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The Construction of the Uniformly Minimum Variance Unbiased Estimator

The Construction of the Uniformly Minimum Variance Unbiased Estimator
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On Minimum Variance Unbiased Estimators

The American Statistician, 1985
Abstract The problem of finding minimum variance unbiased estimators of various parameters for parametric distributions is an important one in statistics. This article gives analytical formulas for the minimum variance unbiased estimators of parametric functions, which are usually used in a classroom, for two types of densities.
K. X. Karakostas
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Locally minimum variance unbiased estimator in a discontinuous density function

Metrika, 1987
Let \(X_ 1,...,X_ n\) be iid random variables with the following density function w.r.t. the Lebesgue measure \[ f(x;\theta) = \begin{cases} p \qquad &\text{for \(0\leq x\leq \theta\) and \(\theta +1\leq x\leq 2,\)} \\ q &\text{for \(\theta
M. Akahira, Kenji Takeuchi
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Uniform Minimum Variance Unbiased Estimators (UMVUEs)

2020
In questo capitolo vengono proposti esercizi sugli stimatori ottimi non distorti – Uniform Minimum Variance Unbiased Estimators (UMVUE) a partire da un modello di campionamento casuale parametrico , in particolare: definizione e proprieta degli UMVUE; metodi per la ricerca degli UMVUE; legame tra UMVUE e statistiche sufficienti minimali e complete ...
Francesca Gasperoni, Francesca Ieva, Anna Maria Paganoni   +2 more
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Corrections: On Minimum Variance Unbiased Estimators

The American Statistician, 1986

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Minimum Variance Linear Unbiased Estimators

2013
We give definitions and examples of the best (in the sense of minimum variance) unbiased estimators of the location and scale parameters, based on linear combinations of order statistics.
Mohammad Ahsanullah, Valery Nevzorov, Mohammad Shakil   +2 more
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Minimum Variance Unbiased Estimation in the Gamma Distribution

Communications in Statistics - Simulation and Computation, 1975
In this paper a new infinite series UMVU etimator far general functions of the scale parameter in the gamma distribution wita shape parameter known is presented. The formula gives is easy to employ,and also leads to simple approximations to the UMVU. These approximations are shown to perform well is the examples considered.
Woodward, W. A., Gray, H. L.
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A Note on Minimum Variance Unbiased Estimation

Communications in Statistics - Theory and Methods, 2010
The process of Rao–Blackwellization involves specification of a naive unbiased estimator of τ(θ) and then determination of its conditional expectation given a complete and sufficient statistic T for θ. This leads to the minimum variance unbiased estimator (MVUE) U ≡ U(T) for τ(θ).
Nitis Mukhopadhyay, Debanjan Bhattacharjee   +1 more
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Some Easily Found Minimum Variance Unbiased Estimators

The American Statistician, 1978
Abstract Several methods are available for finding minimum variance unbiased estimators for functions of distribution parameters. This paper concentrates on two which are rarely used but simple when applicable. The first, previously discussed by Davis (1951) and Tate (1959), yields estimators by differentiation when the range of nonzero probability for
William C. Guenther
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Minimum Variance Unbiased Estimation of Software Reliability

Probability in the Engineering and Informational Sciences, 1989
As the formal methods of proving correctness of a computer program are still very inadequate, in practice when a new piece of software is developed and all obvious errors are removed, it is tested with different (random) inputs in order to detect the remaining errors and assess its quality.
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