Some Easily Found Minimum Variance Unbiased Estimators

1978 ◽  
Vol 32 (1) ◽  
pp. 29 ◽  
Author(s):  
William C. Guenther
Keyword(s):  
Minimum Variance ◽  
Unbiased Estimators

Minimum Variance Unbiased Estimation of Reliability and its Variance in Exponential Life Model Under Censorings

1987 ◽  
Vol 36 (3-4) ◽  
pp. 185-188
Author(s):  
P. N. Jani
Keyword(s):  
Minimum Variance ◽  
Unbiased Estimation ◽  
Easy Method ◽  
Unbiased Estimators ◽  
Life Model

Using the approach of Roy and Mitra (1957), Jani (1984) has given an easy method for finding the uniformly minimum variance unbiased estimators (UMVUEs) of reliability and its variance in exponential life model. We extend these results under Type 1 and Type 2 censorings.

On Minimum Variance Unbiased Estimators

1985 ◽  
Vol 39 (4) ◽  
pp. 303 ◽  
Author(s):  
K. X. Karakostas
Keyword(s):  
Minimum Variance ◽  
Unbiased Estimators

scholarly journals Complete and sufficient statistics and perfect families in orthogonal and error orthogonal normal models

2015 ◽  
Vol 13 (1) ◽  
Author(s):  
Aníbal Areia ◽  
Francisco Carvalho ◽  
João T. Mexia
Keyword(s):  
Jordan Algebra ◽  
Algebraic Structure ◽  
Minimum Variance ◽  
Jordan Algebras ◽  
Symmetric Matrices ◽  
Sufficient Statistics ◽  
Unbiased Estimators

AbstractWe will discuss orthogonal models and error orthogonal models and their algebraic structure, using as background, commutative Jordan algebras. The role of perfect families of symmetric matrices will be emphasized, since they will play an important part in the construction of the estimators for the relevant parameters. Perfect families of symmetric matrices form a basis for the commutative Jordan algebra they generate. When normality is assumed, these perfect families of symmetric matrices will ensure that the models have complete and sufficient statistics. This will lead to uniformly minimum variance unbiased estimators for the relevant parameters.

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