• Title/Summary/Keyword: $\partial$-estimate

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Robust Velocity Estimation of an Omnidirectional Mobile Robot Using a Polygonal Array of Optical Mice

  • Kim, Sung-Bok;Lee, Sang-Hyup
    • International Journal of Control, Automation, and Systems
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    • v.6 no.5
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    • pp.713-721
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    • 2008
  • This paper presents the robust velocity estimation of an omnidirectional mobile robot using a polygonal array of optical mice that are installed at the bottom of the mobile robot. First, the velocity kinematics from a mobile robot to an array of optical mice is derived as an overdetermined linear system. The least squares velocity estimate of a mobile robot is then obtained, which becomes the same as the simple average for a regular polygonal arrangement of optical mice. Next, several practical issues that need be addressed for the use of the least squares mobile robot velocity estimation using optical mice are investigated, which include measurement noises, partial malfunctions, and imperfect installation. Finally, experimental results with different number of optical mice and under different floor surface conditions are given to demonstrate the validity and performance of the proposed least squares mobile robot velocity estimation method.

Estimation of Conditional Kendall's Tau for Bivariate Interval Censored Data

  • Kim, Yang-Jin
    • Communications for Statistical Applications and Methods
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    • v.22 no.6
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    • pp.599-604
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    • 2015
  • Kendall's tau statistic has been applied to test an association of bivariate random variables. However, incomplete bivariate data with a truncation and a censoring results in incomparable or unorderable pairs. With such a partial information, Tsai (1990) suggested a conditional tau statistic and a test procedure for a quasi independence that was extended to more diverse cases such as double truncation and a semi-competing risk data. In this paper, we also employed a conditional tau statistic to estimate an association of bivariate interval censored data. The suggested method shows a better result in simulation studies than Betensky and Finkelstein's multiple imputation method except a case in cases with strong associations. The association of incubation time and infection time from an AIDS cohort study is estimated as a real data example.

FOURIER-BESSEL TRANSFORMATION OF MEASURES WITH SEVERAL SPECIAL VARIABLES AND PROPERTIES OF SINGULAR DIFFERENTIAL EQUATIONS

  • Muravnik, A.B.
    • Journal of the Korean Mathematical Society
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    • v.37 no.6
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    • pp.1043-1057
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    • 2000
  • This paper is devoted to the investigation of mixed Fourier-Bessel transformation (※Equations, See Full-text) We apply the method of [6] which provides the estimate for weighted L(sub)$\infty$-norm of the spherical mean of │f│$^2$ via its weighted L$_1$-norm (generally it is wrong without the requirement of the non-negativity of f). We prove that in the case of Fourier-Bessel transformatin the mentioned method provides (in dependence on the relation between the dimension of the space of non-special variables n and the length of multiindex ν) similar estimates for weighted spherical means of │f│$^2$, the allowed powers of weights are also defined by multiindex ν. Further those estimates are applied to partial differential equations with singular Bessel operators with respect to y$_1$, …, y(sub)m and we obtain the corresponding estimates for solutions of the mentioned equations.

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칸반 시스템의 분석과 설계

  • 김성철
    • Korean Management Science Review
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    • v.9 no.1
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    • pp.3-15
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    • 1992
  • In this paper, we study a manufacturing system of serial stages with general service times, in which the production of each stage and the coordination of stages are controlled by Kanban discipline. This Kanban discipline is modeled as a Discrete Event Dynamic System and a system of recursive equations is applied to study the dynamics of the system. The recursive relationship enables us to compare this Kanban discipline with the other blocking disciplines such as transfer blocking, service blocking, block-and-hold b, and block-and-hold K, and the Kanban is shown to be superior to the other disciplines in terms of makespan and throughput. As a special case, two stages Kanban system is modeled as $C_2/C_2/1/N$ queueing system, and a recursive algorithm is developed to calculate the system performance. In optimizing the system performance, the stochastic optimization approach of Robbins-Monro is employed via perturbation analysis, the way to estimate the stochastic partial derivative based on only one sample trajectory of the system, and the required commuting condition is verified. Then the stochastic convexity result is established to provide second-order optimality condition for this parametric optimization problem.

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Comparison of Awareness about Educational Environment in Open Education of Elementary Schools - Concentrated on the Analysis of Teacher's Awareness - (열린교육 지향의 초등학교 교육환경 의식비교 - 교사들의 의식분석을 중심으로 -)

  • Jeong, Joo-Seong
    • Journal of the Korean Institute of Educational Facilities
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    • v.5 no.2
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    • pp.49-56
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    • 1998
  • This study aims to estimate the educational environment associated with various learning activities and to compare the differences of each characteristics appeared on the interviews and questions of teachers performing open education. The results were shown to the 5 groups differed from each other by the awareness analysis on their educational environment. According to the analyzed results, firstly, team teaching. applied living factor, unit learning factor, managemental factor, general public factor and assisting managemental factor were influential successively on the degree of satisfaction of teachers to the educational environment in open education of elementary schools. Secondly, to compare the relative differences between the groups, GLM was done. Most factors were significant only in the group of attached school and showed a partial significance in the grade in charge, gender and age.

