Results 211 to 220 of about 104,410 (226)

E-optimal Spring Balance Weighing Designs for $n \equiv -1\ (\mod4)$ Objects

SIAM Journal on Matrix Analysis and Applications, 2002
Summary: Let \(n \equiv -1\pmod 4\) be a positive integer with \(n \geq 7\) and let \(M_{m,n}(0,1)\) be the set of all \(m\times n\) \((0,1)\)-matrices. Let \(E(m,n)\) be the largest minimum eigenvalue for a matrix \(X^TX\) with \(X \in M_{m,n}(0,1)\). Let \(m=nt+r\), where \(0 \leq r < n\). We show that for \(r\neq n-4\), \[ E(nt+r,n)\leq\left(\frac{n+
Neubauer, Michael G., Watkins, William
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Optimum Biased Spring Balance Weighing Designs Under Equal Correlations of Errors

Biometrical Journal, 1990
AbstractThe paper deals with the problem of estimating the individual weights of objects under a biased spring balance weighing design with equal correlations of errors in the model. A lower bound for the variance of each of the estimated weights resulting from this biased spring balance weighing design is obtained and a necessary and sufficient ...
B. Ceranka, K. Katulska
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Relations between optimum biased spring balance weighing designs and optimum chemical balance weighing designs with non-homogeneity of the variances of errors

Lithuanian Mathematical Journal, 1994
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Ceranka, B., Katulska, K.
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Some observations on repeated spring balance weighing designs

Annals of the Institute of Statistical Mathematics, 1974
Dey [3] has suggested a spring balance weighing design in preference to “repeated designs”, and later, Kulshreshtha and Dey [5] have suggested yet one more weighing design which, they say, would be preferred to “repeated designs” and to those suggested in [3], provided one is interested in estimating the weights of some of the objects with increased ...
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Notes about A-optimal spring balance weighing design

Journal of Statistical Planning and Inference, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Approximate E-optimal designs for the model of spring balance weighing with a constant bias

Journal of Statistical Planning and Inference, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Filová, Lenka, Harman, Radoslav, Klein, Thomas   +2 more
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A-Optimal Spring Balance Weighing Designs Under Some Conditions

Communications in Statistics - Theory and Methods, 2012
In this article, the estimation problem of individual weights of objects in spring balance weighing design using the criterion of A-optimality is discussed. It is assumed that the measurement errors have different variances. The lowest bound of the trace of the dispersion matrix is obtained and the conditions when this lowest bound is achieved are ...
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Optimum spring balance weighing designs for estimating the total weight

Communications in Statistics - Theory and Methods, 1980
The problem of estimation of the total weight or objects using a spring balance weighing design has been deait with in this paper Based on a theorem by Dey and Gupta (1977) giving a lower bound for the variance of the estimated total weight, a necessary and sufficient condition for this lower bound to be attained is obtained.
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Constructions of optimum biased spring balance weighing designs with the diagonal covariance matrix of errors

Computational Statistics & Data Analysis, 1990
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Ceranka, B., Katulska, K.
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OPTIMUM SINGULAR SPRING BALANCE WEIGHING DESIGNS WITH NON‐HOMOGENEITY OF THE VARIANCES OF ERRORS FOR ESTIMATING THE TOTAL WEIGHT

Australian Journal of Statistics, 1986
The problem of estimation of the total weight of objects using a singular spring balance weighing design with non‐homogeneity of the variances of errors has been dealt with in this paper. Based on a theorem by Katulska (1984) giving a lower bound for the variance of the estimated total weight, a necessary and sufficient condition for this lower bound ...
Ceranka, B., Katulska, K.
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