Academic literature on the topic 'Scaled t–distribution'

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Journal articles on the topic "Scaled t–distribution"

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Huang, Hening. "A minimum entropy criterion for distribution selection for measurement uncertainty analysis." Measurement Science and Technology 35, no. 3 (2023): 035014. http://dx.doi.org/10.1088/1361-6501/ad1476.

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Abstract This paper presents a minimum entropy criterion for selecting the best probability distribution among a set of candidate distributions based on available information for measurement uncertainty analysis. We consider two cases that are most commonly encountered in practice: A and B. In Case A, the available information is a series of observations. In Case B, the available information is the maximum permissible error according to manufacturer’s specification. Three candidate distributions are considered in Case A: the scaled and shifted z-distribution (i.e. normal distribution), the sca
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Gordy, Michael B. "Finite-Dimensional Distributions of a Square-Root Diffusion." Journal of Applied Probability 51, no. 04 (2014): 930–42. http://dx.doi.org/10.1017/s002190020001189x.

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We derive multivariate moment generating functions for the conditional and stationary distributions of a discrete sample path of n observations of a square-root diffusion (CIR) process, X(t). For any fixed vector of observation times t 1,…,t n , we find the conditional joint distribution of (X(t 1),…,X(t n )) is a multivariate noncentral chi-squared distribution and the stationary joint distribution is a Krishnamoorthy-Parthasarathy multivariate gamma distribution. Multivariate cumulants of the stationary distribution have a simple and computationally tractable expression. We also obtain the m
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Kiriya, Ilya, and Christoph Kopp. "Series representation of time-stable stochastic processes." Probability and Mathematical Statistics 38, no. 2 (2018): 299–315. http://dx.doi.org/10.19195/0208-4147.38.2.4.

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A stochastically continuous process ξt, t≥­0, is said to be time-stable if the sum of n i.i.d. copies of ξ equals in distribution the time-scaled stochastic process ξnt, t≥0. The paper advances the understanding of time-stable processes by means of their LePage series representations as the sum of i.i.d. processes with the arguments scaled by the sequence of successive points of the unit intensity Poisson process on [0;∞. These series yield numerous examples of stochastic processes that share one-dimensional distributions with a Lévy process.
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Gordy, Michael B. "Finite-Dimensional Distributions of a Square-Root Diffusion." Journal of Applied Probability 51, no. 4 (2014): 930–42. http://dx.doi.org/10.1239/jap/1421763319.

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We derive multivariate moment generating functions for the conditional and stationary distributions of a discrete sample path of n observations of a square-root diffusion (CIR) process, X(t). For any fixed vector of observation times t1,…,tn, we find the conditional joint distribution of (X(t1),…,X(tn)) is a multivariate noncentral chi-squared distribution and the stationary joint distribution is a Krishnamoorthy-Parthasarathy multivariate gamma distribution. Multivariate cumulants of the stationary distribution have a simple and computationally tractable expression. We also obtain the moment
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Brun, Marte Beheim, Andrei Shpak, and Stefan Jacobsen. "Shape and Size of Particles Scaled from Concrete Surfaces during Salt Frost Testing and Rapid Freeze/thaw in Water." Nordic Concrete Research 64, no. 1 (2021): 53–68. http://dx.doi.org/10.2478/ncr-2021-0001.

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Abstract Thickness (T), Length (L), Width (W) and size distribution of scaled concrete particles in frost testing were measured. T (mm) increases with particle size surprisingly similarly for different concrete qualities and frost test methods. 2T/(L+W) reduces as function of size and is lowest for the largest particles of the salt scaling test: 0.1 – 0.15 but increases if large aggregate particles scale. Particle size distributions from salt frost testing peak for particles of 1-2 mm. The particles are flakier compared to particles from freeze/thaw in water which also have flatter size distri
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Li, Yuqiang. "On a Continuous-State Population-Size-Dependent Branching Process and Its Extinction." Journal of Applied Probability 43, no. 01 (2006): 195–207. http://dx.doi.org/10.1017/s0021900200001467.

