For j = 4 and j = 5 and all d j, the maximum value of detXX , where X runs through all j d (0,1)-matrices, is determined along with a matrix X0 for which the maximum determinant is attained. In the theory of statistical designs, X0 is called a D-optimal design matrix. Design matrices that were previously thought to be D-optimal, are shown here to be D-optimal.

An optimal realization of a metric d on a set X is a weighted graph G = (V, E, w) such that X ⊆ V , dG(x, y) = d(x, y) for all x ∈ X, and ∑ e∈E w(e) is minimal. In this paper, we consider the conjecture that any finite metric (X, d) has some optimal realization obtainable as a subgraph of its tight span. For an extremal optimal realization G, defined as an optimal realizations for which the num...

An A-optimal minimax design criterion is proposed to construct fractional factorial designs, which extends the study of the D-optimal minimax design criterion in Lin and Zhou (Canadian Journal of Statistics 41, 325–340, 2013). The resulting Aoptimal and D-optimal minimax designs minimize, respectively, the maximum trace and determinant of the mean squared error matrix of the least squares estim...

Supersaturated design (SSD) has received much interest because of its potential in factor screening experiments. Recently, Chen and Liu [Chen, J., Liu, M.Q., 2008a. Optimal mixedlevel k-circulant supersaturated designs. J. Statist. Plann. Inference 138, 4151–4157] explored the construction of E(fNOD )-optimalmixed-level SSDs using k-cyclic generators. As an extension, this paper further studies...

Algorithms for optimal reduced-order dynamic output feedback control of linear discrete-time systems with white stochastic parameters are U-D factored in this paper. U-D factorisation enhances computational accuracy, stability and possibly efficiency. Since U-D factorisation of algorithms for optimal full-order output feedback controller design was recently published by us, this paper focusses ...

In this study we discuss integer-valued designs for wavelet estimation of nonparametric response curves in the possible presence of heteroscedastic noise based on a modi ̄ed wavelet version of the Gasser-MÄ uller kernel estimator and weighted least squares estimation. The Gasser-MÄ uller estimator was modi ̄ed in order to obtain an exact expression for the bias of the estimator. We ̄rst use data s...

Emissions of greenhouse gases into the atmosphere, in particular, carbon dioxide (CO2), are an urgent environmental problem. Today, technology capture and storage (CCS) oil reservoirs is proposed as a solution to this This can not only assist with decarbonization near-Earth space, but also contributes increase recovery. Since CO2 part that accompany production, release associated petroleum unac...

This paper presents a versatile and robust algorithm for the optimal design of adjacent structural systems linked by passive energy dissipation devices. The algorithm works both with stationary and nonstationary force input. It is a two-stage design procedure that (i) determines an active control law, and then (ii) adds damper and stiffness coefficients that are computed based on the minimizati...