• Title/Summary/Keyword: maximum theorem

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Prediction of seismic displacements in gravity retaining walls based on limit analysis approach

  • Mojallal, Mohammad;Ghanbari, Ali
    • Structural Engineering and Mechanics
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    • v.42 no.2
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    • pp.247-267
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    • 2012
  • Calculating the displacements of retaining walls under seismic loads is a crucial part in optimum design of these structures and unfortunately the techniques based on active seismic pressure are not sufficient alone for an appropriate design of the wall. Using limit analysis concepts, the seismic displacements of retaining walls are studied in present research. In this regard, applying limit analysis method and upper bound theorem, a new procedure is proposed for calculating the yield acceleration, critical angle of failure wedge, and permanent displacements of retaining walls in seismic conditions for two failure mechanisms, namely sliding and sliding-rotational modes. Also, the effect of internal friction angle of soil, the friction angle between wall and soil, maximum acceleration of the earthquake and height of the wall all in the magnitude of seismic displacements has been investigated by the suggested method. Two sets of ground acceleration records related to near-field and far-field domains are employed in analyses and eventually the results obtained from the suggested method are compared with those from other techniques.

A Flexure Guided Planar Scanner for Scanning Probe Microscope ; Part 1 : Design and Analysis of Static and Dynamic Properties (주사 현미경용 평면 스캐너 Part 1 :설계 및 정 · 동특성 해석)

  • Lee, Dong-Yeon;Lee, Moo-Yeon
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.15 no.6 s.99
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    • pp.667-673
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    • 2005
  • This paper shows a method for design of the nano-positioning planar scanner used in the scanning probe microscope. The planar scanner is composed of flexure guides, piezoelectric actuators and feedback sensors. In the design of flexure guides, the Castigliano's theorem was used to find the stiffness of the guide. The motion amplifying mechanism was used in the piezoelectric actuator to achieve a large travel range. We found theoretically the travel range of the total system and verified using the commercial FEM(finite element method) program. The maximum travel range of the planar scanner is above than 140 $\mu$m. The 3 axis positioning capability was verified by the mode analysis using the FEM program.

Secret Key Generation from Common Randomness over Ultra-wideband Wireless Channels

  • Huang, Jing Jing;Jiang, Ting
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.8 no.10
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    • pp.3557-3571
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    • 2014
  • We develop a secret key generation scheme using phase estimation in ultra-wideband (UWB) wireless fading channels. Based on the reciprocity theorem, two terminals extract the phase of the channel as a common random source to generate secret bits. Moreover, we study the secret key rate by a pair of nodes observing correlated sources and communicating to achieve secret key agreement over public communication channels. As our main results, we establish a more practical upper bound from Cramer-Rao bound (CRB) and compare it with a universally theoretical upper bound on the shared maximum key rate from mutual information of correlated random sources. Derivation and numerical examples are presented to demonstrate the bound. Simulation studies are also provided to validate feasibility and efficiency of the proposed scheme.

A Basic Method for Composite Power System Expansion Planning under Security Criteria (안전도 제약을 고려한 복합전력계통의 확충계획에 관한 기초연구)

  • Kwon, Jung-Ji;Tran, TrungTinh;Choi, Jae-Seok
    • Proceedings of the KIEE Conference
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    • 2005.07a
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    • pp.557-559
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    • 2005
  • This paper proposes a method for choosing the best composite power system expansion plan considering a contingency security criterion. The proposed method minimizes the investment budget fer constructing new transmission lines subject to contingency criterion. it models the power system expansion problem as an integer programming one. The method solves for the optimal strategy using a branch and bound method that utilizes a network flow approach and the maximum flow-minimum cut set theorem. Although the proposed method is applied to a simple sample study, the test results demonstrate that the proposed method is suitable for solving the power system expansion-planning problem subject to practical future uncertainties.

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Distribution of the Estimator for Peak of a Regression Function Using the Concomitants of Extreme Oder Statistics

  • Kim, S.H;Kim, T.S.
    • Communications for Statistical Applications and Methods
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    • v.5 no.3
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    • pp.855-868
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    • 1998
  • For a random sample of size n from general linear model, $Y_i= heta(X_i)+varepsilon_i,;let Y_{in}$ denote the ith oder statistics of the Y sample values. The X-value associated with $Y_{in}$ is denoted by $X_{[in]}$ and is called the concomitant of ith order statistics. The estimator of the location of a maximum of a regression function, $ heta$($\chi$), was proposed by (equation omitted) and was found the convergence rate of it under certain weak assumptions on $ heta$. We will discuss the asymptotic distributions of both $ heta(X_{〔n-r+1〕}$) and (equation omitted) when r is fixed as nolongrightarrow$\infty$(i.e. extreme case) on the basis of the theorem of the concomitants of order statistics. And the will investigate the asymptotic behavior of Max{$\theta$( $X_{〔n-r+1:n〕/}$ ), . , $\theta$( $X_{〔n:n〕}$)}as an estimator for the peak of a regression function.