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A continuous-state population-size-dependent branching process {X t } is a modification of the Jiřina process. We prove that such a process arises as the limit of a sequence of suitably scaled population-size-dependent branching processes with discrete states. The extinction problem for the population X t is discussed, and the limit distribution of X t / t obtained when X t tends to infinity.
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Plog, J. P., W. M. Kulicke, and C. Clasen. "Influence of the Molar Mass Distribution on the Elongational Behaviour of Polymer Solutions in Capillary Breakup." Applied Rheology 15, no. 1 (2005): 28–37. http://dx.doi.org/10.1515/arh-2005-0002.

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AbstractCommercially available, blended methylhydroxyethyl celluloses with similar weight-average molar masses but varying molar mass distributions were characterized by different techniques like steady shear flow and uniaxial elongation in capillary breakup experiments. The determined relaxation times t were then correlated with the absolute molar mass distribution acquired via SEC/MALLS/DRI (combined methods of size-exclusion-chromatography, multi angle laser light scattering and differential refractometer). In order to describe the longest relaxation time of the polymers in uniaxial elongat
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Orlando, Giuseppe, and Michele Bufalo. "Empirical Evidences on the Interconnectedness between Sampling and Asset Returns’ Distributions." Risks 9, no. 5 (2021): 88. http://dx.doi.org/10.3390/risks9050088.

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The aim of this work was to test how returns are distributed across multiple asset classes, markets and sampling frequency. We examine returns of swaps, equity and bond indices as well as the rescaling by their volatilities over different horizons (since inception to Q2-2020). Contrarily to some literature, we find that the realized distributions of logarithmic returns, scaled or not by the standard deviations, are skewed and that they may be better fitted by t-skew distributions. Our finding holds true across asset classes, maturity and developed and developing markets. This may explain why m
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Chandrasekara, Vasana, Chandima Tilakaratne, and Musa Mammadov. "An Improved Probabilistic Neural Network Model for Directional Prediction of a Stock Market Index." Applied Sciences 9, no. 24 (2019): 5334. http://dx.doi.org/10.3390/app9245334.

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Financial market prediction attracts immense interest among researchers nowadays due to rapid increase in the investments of financial markets in the last few decades. The stock market is one of the leading financial markets due to importance and interest of many stakeholders. With the development of machine learning techniques, the financial industry thrived with the enhancement of the forecasting ability. Probabilistic neural network (PNN) is a promising machine learning technique which can be used to forecast financial markets with a higher accuracy. A major limitation of PNN is the assumpt
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Abate, Joseph, and Ward Whitt. "Limits and Approximations for the Busy-Period Distribution in Single-Server Queues." Probability in the Engineering and Informational Sciences 9, no. 4 (1995): 581–602. http://dx.doi.org/10.1017/s0269964800004071.

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Limit theorems are established and relatively simple closed-form approximations are developed for the busy-period distribution in single-server queues. For the M/G/l queue, the complementary busy-period c.d.f. is shown to be asymptotically equivalent as t → ∞ to a scaled version of the heavy-traffic limit (obtained as p → 1), where the scaling parameters are based on the asymptotics as t → ∞. We call this the asymptotic normal approximation, because it involves the standard normal c.d.f. and density. The asymptotic normal approximation is asymptotically correct as t → ∞ for each fixed p and as
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Dissertations / Theses on the topic "Scaled t–distribution"

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Berger, Daniel [Verfasser], Alan T. [Gutachter] Huckleberry, and Peter [Gutachter] Heinzner. "Limiting distributions of scaled eigensections in a GIT-setting / Daniel Berger ; Gutachter: Alan T. Huckleberry, Peter Heinzner ; Fakultät für Mathematik." Bochum : Ruhr-Universität Bochum, 2015. http://d-nb.info/1201554195/34.

