Estimation of the Variance Between Units of Given Size from Experimental Data

Article Abstract:

Between units variance is estimated to provide the determination of optimum unit size. A randomization model is used to yield the experimental units without assumptions. Explicit formulae are derived for completely randomized, randomized block, and balanced incomplete block designs.

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Unbiased Statistical Estimation Functions for Parameters in Presence of Nuisance Parameters

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The Cramer-Rad inequality theorem is extended to consider the problem of estimating a vector interesting parameter in the presence of nuisance parameters. Matrix standardization and optimization is achieved. A minimum variance concept is introduced.

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Large Sample Theory of the Langevin Distribution

Article Abstract:

New methods are presented for fixed concentrations and large samples. An asymptotic equivalency is developed for likelihood ratio statistics. A geometric form is presented for ease in explanation.

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