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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   +2 more
semanticscholar   +1 more source

Optimum biased spring balance weighing designs

Statistics & Probability Letters, 1989
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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
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

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
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ceranka, B., Katulska, K.
openaire   +1 more source

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   +2 more
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Constructions of optimum biased spring balance weighing designs with the diagonal covariance matrix of errors

Computational Statistics & Data Analysis, 1990
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ceranka, B., Katulska, K.
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Advances in Chemical and Spring Balance Weighing Designs: A systematic review

This paper deals with the review of the literature on Chemical and Spring Balance Weighing Designs. The Weighing problems were initially originated by Yates and after that Hotelling, who led to a precise formulation of the Weighing problem. Eventually, with the passage of time, this problem expanded to form a branch of Design of Experiment.
Awad Rashmi, Chouhan Ashwini
openaire   +1 more source

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