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Taylor, Julian. "Scale parameter modelling of the t-distribution." 2005. http://hdl.handle.net/2440/37745.

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This thesis considers location and scale parameter modelling of the heteroscedastic t-distribution. This new distribution is an extension of the heteroscedastic Gaussian and provides robust analysis in the presence of outliers as well accommodates possible heteroscedasticity by flexibly modelling the scale parameter using covariates existing in the data. To motivate components of work in this thesis the Gaussian linear mixed model is reviewed. The mixed model equations are derived for the location fixed and random effects and this model is then used to introduce Restricted Maximum Likelihood (
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Domingues, Tiago Dias. "Finite Mixture Models based on Scale Mixtures of Skew-Normal distributions applied to serological data." Doctoral thesis, 2021. http://hdl.handle.net/10451/51921.

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Serological data can be described as a mixture of distributions, with each mixture component representing a serological population (e.g. seronegative and seropositive population). In seroepidemiological studies of infectious diseases, mixture models with Normal distribution are mostly used, which implies that the components that make up the mixture are approximately symmetric. However, it has been observed that, especially in seropositive populations, it is possible to observe skewness to the left, leading to the violation of the assumption of normality underlying the data. Thus, and in order
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Books on the topic "Scaled t–distribution"

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Deruelle, Nathalie, and Jean-Philippe Uzan. Cosmological spacetimes. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198786399.003.0057.

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This chapter provides a few examples of representations of the universe on a large scale—a first step in constructing a cosmological model. It first discusses the Copernican principle, which is an approximation/hypothesis about the matter distribution in the observable universe. The chapter then turns to the cosmological principle—a hypothesis about the geometry of the Riemannian spacetime representing the universe, which is assumed to be foliated by 3-spaces labeled by a cosmic time t which are homogeneous and isotropic, that is, ‘maximally symmetric’. After a discussion on maximally symmetri
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Book chapters on the topic "Scaled t–distribution"

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Tomarchio, Salvatore D. "On Parsimonious Modelling via Matrix-Variate t Mixtures." In Studies in Classification, Data Analysis, and Knowledge Organization. Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-09034-9_42.

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AbstractMixture models for matrix-variate data have becoming more and more popular in the most recent years. One issue of these models is the potentially high number of parameters. To address this concern, parsimonious mixtures of matrixvariate normal distributions have been recently introduced in the literature. However, when data contains groups of observations with longer-than-normal tails or atypical observations, the use of the matrix-variate normal distribution for the mixture components may affect the fitting of the resulting model. Therefore, we consider a more robust approach based on
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Neuhäuser, Ralph, and Michael F. Sterzik. "Large Scale Distribution of T Tauri Stars as Observed with the ROSAT X-ray Survey." In Astrophysics and Space Science Library. Springer Netherlands, 1997. http://dx.doi.org/10.1007/978-94-011-5784-1_25.

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Lemos, Daniela, Ana Cristina Braga, and Rosete Nogueira. "Nonlinear Regression on Growth Curves for Placental Parameters in R." In Communications in Computer and Information Science. Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-53025-8_39.

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AbstractGrowth charts play a crucial role in the evaluation and surveillance of paediatric populations, serving as indispensable tools for paediatricians and public health researchers. The development of these growth charts for fetal parameters has been extensively used in recent decades. However, investigation of placental parameters and their relationship with obstetric outcome has been relatively neglected, resulting in a significant gap in understanding their biological significance. This study presents an alternative approach for constructing reference growth curves specific to the placen
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Navarro, Danielle, and David Foxcroft. "11. Comparing two means." In Learning Statistics with jamovi. Open Book Publishers, 2025. https://doi.org/10.11647/obp.0333.11.

