• Title/Summary/Keyword: Method of Moments

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Robust Structural Optimization Using Gauss-type Quadrature Formula (가우스구적법을 이용한 구조물의 강건최적설계)

  • Lee, Sang-Hoon;Seo, Ki-Seog;Chen, Shikui;Chen, Wei
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.33 no.8
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    • pp.745-752
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    • 2009
  • In robust design, the mean and variance of design performance are frequently used to measure the design performance and its robustness under uncertainties. In this paper, we present the Gauss-type quadrature formula as a rigorous method for mean and variance estimation involving arbitrary input distributions and further extend its use to robust design optimization. One dimensional Gauss-type quadrature formula are constructed from the input probability distributions and utilized in the construction of multidimensional quadrature formula such as the tensor product quadrature (TPQ) formula and the univariate dimension reduction (UDR) method. To improve the efficiency of using it for robust design optimization, a semi-analytic design sensitivity analysis with respect to the statistical moments is proposed. The proposed approach is applied to a simple bench mark problems and robust topology optimization of structures considering various types of uncertainty.

Simplified slab design approach for parking garages with equivalent vehicle load factors

  • Kwak, Hyo-Gyoung;Song, Jong-Young
    • Structural Engineering and Mechanics
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    • v.9 no.3
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    • pp.305-321
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    • 2000
  • This paper develops a simplified, but effective, algorithm in obtaining critical slab design moments for parking garages. Maintaining the uniformly distributed load concept generally adopted in the design of building structures, this paper also introduces the equivalent vehicle load factors, which can simulate the vehicle load effects without taking additional sophisticated numerical analyses. After choosing a standard design vehicle of 2.4 tons through the investigation of small to medium vehicles made in Korea, finite element analyses for concentrated wheel loads were conducted by referring to the influence surfaces. Based on the obtained member forces, we determined the equivalent vehicle load factors for slabs, which represent the ratios for forces under vehicle loads to these under uniformly distributed loads. In addition, the relationships between the equivalent vehicle load factors and sectional dimensions were also established by regression, and then used to obtain the proper design moments by vehicle loads. The member forces calculated by the proposed method are compared with the results of four different approaches mentioned in current design codes, with the objective to establish the relative efficiencies of the proposed method.

A data-adaptive maximum penalized likelihood estimation for the generalized extreme value distribution

  • Lee, Youngsaeng;Shin, Yonggwan;Park, Jeong-Soo
    • Communications for Statistical Applications and Methods
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    • v.24 no.5
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    • pp.493-505
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    • 2017
  • Maximum likelihood estimation (MLE) of the generalized extreme value distribution (GEVD) is known to sometimes over-estimate the positive value of the shape parameter for the small sample size. The maximum penalized likelihood estimation (MPLE) with Beta penalty function was proposed by some researchers to overcome this problem. But the determination of the hyperparameters (HP) in Beta penalty function is still an issue. This paper presents some data adaptive methods to select the HP of Beta penalty function in the MPLE framework. The idea is to let the data tell us what HP to use. For given data, the optimal HP is obtained from the minimum distance between the MLE and MPLE. A bootstrap-based method is also proposed. These methods are compared with existing approaches. The performance evaluation experiments for GEVD by Monte Carlo simulation show that the proposed methods work well for bias and mean squared error. The methods are applied to Blackstone river data and Korean heavy rainfall data to show better performance over MLE, the method of L-moments estimator, and existing MPLEs.

Design of Dipole Array Antennas for PCS/IMT-2000 (PCS/IMT-2000을 위한 다이폴 배열 안테나의 설계)

  • 최학윤
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.13 no.9
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    • pp.873-881
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    • 2002
  • In this paper, the rectangular reflector antenna with 8-dipole array for PCS band (1,750 MHz ~ l,870 MHz) and IMT-2000 band(1,885 MHz ~ 2,200 MHz) is designed and the radiation characteristics are analyzed using the method of moments and HFSS(High Frequency Structure Simulator). To verify the analysis results, rectangular reflector antenna with 8-dipole array is fabricated and the calculated results are compared with the measured results. The measured results show good agreement with the calculated results. As a result of measurements, bandwidth(VSWR< 1.5) of 450 MHz is achieved at PCS and IMT-2000 band and gain is 16 dBi. The designed antenna can be used as the base station antenna for PCS/IMT-2000.

Analysis of W-type Reflector Antennas Using the Method of Moments (모멘트법을 이용한 W형 리플렉터 안테나의 해석)

  • 이상수;최학근
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.10 no.3
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    • pp.340-350
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    • 1999
  • In this paper, W-type reflector antennas modified from corner reflector antenna structure were proposed and the radiation characteristics were analyzed using the method of moments. The analysis results such as gain, F/B, half power beamwidth, and radiation pattern are presented as functions of dipole height h and back edge spacing d. Also, the proposed antenna was compared with corner reflector antennas in the same size of side reflectors, W-type reflector antenna was found to exhibit somewhat higher gain and larger F/B than corner reflector antennas. To verify the analysis results, W-type reflector antenna was fabricated and the radiation characteristics were measured. The measured results show good agreement with the calculated results.

