Results 181 to 190 of about 8,903 (216)

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 0001, William Watkins   +1 more
openaire   +3 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 ...
Bronisław Ceranka, Krystyna Katulska
openaire   +2 more sources

D-optimal weighing designs with circular string property under SLS estimation

Communications in statistics. Simulation and computation, 2023
Spring balance weighing designs with a circular string property are considered in the context of second-order least squares estimation which is known to be better than ordinary least squares estimation when the error distribution is not symmetric ...
Abrar Z. Al-Sudani, R. M’Hallah, Shahariar Huda   +2 more
semanticscholar   +1 more source

ON THE ESTIMATION OF TOTAL WEIGHT IN SINGULAR SPRING BALANCE WEIGHING DESIGNS UNDER THE CO VARIANCE MATRIX OF ERRORS s 2 G

The Australian Journal of Statistics, 1989
K. Katulska
exaly   +2 more sources

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
openaire   +1 more source

Recent accomplishments in weighing designs

Communications in Statistics - Theory and Methods, 2019
The paper presents the results of research concerning on the estimation of individual weights of objects in spring balance weighing design. We consider D-optimal weighing design under assumption that the errors are uncorrelated and they have different ...
M. Graczyk, B. Ceranka
semanticscholar   +1 more source

Design and Implementation of a Portable Electronic Scale

2018 IEEE International Conference of Safety Produce Informatization (IICSPI), 2018
With the development of economy and society, the current spring balance or steelyard can’t be meet the needs of modern life. Design and implementation of a high precision intelligent portable electronic scale is very necessary with micro processing ...
Hualin Zhan, Zhou Ping, Xiangxiang Xiong
semanticscholar   +1 more source

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
openaire   +1 more source

Robustness optimal spring balance weighing designs for estimation total weight

Kybernetika, 2011
Summary: In this paper we develop the theory of spring balance weighing designs with non-positive correlated errors for that the lower bound of the variance of estimated total weight is attained.
Bronislaw Ceranka, Malgorzata Graczyk
openaire   +2 more sources

A-optimal biased spring balance weighing design

Kybernetika, 2011
Summary: In this paper we study the problem of estimation of individual measurements of objects in a biased spring balance weighing design under assumption that the errors are uncorrelated and they have different variances. The lower bound for the variance of each of the estimated measurements for this design and the necessary and sufficient conditions
openaire   +2 more sources