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In this chapter, we delve into the statistical techniques used to compare the means of two groups, particularly when the outcome variable is on an interval or ratio scale, and the predictor variable is binary. Such scenarios are prevalent in real-world applications across diverse fields like psychology, medicine, and agriculture. The primary focus is on the application of various forms of the t-test, including the one-sample, independent samples (Student and Welch), and paired-samples t-tests. These methods allow researchers to test hypotheses regarding mean differences between groups while co
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PINEDA-PRADO, Daniel Alejandro, and Jaqueline MARMOLEJO-QUINTANAR. "Prototipo de modulo para saneamiento de aguas servidas para reutilizarlas en edificaciones sustentables." In Arquitectura y Sustentabilidad Handbook T-I. ECORFAN-Mexico, S.C., 2021. http://dx.doi.org/10.35429/h.2021.14.1.46.52.

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The lack of water in the sectors is synonymous with poverty, health problems, social disorders and conflicts between inhabitants, which can be summarized in what is commonly defined as a low quality of life, since human beings have basic needs that must be satisfied to subsist and fulfill their daily tasks. The capture process in natural sources for the populations that demand it and the distribution networks, is limited in terms of capacity and years of service due to its characteristics that were defined at the time of its design and construction. The increase in the population, the deterior
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Wissow, Stephen, and Masataro Asai. "Scale-Adaptive Balancing of Exploration and Exploitation in Classical Planning." In Frontiers in Artificial Intelligence and Applications. IOS Press, 2024. http://dx.doi.org/10.3233/faia240994.

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Balancing exploration and exploitation has been an important problem in both adversarial games and automated planning. While it has been extensively analyzed in the Multi-Armed Bandit (MAB) literature, and the game community has achieved great success with MAB-based Monte Carlo Tree Search (MCTS) methods, the planning community has struggled to advance in this area. We describe how Upper Confidence Bound 1’s (UCB1’s) assumption of reward distributions with known bounded support shared among siblings (arms) is violated when MCTS/Trial-based Heuristic Tree Search (THTS) in previous work uses heu
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Baran, Tamer. "Comparison of Parametric and Non-Parametric Methods to Analyse the Data Gathered by a Likert-Type Scale." In Advances in Business Information Systems and Analytics. IGI Global, 2021. http://dx.doi.org/10.4018/978-1-7998-6985-6.ch020.

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The aim of this chapter is to reveal whether the results of the analysis of the data obtained using Likert type scales (LTSs) with parametric and non-parametric methods in different response alternative (DRA) numbers will differ in terms of statistical significance. In this respect, the data were obtained from 271 university students with CETSCALE prepared using LTS in five different response alternatives (DRAs). The data were analysed using the one sample t test and Wilcoxon signed rank test. Significant findings of the study in the analysis of the data obtained using midpoint LTSs and with t
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Haimmond, B. L., P. J. Reynolds, and W. A. Lester. "Damped-core quantum Monte Carlo method: Effective treatment for large-Z systems." In Quantum Monte Carlo. Oxford University PressNew York, NY, 2007. http://dx.doi.org/10.1093/oso/9780195310108.003.0059.

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Abstract Heavy atoms are problematic in QMC calculations for several reasons. Their energies are large, they have many electrons, and the time scales for core and valence electron motions are widely different. Larger local energy fluctuations are associated with higher energies. More electrons require longer computational efforts. Different time scales require short steps in one region and long equilibration times in others. The result is an estimated scaling of computational effort with zB-7, the sixth to seventh power of the nuclear charge Z. The Z-dependence can be reduced with the use of p
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Vrbik, J., M. F. Depasquale, and S. M. Rothstein. "Estimating the relativistic energy by diffusion quantum Monte Carlo." In Quantum Monte Carlo. Oxford University PressNew York, NY, 2007. http://dx.doi.org/10.1093/oso/9780195310108.003.0060.

