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Remarks on a Multivariate Transformation

Murray Rosenblatt
- 01 Sep 1952 - 
- Vol. 23, Iss: 3, pp 470-472
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This article is published in Annals of Mathematical Statistics.The article was published on 1952-09-01 and is currently open access. It has received 2735 citations till now. The article focuses on the topics: Transformation (function).

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Reliability-Based Design Optimization for Shape Design of Compliant Micro-Electro-Mechanical Systems.

TL;DR: In this paper, RBDO methods are compared and their effectiveness demonstrated by application to design optimization of microelectromechanical systems (MEMS), devices for which uncertainties in material properties and geometry affect performance and reliability.
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EMCS-SVR: Hybrid efficient and accurate enhanced simulation approach coupled with adaptive SVR for structural reliability analysis

TL;DR: In this article , a novel dynamical adaptive enhanced simulation method coupled with support vector regression (SVR) is proposed for structural reliability analysis, robust and efficient sampling methods that address low failure probabilities are vital challenges.
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A confidence-based reliability optimization with single loop strategy and second-order reliability method

TL;DR: A complete performance measure approach (PMA) with single-loop strategy is proposed in this paper and performance measure value is applied in the whole optimization process and the uncertainty of statistical model caused by the insufficient data is taken into consideration.
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Reduction of Ordering Effect in Reliability-Based Design Optimization Using Dimension Reduction Method

TL;DR: In this article, a copula is proposed to model the joint cumulative distribution function using marginal cumulative distribution functions and correlation parameters obtained from samples, and the transformation and the first-order reliability method can be carried out using the copula.
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Measuring Output Gap Nowcast Uncertainty

TL;DR: This article proposed a methodology to estimate the uncertainty in output gap nowcasts across a large number of commonly deployed vector autoregressions in US inflation and various measures of the output gap.