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CONSISTENT AND ASYMPTOTICALLY NORMAL ESTIMATORS FOR PERIODIC BILINEAR MODELS

  • Bibi, Abdelouahab;Gautier, Antony
    • Bulletin of the Korean Mathematical Society
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    • v.47 no.5
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    • pp.889-905
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    • 2010
  • In this paper, a distribution free approach to the parameter estimation of a simple bilinear model with periodic coefficients is presented. The proposed method relies on minimum distance estimator based on the autocovariances of the squared process. Consistency and asymptotic normality of the estimator, as well as hypotheses testing, are derived. Numerical experiments on simulated data sets are presented to highlight the theoretical results.

A Note on Interval Approximation of a Fuzzy Number

  • Hong, Dug-Hun;Kim, Kyung-Tae
    • Journal of the Korean Data and Information Science Society
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    • v.17 no.3
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    • pp.913-918
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    • 2006
  • Chanas(2001) introduced the notion of interval approximation of a fuzzy number with the condition that the width of this interval is equal to the width of the expected interval. In this note, this condition is relaxed and the resulting formulae are derived for determining the approximation interval. This interval is compared with the expected interval and approximation interval of a fuzzy number as introduced by Chanas.

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Sensitivity Analysis in Principal Component Regression : Numerical Investigation (주성분회귀(主成分回歸)에서의 민감도분석(敏感度分析) : 수치적(數値的) 연구(硏究))

  • Shin, Jae-Kyoung;Tarumi, Tomoyuki;Tanaka, Yutaka
    • Journal of the Korean Data and Information Science Society
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    • v.2
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    • pp.1-9
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    • 1991
  • Shin, Tarumi and Tanaka(1989) discussed a method of sensitivity analysis in principal component regression(PCR) based on an influence function derived by Tanaka(1988). The present paper is its continuation. In this paper we first consider two new influence measures, then apply the proposed method to various data sets and discuss some properties of sensitivity analysis in PCR.

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A Bayes Sequential Selection of the Least Probale Event

  • Hwang, Hyung-Tae;Kim, Woo-Chul
    • Journal of the Korean Statistical Society
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    • v.11 no.1
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    • pp.25-35
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    • 1982
  • A problem of selecting the least probable cell in a multinomial distribution is studied in a Bayesian framework. We consider two loss components the cost of sampling and the difference in cell probabilities between the selected and the least probable cells. A Bayes sequential selection rule is derived with respect to a Dirichlet prior, and it is compared with the best fixed sample size selection rule. The continuation sets with respect to the vague prior are tabulated for certain cases.

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THE LENGTH-BIASED POWERED INVERSE RAYLEIGH DISTRIBUTION WITH APPLICATIONS

  • MUSTAFA, ABDELFATTAH;KHAN, M.I.
    • Journal of applied mathematics & informatics
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    • v.40 no.1_2
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    • pp.1-13
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    • 2022
  • This article introduces a new distribution called length-biased powered inverse Rayleigh distribution. Some of its statistical properties are derived. Maximum likelihood procedure is applied to report the point and interval estimations of all model parameters. The proposed distribution is also applied to two real data sets for illustrative purposes.

A Study on the Permissible Gain Ranges of the P and PI Controllers for the Retarded Processes (시간지연을 갖는 제어대상에 대한 P. PI제어의 유효 게인 조정 범위에 관한 연구)

  • 강인철;최순만;최재성
    • Journal of Advanced Marine Engineering and Technology
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    • v.25 no.5
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    • pp.1086-1090
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    • 2001
  • In this paper, a method deciding the permissible gains of the P and PT controllers for a retarded process under stable condition is proposed. For analysis, the controlled process is assumed to be first-order system with time delay. At first, the adjustable parameter sets causing stability limit are obtained based on the frequency domain condition which makes the roots of the characteristic equation locate on the imaginary axis. And the cut-in frequency ${\omega}_p$ to bring the parameter set to P control from PI control is derived is derived in terms of L and $T_m$ then ${\omega}_p$ is used to compute the maximum gain with stable condition. The results indicate that the permissible controller gains can be described by a unique if parameters L and $T_m$ are know.