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Abstract Heavy atoms are problematic in QMC calculations for several reasons. Their energies are large, they have many electrons, and the time scales for core and valence electron motions are widely different. Larger local energy fluctuations are associated with higher energies. More electrons require longer computational efforts. Different time scales require short steps in one region and long equilibration times in others. The result is an estimated scaling of computational effort with zB-7, the sixth to seventh power of the nuclear charge Z. The Z-dependence can be reduced with the use of p
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Kardar, Mehran. "Fluctuation-induced Forces In and out of Equilibrium." In Active Matter and Nonequilibrium Statistical Physics. Oxford University PressOxford, 2022. http://dx.doi.org/10.1093/oso/9780192858313.003.0014.

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Abstract Fluctuation-induced forces (FIFs) are prevalent in nature, covering a plethora of phenomena spanning biophysics to cosmology. The common ingredients are: (i) A fluctuating medium that can be described by a probability distribution; and (ii) External objects whose presence constrains (or somehow modifies) these fluctuations. The overall strength of the interaction is proportional to the magnitude of undistorted fluctuations; while its range is set by the extent of correlations of the fluctuations. In this Chapter we focus on some interesting cases when the interactions are long–ranged
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Conference papers on the topic "Scaled t–distribution"

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Li, Xue, Ruolin Zhou, Qian Han, and Zhiqiang Wu. "Cognitive radio network interference modeling with shadowing effectvia Scaled Student's t distribution." In ICC 2012 - 2012 IEEE International Conference on Communications. IEEE, 2012. http://dx.doi.org/10.1109/icc.2012.6364381.

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Lu, Chunguang, Yongshun Zhang, Hongqiang Liu, and Fuyu Lu. "A New Robust Filter for Nonlinear System Based on Multiple Scaled Multivariate Skew-t Distribution." In 2021 IEEE International Conference on Unmanned Systems (ICUS). IEEE, 2021. http://dx.doi.org/10.1109/icus52573.2021.9641204.

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Feng, Bowen, and Yongjian Liu. "Full-scaled experiment on flexural behavior of pre-tensioned prestressed bulb T-beam." In IABSE Congress, Christchurch 2021: Resilient technologies for sustainable infrastructure. International Association for Bridge and Structural Engineering (IABSE), 2021. http://dx.doi.org/10.2749/christchurch.2021.0172.

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<p>In order to study the flexural behavior of bulb T-beam, a full-scaled specimen was test until failure. The prestress friction loss, load-displacement relationship, crack distribution and failure mode of the specimen were measured. It showed that obvious friction existed between plate-type bend device using 16Mn and steel strand and the frictional coefficient equals 0.25. The failure mode of the test beam conformed to the design criterion of balanced-reinforced beam. Additionally, the test results were compared to the results calculated by guidelines including JTJ 3362-2018, GB 50010-
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Meshii, Toshiyuki, and Kenichi Ishihara. "Application of the T-Scaling Method to Predict Fracture Toughness Under Compressive Residual Stress in the Transition Temperature Region." In ASME 2018 Pressure Vessels and Piping Conference. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/pvp2018-84151.

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The fracture toughness Jc of a material in the ductile-to-brittle transition temperature region shows a test specimen thickness (TST) effect and temperature dependence, and apparently increases when a compressive residual stress is applied. Many models to explain these phenomena have been proposed that can also consider the large scatter of Jc. On the contrary, the authors have focused on the mean Jc and have demonstrated that the TST effect on Jc and temperature dependence of Jc are due to “the loss of the one-to-one correspondence between J and the crack-tip stress distribution” and that the
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Nakano, Hiroki, and Toshiyuki Meshii. "Application of T-Scaling Method to Account for the Effects of Notch Acuity on Notch Fracture Toughness in the Ductile-to-Brittle Transition Temperature Region." In ASME 2018 Pressure Vessels and Piping Conference. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/pvp2018-84165.