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Selection of Optimal Supporting Position to Maximize Natural Frequency of the Structure Using Frequency Response Function (주파수 응답함수를 이용한 구조물 고유진동수 극대화를 위한 최적 지지점 선정)

  • 박용화;정완섭;박윤식
    • Journal of KSNVE
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    • v.10 no.4
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    • pp.648-654
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    • 2000
  • A procedure to determine the realizable optimal positions of rigid supports is suggested to get a maximum fundamental natural frequency. a measured frequency response function based substructure-coupling technique is used to model the supported structure. The optimization procedure carries out the eigenvalue sensitivity analysis with respect to the stiffness of supports. As a result of such stiffness optimization, the optimal rigid-support positions are shown to be determined by choosing the position of the largest stiffness. The optimally determined support conditions are verified to satisfy the eigenvalue limit theorem. To demonstrate the effectiveness of the proposed method, the optimal support positions of a plate model are investigated. Experimental results indicate that the proposed method can effectively find out the optimal support conditions of the structure just based on the measured frequency response functions without any use of numerical model of the structure.

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A note on a method for estimating the linear expenditure system with one restriction

  • Lee, Seok-Koo
    • Journal of the Korean Statistical Society
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    • v.4 no.1
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    • pp.67-78
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    • 1975
  • Over twenty-five years ago, Professor Klein and Rubin presented the linear expenditure system. That system was first estimated by Stone. Subsequently many investigators have estimated that system. In this paper, many points of the error structure shown by Pollak and Wales are referred to. Barten presented an estimation theorem on a singular covariance matrix. In order to estimate parameters, we place an emphasis on the maximum likihood method which we believe to be most appropriate. As we have one linear restriction on parameters to be estimated, we maximized the associated likelihood function subject to that linear restriction through the well-known lagrange multiplier method. This paper is organized in the following fashion : (1) a brief description on classical consumer theory, (2) a linear expenditure system and its constraint, (3) dyanmic specification and stochastic specification, (4) estimation method, and (5) conclusion.

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Normality of the MPLE of a Proportional Hazard Model for Informative Censored Data (정보적 중도절단을 고려한 최대 편우도 추정량의 정규성)

  • 정대현;원동유
    • Journal of Applied Reliability
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    • v.1 no.2
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    • pp.149-163
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    • 2001
  • We study the normality of the maximum partial likelihood estimators for the proportional hazard model with informative censored data. The proposed models cover the cases in which the times to a primary event may be informatively or randomly censored and the times to a secondary event may be randomly censored. To estimate the parameters and to check the normality of the parameters in the model, we adopt the partial likelihood and counting process to use the martingale central limit theorem. Simulation studies are performed to examine the normality of the MPLE's for the five cases in which they depend upon the proportions of randomly censored and informative censored data.

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Estimation of Radar Cross Section for a Swerving 1 Target

  • Jung, Young-Hun;Hong, Young-Ho
    • Proceedings of the Korea Society for Industrial Systems Conference
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    • 2001.05a
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    • pp.232-236
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    • 2001
  • In this paper, we consider the problem of estimation of average radar cross section (RCS) for Swerling 1 fluctuation model, based on the maximum likelihood (ML) estimation method. In a mathematical development we take into account the event that target strength is lower than detection threshold, or the target is not detected. Our ML estimation for the SWR uses the score function that is the joint probability-pdf of the events and random variables. The solution to the ML estimation reduces to an expression in the from of a contraction mapping. The computational efficiency of the contraction mapping theorem is significant in computing the ML estimation as compared with other root-finding algorithms fur most radar tracking conditions.

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ANALYSIS OF K-CLASS-BASED DEDICATED STORAGE POLICY IN A UNIT LOAD SYSTEM

  • Yang, Moon-Hee;Rhee, Min-Surp
    • Journal of applied mathematics & informatics
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    • v.23 no.1_2
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    • pp.505-516
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    • 2007
  • In this paper, we provide some fundamental properties and basic theoretical results of K-class-based dedicated storage policy in a unit load system assuming the constant-space assumption that the number of storage locations for a class is not the maximum aggregate inventory position for a class but the sum of space requirement for products assigned to the class. The main theorem is that there exists a (K+1) -class-based storage layout whose expexted single command (SC) travel time is not greater than that of a K-class-based storage layout, i.e, $E(SC^*_{K+1}){\leq}E(SC^*_K)\;for\;K=1,{\cdots}$, (n-1).