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Evaluation and analytical approximation of Tuned Mass Damper performance in an earthquake environment

  • Tributsch, Alexander;Adam, Christoph
    • Smart Structures and Systems
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    • v.10 no.2
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    • pp.155-179
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    • 2012
  • This paper aims at assessing the seismic performance of Tuned Mass Dampers (TMDs) based on sets of recorded ground motions. For the simplest configuration of a structure-TMD assembly, in a comprehensive study characteristic response quantities are derived and statistically evaluated. Optimal tuning of TMD parameters is discussed and evaluated. The response reduction by application of a TMD is quantified depending on the structural period, inherent damping of the stand-alone structure, and ratio of TMD mass to structural mass. The effect of detuning on the stroke of the TMD and on the structural response is assessed and quantified. It is verified that a TMD damping coefficient larger than the optimal one reduces the peak deflection of the TMD spring significantly, whereas the response reduction of the main structure remains almost unaffected. Analytical relations for quantifying the effect of a TMD are derived and subsequently evaluated. These relations allow the engineer in practice a fast and yet accurate assessment of the TMD performance.

Surface-based Geometric Registration of Aerial Images and LIDAR Data

  • Lee, Impyeong;Kim, Seong-Joon;Choi, Yunsoo
    • Korean Journal of Geomatics
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    • v.5 no.1
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    • pp.35-42
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    • 2005
  • Precise geometric registration is required in multi-source data fusion process to obtain synergistic results successfully. However, most of the previous studies focus on the assumption of perfect registration or registration in a limited local area with intuitively derived simple geometric model. In this study, therefore, we developed a robust method for geometric registration based on a systematic model that is derived from the geometry associated with the data acquisition processes. The key concept of the proposed approach is to utilize smooth planar patches extracted from LIDAR data as control surfaces to adjust exterior orientation parameters of the aerial images. Registration of the simulated LIDAR data and aerial images was performed. The experimental results show that the RMS value of the geometric discrepancies between two data sets is decreased to less than ${\pm}0.30\;m$ after applying suggested registration method.

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Development of a SNP Marker Set for Tomato Cultivar Identification (토마토 품종 구분을 위한 SNP 분자표지 개발)

  • Bae, Joong-Hwan;Han, Yang;Jeong, Hee-Jin;Kwon, Jin-Kyung;Chae, Young;Choi, Hak-Soon;Kang, Byoung-Cheorl
    • Horticultural Science & Technology
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    • v.28 no.4
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    • pp.627-637
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    • 2010
  • The consumption of tomato has greatly increased recently in Korea, and a large number of tomato cultivars are commercially available in the market. However, identification of tomato cultivars by morphological traits is extremely difficult because of the narrow genetic diversity of breeding lines. Therefore, it is necessary to develop molecular markers for cultivar identification in tomato. In this study, we surveyed single nucleotide polymorphism (SNP), and developed SNP marker sets for tomato cultivar identification. SNP markers were developed based on conserved ortholog set II (COSII) and intron-based markers derived from pepper EST sequences, and marker polymorphism was tested using high-resolution melting (HRM) analysis. A total of 628 primer sets was tested, and 417 primer sets amplifying single bands were selected. Of the 417 primer sets, 70 primer sets showing HRM polymorphism among 4 inbred lines were selected. Eleven markers were selected from the 70 primer sets and subjected to cultivar identification analysis. Thirty two commercial tomato cultivars were successfully identified using the marker set.

Development of Compliant and Dissipative Joints in Coupled Thin Plates for Vibrational Energy Flow Analysis (평판 구조물의 진동 파워흐름해석을 위한 비보존 조인트 개발)

  • Song, Jee-Hun;Hong, Suk-Yoon
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.18 no.10
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    • pp.1082-1090
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    • 2008
  • In this paper, a general solution for the vibrational energy and intensity distribution through a compliant and dissipative joint between plate structures is derived on the basis of energy flow analysis (EFA). The joints are modeled by four sets of springs and dashpots to show their compliancy and dissipation in all four degrees of freedom. First, for the EFA, the power transmission and reflection coefficients for the joint on coupled plate structures connected at arbitrary angles were derived by the wave transmission approach. In numerical applications, EFA is performed using the derived coefficients for coupled plate structures under various joint properties, excitation frequencies, coupling angles, and internal loss factors. Numerical results of the vibrational energy distribution showed that the developed compliant and dissipative joint model successfully predicted the joint characteristics of practical structures vibrating in the medium-to-high frequency ranges. Moreover, the intensity distribution of a compliant and dissipative joint is described.