• Title/Summary/Keyword: Sequential slope

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Estimation of slope , βusing the Sequential Slope in Simple Linear Regression Model

  • Choi, Yong;Kim, Dongjae
    • Communications for Statistical Applications and Methods
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    • v.10 no.2
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    • pp.257-266
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    • 2003
  • Distribution-free estimation methods are proposed for slope, $\beta$ in the simple linear regression model. In this paper, we suggest the point estimators using the sequential slope based on sign test and Wilcoxon signed rank test. Also confidence intervals are presented for each estimation methods. Monte Carlo simulation study is carried out to compare the efficiency of these methods with least square method and Theil´s method. Some properties for the proposed methods are discussed.

Parallelism Test of Slope in a Several Simple Linear Regression Model based on a Sequential Slope (여러개의 단순 선형 회귀모형에서 순차기울기를 이용한 평행성 검정)

  • Kim, Juhie;Kim, Dongjae
    • The Korean Journal of Applied Statistics
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    • v.26 no.6
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    • pp.1009-1018
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    • 2013
  • Regression analysis is useful to understand the relationship of variables; however, we need to test if the slope of each regression lines is the same when comparing several populations. This paper suggests a new parallelism test for several linear regression lines. We use F-test of ANOVA and Kruskal-Wallis (1952) tests after obtaining slope estimator from a sequential slope. In addition, a Monte Carlo simulation study is adapted to compare the power of the proposed methods with those of Park and Kim (2009).

A Data Based Methodology for Estimating the Unconditional Model of the Latent Growth Modeling (잠재성장모형의 무조건적 모델 추정을 위한 데이터 기반 방법론)

  • Cho, Yeong Bin
    • Journal of Digital Convergence
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    • v.16 no.6
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    • pp.85-93
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    • 2018
  • The Latent Growth Modeling(LGM) is known as the arising analysis method of longitudinal data and it could be classified into unconditional model and conditional model. Unconditional model requires estimated value of intercept and slope to complete a model of fitness. However, the existing LGM is in absence of a structured methodology to estimate slope when longitudinal data is neither simple linear function nor the pre-defined function. This study used Sequential Pattern of Association Rule Mining to calculate slope of unconditional model. The applied dataset is 'the Youth Panel 2001-2006' from Korea Employment Information Service. The proposed methodology was able to identify increasing fitness of the model comparing to the existing simple linear function and visualizing process of slope estimation.

Slope Stability Analysis Using the Genetic Algorithm (유전자 알고리즘을 이용한 사면안정 해석)

  • 신방웅;백승철;김홍택;황정순
    • Journal of the Korean Geotechnical Society
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    • v.18 no.6
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    • pp.117-127
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    • 2002
  • A deterministic approach of slope stability, which is generally corresponding to the model of a simple non-linear function for slopes, is problematic in that it does not account the versatile characteristics of ground layers in an effective way. To resolve this problem, this study proposes a new way of analyzing slope stability, so-called “genetic algorithm method, ” so as to reflect some particular conditions pertaining to the grounds under concern. Similarities and differences in slope stability that may exist between homogeneous and multiple ground layers are examined in a competitive manner, Overall, though similarities deemed a little bit salient, the algorithm method turned out to be very applicable to estimating the validity of slope stability. Furthermore, an additional effort to consider long-standing sequential and dynamic changes in both the amount of rainfall and the underground water level is made in order to improve the results.

On modified slope rotatability of central composite designs with two axial values (두 개의 축값을 갖는 중심합성설계의 수정기울기회전성에 관하여)

  • Kim, Hyuk Joo
    • The Korean Journal of Applied Statistics
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    • v.32 no.6
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    • pp.867-878
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    • 2019
  • In this paper, we applied modified slope rotatability introduced by Victorbabu (2005) to the central composite design of second type, and studied related content. We suggested methods of constructing central composite designs of second type which have modified slope rotatability. Especially, this property has the advantage that it can be used to sequential experiments, because we can obtain central composite designs of second type which have modified slope rotatability by adding experimental points without changing the axial values to central composite designs of second type having Box-Hunter rotatability. We explained central composite designs of second type which have modified slope rotatability by using two examples.

Identification of Dominant Cause of Cut-Slope Collapse and Monitoring of Reinforced Slope Behavior (개착사면의 붕락요인 분석 및 보강거동 계측)

  • Cho, Tae-Chin;Lee, Sang-Bae;Lee, Guen-Ho;Hwang, Taik-Jean;Kang, Pil-Gue;Won, Byung-Nam
    • Tunnel and Underground Space
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    • v.21 no.1
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    • pp.20-32
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    • 2011
  • Failure aspects of cut-slope, which induce the sequential collapses during the excavation stage, have been analyzed. Slope rock structures are investigated by examining the orientations and positions of discontinuity planes calculated based on the BIPS image inside the boreholes. Drilled core log has been also used to identify the structural defects. Clay minerals of swelling potentials are detected through XRD analysis. Numerical analysis for slope stability has been performed by utilizing the joint shear strength acquired from the direct joint shear test. Cut-slope collapse characteristics have been studied by investigating the posture of failure-prawn joint planes and the stability of tetrahedral blocks of different sizes. Cross-section analysis has been also performed to analyze the cut-slope behavior and to estimate the amount of reinforcement required to secure the stability of cut-slope. Behavior of reinforced cut-slope is also investigated by analyzing the slope monitoring data.

