Results 211 to 220 of about 11,442,456 (253)

On Certain D-Optimal Spring Balance Weighing Designs

Journal of Statistical Theory and Practice, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
K. Katulska, K. Przybył
exaly   +4 more sources

Optimum biased spring balance weighing designs

Statistics and Probability Letters, 1989
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
K. Katulska
exaly   +3 more sources

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 ...
Małgorzata Graczyk
exaly   +3 more sources

Application of the Biased Spring Balance Weighing Design Theory to Estimation of Differences of Line Effects for Legume Content

Biometrical Journal, 1989
AbstractThe incidence matrix of a BIB design for v treatments has been used to construct a biased spring balance weighing design. Conditions under which an optimum biased spring balance weighing design exists are given. It is also shown how this theory may be utilized to obtain treatment and experiment designs to estimate differences in legume content ...
B. Ceranka, K. Katulska
exaly   +3 more sources

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.
M. N. Swamy
exaly   +3 more sources

Constructions of optimum biased spring balance weighing designs with the diagonal covariance matrix of errors

Computational Statistics and Data Analysis, 1990
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bronisław Ceranka
exaly   +4 more sources

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 ...
K. S. Banerjee
semanticscholar   +2 more sources

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+
Michael G Neubauer, William Watkins
exaly   +2 more sources

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.
exaly   +2 more sources

Relations between Spring and Chemical Balance Weighing Designs with the Diagonal Covariance Matrix of Errors

, 1995
The paper deals with the problem of estimating the individual weights of objects with minimum variances by using a weighing design with the diagonal covariance matrix of errors in the model. The necessary and sufficient conditions for optimum biased spring balance weighing designs with the diagonal covariance matrix of errors and for optimum chemical ...
B. Ceranka, K. Katulska
semanticscholar   +2 more sources