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Current defect assessment procedures based on fracture mechanics usually assume flaws to be infinitely sharp. While this assumption may be appropriate for fatigue cracks, for non-sharp flaws such as porosity, mechanical damage, or weld undercut, it can be an over-conservative assumption that can lead to pessimistic assessments of structural integrity and a significant underestimation of the true safety margin against fracture. Irwin studied notched and pre-cracked fracture toughness in the lower shelf region and suggested that notched KIc, which is linear-elastic plane-strain fracture toughnes
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Oak, Myunghoon, Jongbum Lee, Jungwon Bae, et al. "Statistical Failure Analysis for Non-Parametric Characteristic in DRAM." In ISTFA 2019. ASM International, 2019. http://dx.doi.org/10.31399/asm.cp.istfa2019p0430.

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Abstract Rapid and accurate root cause analysis of the defect contributes to improvement in yield and quality in semiconductor manufacturing system. In particular, imperfection of final test can cause major problems for customers, so analysis on root cause of final test failure is important activity for high quality. It can be started with finding first test data which is highly correlated with final test failure. However, it is difficult to analyze the correlation of first test data and final test failures because the first test is made up of hundreds of test items, and the data also show non
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Steffel, S. J. "Distribution grid considerations for large scale solar and wind installations." In IEEE PES T&D 2010. IEEE, 2010. http://dx.doi.org/10.1109/tdc.2010.5484387.

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Gao, Haixiang, Ying Chen, Yin Xu, Zhitong Yu, and Laijun Chen. "A GPU-based parallel simulation platform for large-scale wind farm integration." In 2014 IEEE/PES Transmission & Distribution Conference & Exposition (T&D). IEEE, 2014. http://dx.doi.org/10.1109/tdc.2014.6863283.

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Rodrigues, E. M. G., A. W. Bizuayehu, and Joao P. S. Catalao. "Analysis of requirements in insular grid codes for large-scale integration of renewable generation." In 2014 IEEE/PES Transmission & Distribution Conference & Exposition (T&D). IEEE, 2014. http://dx.doi.org/10.1109/tdc.2014.6863237.

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Soni, Sachin, George G. Karady, Mahesh Morjaria, and Vladimir Chadliev. "Comparison of full and reduced scale solar PV plant models in multi-machine power systems." In 2014 IEEE/PES Transmission & Distribution Conference & Exposition (T&D). IEEE, 2014. http://dx.doi.org/10.1109/tdc.2014.6863299.

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Reports on the topic "Scaled t–distribution"

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Muldavin, Esteban, Yvonne Chauvin, Teri Neville, et al. A vegetation classi?cation and map: Guadalupe Mountains National Park. National Park Service, 2024. http://dx.doi.org/10.36967/2302855.

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A vegetation classi?cation and map for Guadalupe Mountains National Park (NP) is presented as part of the National Park Service Inventory & Monitoring - Vegetation Inventory Program to classify, describe, and map vegetation communities in more than 280 national park units across the United States. Guadalupe Mountains NP lies in far west Texas and contains the highest point in the state, Guadalupe Peak (8,751 ft; 2,667 m). The mountain escarpments descend some 5,000 ft (1,500 m) to the desert basins below forming a complex geologic landscape that supports vegetation communities ranging from
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EXPERIMENTAL STUDY ON WELDING RESIDUAL STRESS OF TWO-WAY STIFFENED STEEL PLATES. The Hong Kong Institute of Steel Construction, 2022. http://dx.doi.org/10.18057/icass2020.p.531.

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The immersed tunnel of Shenzhen-Zhongshan Link Project adopts the steel shell-concrete (SSC) composite structure, in which the two-way stiffened steel plate is applied as the surface of steel shell. Since the steel plate stiffened in two-way, the residual stresses could be induced in the complicated welds at the intersections of plates and stiffeners. Therefore, residual stress experimental study on two full-scale specimen of the two-way stiffened steel plate, based on the steel shell details of ShenzhenZhongshan Link Project, was carried out to investigate the distribution of residual stresse
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