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Severeness of Transmission Loads of Agricultural Tractors (농용 트랙터의 변속기 부하 가혹도에 관한 연구)

  • 김중현;김경욱;최원철;오영근
    • Journal of Biosystems Engineering
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    • v.23 no.5
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    • pp.417-426
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    • 1998
  • This study was intended to investigate the characteristics of loads acting on the transmission of agricultural tractors during plowing, rotavating and transporting operations. A survey was conducted to determine working speeds and transmission gears most frequently used for each operations. The transmission loads were measured at the input shaft of the transmission gear box during each operations. Time histories of the measured torque loads were converted into a load spectrum and analyzed with respect to the S-N curve of the shaft material to estimate the partial damages on the transmission. Finally, comparison of the relative damages and severeness of each operation was presented and discussed.

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Diagnosis Method of Output Power Lowering of PV System by Using Kalman Filter Algorithm (Kalman Filter 알고리즘을 이용한 태양광 발전 시스템의 출력저하 진단법)

  • Kang, Byung-Kwan;Kim, Seung-Tak;Lee, Hyun-Gu;Bae, Sun-Ho;Park, Jung-Wook
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.60 no.8
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    • pp.1537-1546
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    • 2011
  • The photovoltaic(PV) generation system have recently become widely used to solve the environmental problems and running out of fossil fuels. However, the study on maintenance is inadequate for PV system. This paper proposes the novel diagnosis method of output power decline to maintain the normal output performance of PV array. The diagnosis method used the proportional relation of irradiation-output current(S-I) of PV array at maximum power point(MPP). And, first order polynomial using the relation is proposed to easily apply PV system. To estimate the relation in case of separation of PV array producer and diagnosis system producer. Kalman Filter algorithm is also proposed at 30.2kW grid-connected PV system. Then, the performance of diagnosis method is evaluated using the hardware tests as well as the simulation.

Bayesian Semi-Parametric Regression for Quantile Residual Lifetime

  • Park, Taeyoung;Bae, Wonho
    • Communications for Statistical Applications and Methods
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    • v.21 no.4
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    • pp.285-296
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    • 2014
  • The quantile residual life function has been effectively used to interpret results from the analysis of the proportional hazards model for censored survival data; however, the quantile residual life function is not always estimable with currently available semi-parametric regression methods in the presence of heavy censoring. A parametric regression approach may circumvent the difficulty of heavy censoring, but parametric assumptions on a baseline hazard function can cause a potential bias. This article proposes a Bayesian semi-parametric regression approach for inference on an unknown baseline hazard function while adjusting for available covariates. We consider a model-based approach but the proposed method does not suffer from strong parametric assumptions, enjoying a closed-form specification of the parametric regression approach without sacrificing the flexibility of the semi-parametric regression approach. The proposed method is applied to simulated data and heavily censored survival data to estimate various quantile residual lifetimes and adjust for important prognostic factors.

A Speech Enhancement Algorithm based on Human Psychoacoustic Property (심리음향 특성을 이용한 음성 향상 알고리즘)

  • Jeon, Yu-Yong;Lee, Sang-Min
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.59 no.6
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    • pp.1120-1125
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    • 2010
  • In the speech system, for example hearing aid as well as speech communication, speech quality is degraded by environmental noise. In this study, to enhance the speech quality which is degraded by environmental speech, we proposed an algorithm to reduce the noise and reinforce the speech. The minima controlled recursive averaging (MCRA) algorithm is used to estimate the noise spectrum and spectral weighting factor is used to reduce the noise. And partial masking effect which is one of the human hearing properties is introduced to reinforce the speech. Then we compared the waveform, spectrogram, Perceptual Evaluation of Speech Quality (PESQ) and segmental Signal to Noise Ratio (segSNR) between original speech, noisy speech, noise reduced speech and enhanced speech by proposed method. As a result, enhanced speech by proposed method is reinforced in high frequency which is degraded by noise, and PESQ, segSNR is enhanced. It means that the speech quality is enhanced.

Low-discrepancy sampling for structural reliability sensitivity analysis

  • Cao, Zhenggang;Dai, Hongzhe;Wang, Wei
    • Structural Engineering and Mechanics
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    • v.38 no.1
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    • pp.125-140
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    • 2011
  • This study presents an innovative method to estimate the reliability sensitivity based on the low-discrepancy sampling which is a new technique for structural reliability analysis. Two advantages are contributed to the method: one is that, by developing a general importance sampling procedure for reliability sensitivity analysis, the partial derivative of the failure probability with respect to the distribution parameter can be directly obtained with typically insignificant additional computations on the basis of structural reliability analysis; and the other is that, by combining various low-discrepancy sequences with the above importance sampling procedure, the proposed method is far more efficient than that based on the classical Monte Carlo method in estimating reliability sensitivity, especially for problems of small failure probability or problems that require a large number of costly finite element analyses. Examples involving both numerical and structural problems illustrate the application and effectiveness of the method developed, which indicate that the proposed method can provide accurate and computationally efficient estimates of reliability sensitivity.