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Search Publications by: Andrew L Rukhin (Fed)

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Displaying 51 - 75 of 112

Conservative Confidence Ellipsoids for Linear Model Parameters

December 1, 2009
Author(s)
Andrew L. Rukhin
This paper studies properties of conservative confidence ellipsoids for parameters of a general linear model. These regions are obtained on the basis of a linear estimator when only a vague knowledge of (heterogeneous) error variances is available. The

A Statistic That Identifies Errant Standard Preparation and Instrument Non-linearity Demonstrated With Mercury Standards Prepared by Blending NIST Fossil Fuel CRMs of Similar Matrices

November 16, 2009
Author(s)
Bruce S. MacDonald, John L. Molloy, Stefan D. Leigh, William R. Kelly, Andrew L. Rukhin
Interval-repeatability (Ir) is a statistic that users of certified reference materials (CRMs) may employ as a quality control check to identify incorrectly prepared working standards or nonlinear instrument response over a targeted concentration interval

Weighted Means Statistics in Interlaboratory Studies

May 6, 2009
Author(s)
Andrew L. Rukhin
The usefulness of weighted means statistics as a consensus mean estimator in collaborative studies is discussed. A random effects model designed to combine information from several sourcesis employed to justify their appeal to metrologists. Some methods of

Identities for Negative Moments of Quadratic Forms in Normal Variables

April 15, 2009
Author(s)
Andrew L. Rukhin
Two formulae for the central inverse moments of a Quadratic form in normal variables and of the ratio forms are established. They relate the quadratic form determined by a positive definite matrix to that defined by the inverse matrix.

Report on Acceleration Comparison SIM.AUV.V-K1 - Draft B

March 20, 2009
Author(s)
David J. Evans, Adriana Hornikova, Stefan D. Leigh, Andrew L. Rukhin, William E. Strawderman
The first regional key comparison in vibration conducted under the auspices of the Inter-American System of Metrology (SIM) was begun in 1996. The comparison was registered with the International Bureau of Weights and Measures (BIPM) through the

Three Statistical Paradigms for the Assessment and Interpretation of Measurement Uncertainty

January 12, 2009
Author(s)
William F. Guthrie, Hung-Kung Liu, Andrew L. Rukhin, Blaza Toman, Chih-Ming Wang, Nien F. Zhang
The goals of this chapter are to present different approaches to uncertainty assessment from a statistical point of view and to relate them to the methods that are currently being used in metrology or are being developed within the metrology community. The

Testing Randomness via Aperiodic Words

November 11, 2008
Author(s)
Andrew L. Rukhin, Z Volkovich
The properties of statistical procedures based on numbers of occurrences of aperiodic patterns in a random text are summarized. The asymptotic formulas for the expected value of the number of aperiodic words occurring a given number of times, and for the

Estimation and Testing for the Common Intersection Point

August 22, 2007
Author(s)
Andrew L. Rukhin
The problem of estimating a common intersection point from a collection of straight lines and of testing the hypothesis that such a point exists are considered. The relationship to the error-in-variables regression and to the intersection-union principle