | Zendy

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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.

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