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How do Energy Consumption, Economic Growth and Logistics Development Interrelate?

  • HE, Yugang
    • Journal of Distribution Science
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    • v.18 no.1
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    • pp.71-83
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    • 2020
  • Purpose: Because the energy consumption, economic growth and logistics development are still the heated topics which have attracted many scholars' interests. Therefore, this paper attempts to analyze the effect of logistics development on the economic growth, explore the effect of the economic growth on energy consumption and to discuss the effect of the logistics development on energy intensity. Research design, data and methodology: Using the panel data over the period 2000-2017 of 156 countries and employing the country & year fixed effect model, system generalized method moments and random effect model, the empirical analyses of this propositions are performed. Results: The empirical findings present that the logistics development is positively related to the economic growth. The energy consumption in the t-1 period and economic growth are positively related to the current energy consumption. The logistics development is negatively related to the energy intensity. Meanwhile, the empirical findings also indicate that there is a great difference about these effects among the four sub-samples (low income 18 countries, low middle income 49 countries, upper middle income 44 countries, high income 49 countries). Conclusions: Based on the evidences in this paper provided, we can find that these variables can affect each other.

An Alternating Approach of Maximum Likelihood Estimation for Mixture of Multivariate Skew t-Distribution (치우친 다변량 t-분포 혼합모형에 대한 최우추정)

  • Kim, Seung-Gu
    • The Korean Journal of Applied Statistics
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    • v.27 no.5
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    • pp.819-831
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    • 2014
  • The Exact-EM algorithm can conventionally fit a mixture of multivariate skew distribution. However, it suffers from highly expensive computational costs to calculate the moments of multivariate truncated t-distribution in E-step. This paper proposes a new SPU-EM method that adopts the AECM algorithm principle proposed by Meng and van Dyk (1997)'s to circumvent the multi-dimensionality of the moments. This method offers a shorter execution time than a conventional Exact-EM algorithm. Some experments are provided to show its effectiveness.

A Robust Method for the Recognition of Dynamic Hand Gestures based on DSTW (다양한 환경에 강건한 DSTW 기반의 동적 손동작 인식)

  • Ji, Jae-Young;Jang, Kyung-Hyun;Lee, Jeong-Ho;Moon, Young-Shik
    • Journal of the Institute of Electronics Engineers of Korea CI
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    • v.47 no.1
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    • pp.92-103
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    • 2010
  • In this paper, a method for the recognition of dynamic hand gestures in various backgrounds using Dynamic Space Time Warping(DSTW) algorithm is proposed. The existing method using DSTW algorithm compares multiple candidate hand regions detected from every frame of the query sequence with the model sequences in terms of the time. However the existing method can not exactly recognize the models because a false path can be generated from the candidates including not-hand regions such as background, elbow, and so on. In order to solve this problem, in this paper, we use the invariant moments extracted from the candidate regions of hand and compare the similarity of invariant moments among candidate regions. The similarity is utilized as a weight and the corresponding value is applied to the matching cost between the model sequence and the query sequence. Experimental results have shown that the proposed method can recognize the dynamic hand gestures in the various backgrounds. Moreover, the recognition rate has been improved by 13%, compared with the existing method.

An Analytic Calculation Method for Delay Time of RC-class Interconnects (RC-class 회로 연결선의 지연 시간 계산을 위한 해석적 기법)

  • Kal, Won-Kwang;Kim, Seok-Yoon
    • Journal of the Korean Institute of Telematics and Electronics C
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    • v.36C no.7
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    • pp.1-9
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    • 1999
  • This paper presents an analytic 3rd order calculation methods, without simulations, for delay time of RC-class circuits which are conveniently used to on-chip interconnects. While the proposed method requires comparable evaluation time than the previous 2nd order calculation method, it ensures more accurate results than those of 2nd order method. The proposed analytic delay calculation method guarantees allowable error tolerances when compared to the results obtained from the AWE (Asymptotic Waveform Evaluation) technique and has better performance in evaluation time as well as numerical stability. The first algorithm of the proposed method requires 8 moments for the 3rd order approximation and yields more accurate delay time approximation. The second algorithm requires 6 moments for the 3rd order approximation and results in shorter evaluation time, the accuracy of which may be less than the first algorithm.

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On Estimating the Parameters of an Extended Form of Logarithmic Series Distribution

  • Kumar, C. Satheesh;Riyaza, A.
    • Communications for Statistical Applications and Methods
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    • v.20 no.5
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    • pp.417-425
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    • 2013
  • We consider an extended version of a logarithmic series distribution and discuss the estimation of its parameters by the method of moments and the method of maximum likelihood. Test procedures are suggested to test the significance of the additional parameter of this distribution and all procedures are illustrated with the help of real life data sets. In addition, a simulation study is conducted to assess the performance of the estimators.