Model test on slope deformation and failure caused by transition from open-pit to underground mining

  • Zhang, Bin;Wang, Hanxun;Huang, Jie;Xu, Nengxiong
    • Geomechanics and Engineering
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    • v.19 no.2
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    • pp.167-178
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    • 2019
  • Open-pit (OP) and underground (UG) mining are usually used to exploit shallow and deep ore deposits, respectively. When mine deposit starts from shallow subsurface and extends to a great depth, sequential use of OP and UG mining is an efficient and economical way to maintain mining productivity. However, a transition from OP to UG mining could induce significant rock movements that cause the slope instability of the open pit. Based on Yanqianshan Iron Mine, which was in the transition from OP to UG mining, a large-scale two-dimensional (2D) model test was built according to the similar theory. Thereafter, the UG mining was carried out to mimic the process of transition from OP to UG mining to disclose the triggered rock movement as well as to assess the associated slope instability. By jointly using three-dimensional (3D) laser scanning, distributed fiber optics, and digital photogrammetry measurement, the deformations, movements and strains of the rock slope during mining were monitored. The obtained data showed that the transition from OP to UG mining led to significant slope movements and deformations that can trigger catastrophic slope failure. The progressive movement of the slope could be divided into three stages: onset of micro-fracture, propagation of tensile cracks, and the overturning and/or sliding of slopes. The failure mode depended on the orientation of structural joints of the rock mass as well as the formation of tension cracks. This study also proved that these non-contact monitoring technologies were valid methods to acquire the interior strain and external deformation with high precision.

Parallelism and Straightness Measurement of a Pair of Rails for Ultra Precision Guide-ways (초정밀 안내면 레일의 평행도 및 진직도 동시측정)

  • Hwang, Joo-Ho;Park, Chun-Hong;Wei, Gao;Kim, Seung-Woo
    • Journal of the Korean Society for Precision Engineering
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    • v.24 no.3 s.192
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    • pp.117-123
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    • 2007
  • This paper describes a three-probe system that can be used to measure the parallelism and straightness of a pair of rails simultaneously. The parallelism is measured using a modified reversal method, while the straightness is measured using a sequential two-point method. The measurement algorithms were analyzed numerically using a pair of functionally defined rails to validate the three-probe system. Tests were also performed on a pair of straightedge rails with a length of 250 mm and a maximum straightness deviation of $0.05{\mu}m$, as certified by the supplier. The experimental results demonstrated that the parallelism-measurement algorithm had a cancellation effect on the probe stage motion error. They also confirmed that the proposed system could measure the slope of a pair of rails about $0.06{\mu}rad$. Therefore, by combining this technique with a sequential differential method to measure the straightness of the rails simultaneously, the surface profiles could be determined accurately and eliminate the stage error. The measured straightness deviation of each straight edge was less than $0.05{\mu}m$, consistent with the certified value.

A Studies for Sequential Mode Change Control Algorithm of the Parallel Dual Converter of Using Thyristor for Supplying the Urban Railway DC Power (도시철도의 직류전력 공급을 위한 사이리스터를 사용한 병렬 듀얼 컨버터의 순차적 모드 전환 제어 알고리즘에 대한 연구)

  • Han, Sung-Woo;Kim, Sung-An;Cho, Yun-Hyun;Byun, Gi-Sig
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.65 no.3
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    • pp.511-519
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    • 2016
  • This paper is proposed control algorithm for the using thyristor of the parallel dual converter for Urban railway power supply in order to return the regenerative power generated by regenerative braking in urban railway train. Conventional control algorithm of Thyristor dual converter for urban railway power supply has voltage variation within a control range of hysteresis band. The purposed control algorithm of the parallel thyristor dual converter is to maintain a constant voltage without voltage variation in accordance with variable load through the Sequential mode change. And the control algorithm need calculating optimum initial firing angle to consider magnitude of the load current slope. For this purpose, Proposed algorithm for sequential conversion mode of the dual converter was verified by applying for the simulation.

Stability analysis of homogeneous slopes with benches

  • Zhao, Lianheng;Xia, Peng;Xie, Rongfu;Li, Liang;Zhang, Yingbin;Cheng, Xiao
    • Geomechanics and Engineering
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    • v.13 no.3
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    • pp.517-533
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    • 2017
  • In this paper, with a graphical approach, a series of stability charts for homogeneous slopes with benches are presented based on the upper bound limit analysis theory and strength reduction technique. The objective function of the slope safety factor $F_s$ is optimized by the nonlinear sequential quadratic programming, and a substantial number of examples are illustrated to use the stability charts for homogeneous slopes with benches driven by only the action of the soil weight. These charts can be applied to quick and accurate estimations of the stability status of homogeneous slopes with benches. Moreover, the failure modes and the formula for safety factor Fs of homogeneous slopes with benches are provided to illustrate the stability analysis of slopes with benches, which is validated by samples.