
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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SelfLearned Formula Synthesis in Set Theory
A reinforcement learning algorithm accomplishes the task of synthesizing...
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Introducing MathQA – A MathAware Question Answering System
We present an open source mathaware 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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FineGrained DecisionTheoretic Search Control
Decisiontheoretic control of search has previously used as its basic un...
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Economic Design of MemoryType Control Charts: The Fallacy of the Formula Proposed by Lorenzen and Vance (1986)
The memorytype 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), 310, DOI: 10.2307/1269598]. This paper shows that this formula is not correct for memorytype 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 memorytype control charts, but unfortunately the modified formula is not a helpful tool from a computational perspective. We show that simulationbased optimization is a possible alternative method.
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