Sign-perturbed sums approach for data treatment of dynamic fracture tests

机译：符号摄动和法用于动态断裂试验的数据处理

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The Sign-Perturbed Sums (SPS) randomized algorithm is adapted to the procedure of data treatment of dynamic fracture tests. The original method is modified and applied for nonlinear regression function describing the strain rate dependence of material strength at the framework of structure-temporal approach. Ordinary there are few observation points of goal parameter with random noises with unknown statistical distribution, hence this stipulates the choice of SPS-algorithm for this problem. It is proved that SPS-procedure permits to define confidence intervals for dynamic strength parameter τ with proper accuracy in this case. The applicability of this method is demonstrated on example of experimental data treatment of dynamic fracture of a concrete.

机译：符号扰动和（SPS）随机算法适用于动态裂缝测试的数据处理过程。对原始方法进行了修改，并将其应用于描述结构时态方法框架下材料强度的应变率依赖性的非线性回归函数。通常，具有随机噪声且统计分布未知的目标参数的观测点很少，因此这为该问题规定了SPS算法的选择。事实证明，在这种情况下，SPS程序可以为动态强度参数τ定义置信区间。在混凝土动力断裂试验数据处理实例中证明了该方法的适用性。

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《IEEE Annual Conference on Decision and Control》|2017年|1652-1656|共5页
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Marina Volkova; Grigory Volkov; Oleg Granichin; Yuri Petrov;
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Stress; Concrete; Mathematical model; Estimation; Data models; Shape; Heuristic algorithms;

机译：应力;混凝土;数学模型;估计;数据模型;形状;启发式算法;

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专利

1. On the Possibility of Using the Method of Sign-Perturbed Sums for the Processing of Dynamic Test Data [J] . M. V. Volkova, O. N. Granichin, G. A. Volkov, Vestnik, St. Petersburg University. Mathematics . 2018,第1期

机译：关于使用用于处理动态测试数据的签名和扰动的方法的可能性
2. Design of Improved Intertrochanteric Fracture Treatment (DRIFT) Study: Protocol for Biomechanical Testing and Finite Element Analysis of Stable and Unstable Intertrochanteric Fractures Treated With Intramedullary Nailing or Dynamic Compression Screw [J] . Andreas Panagopoulos, Georgios Kyriakopoulos, Georgios Anastopoulos, JMIR Research Protocols . 2019,第7期

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3. A controlled single case study with repeated fMRI measurements during the treatment of a patient with obsessive-compulsive disorder: testing the nonlinear dynamics approach to psychotherapy. [J] . Schiepek G, Tominschek I, Karch S, The world journal of biological psychiatry: the official journal of the World Federation of Societies of Biological Psychiatry . 2009,第4aS2期

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4. Sign-Perturbed Sums Approach for Data Treatment of Dynamic Fracture Tests [C] . Marina Volkova, Grigory Volkov, Oleg Granichin, IEEE Annual Conference on Decision and Control . 2017

机译：动态断裂试验数据处理的签署扰动的总和方法
5. The comparative power of the independent-samples t-test and Wilcoxon Rank Sum test in non-normal distributions of real data sets in education and psychology [D] . Bridge, Patrick David. 1996

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6. When to Start Treatment? A Systematic Approach to the Comparison of Dynamic Regimes Using Observational Data [O] . Lauren E. Cain, James M. Robins, Emilie Lanoy, -1

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7. On the possibility of sign-perturbed sums method application for the processing of dynamic tests data [O] . Marina V. Volkova, Oleg N. Granichin, Grigorii A. Volkov, 2018

机译：关于签名扰动的可能性，用于处理动态测试数据的应用
8. A Combined Least Sums and Least Squares Approach to the Evaluation of Thermodynamic Data Networks. [R] . garvin, d. parker, v. b. 1977

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Sign-perturbed sums approach for data treatment of dynamic fracture tests

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