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Transfer function interpolation remainder formula of rational Krylov subspace methods
Rational Krylov subspace projection methods are one of successful method...
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The order of convergence of an optimal quadrature formula with derivative in the space W_2^(2,1)
The present work is devoted to extension of the trapezoidal rule in the ...
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Self-Learned Formula Synthesis in Set Theory
A reinforcement learning algorithm accomplishes the task of synthesizing...
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Introducing MathQA – A Math-Aware Question Answering System
We present an open source math-aware Question Answering System based on ...
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Superposition de calques monochromes d'opacités variables
For a monochrome layer x of opacity 0< o_x<1 placed on another monochro...
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Remarks on Bayesian Control Charts
There is a considerable amount of ongoing research on the use of Bayesia...
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Fine-Grained Decision-Theoretic Search Control
Decision-theoretic control of search has previously used as its basic un...
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Economic Design of Memory-Type Control Charts: The Fallacy of the Formula Proposed by Lorenzen and Vance (1986)
The memory-type control charts, such as EWMA and CUSUM, are powerful tools for detecting small quality changes in univariate and multivariate processes. Many papers on economic design of these control charts use the formula proposed by Lorenzen and Vance (1986) [Lorenzen, T. J., & Vance, L. C. (1986). The economic design of control charts: A unified approach. Technometrics, 28(1), 3-10, DOI: 10.2307/1269598]. This paper shows that this formula is not correct for memory-type control charts and its values can significantly deviate from the original values even if the ARL values used in this formula are accurately computed. Consequently, the use of this formula can result in charts that are not economically optimal. The formula is corrected for memory-type control charts, but unfortunately the modified formula is not a helpful tool from a computational perspective. We show that simulation-based optimization is a possible alternative method.
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