• Title/Summary/Keyword: b parameter

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ON THE EXISTENCE OF THE TWEEDIE POWER PARAMETER IMPLICIT ESTIMATOR

  • Ghribi, Abdelaziz;Hassin, Aymen;Masmoudi, Afif
    • Bulletin of the Korean Mathematical Society
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    • v.59 no.4
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    • pp.979-991
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    • 2022
  • A special class of exponential dispersion models is the class of Tweedie distributions. This class is very significant in statistical modeling as it includes a number of familiar distributions such as Gaussian, Gamma and compound Poisson. A Tweedie distribution has a power parameter p, a mean m and a dispersion parameter 𝜙. The value of the power parameter lies in identifying the corresponding distribution of the Tweedie family. The basic objective of this research work resides in investigating the existence of the implicit estimator of the power parameter of the Tweedie distribution. A necessary and sufficient condition on the mean parameter m, suggesting that the implicit estimator of the power parameter p exists, was established and we provided some asymptotic properties of this estimator.

SPECTROPHOTOMETRICAL CLASSIFICATIONS OF STARS (별의 분광 측광학적 분류)

  • U, Jong-Ok
    • Publications of The Korean Astronomical Society
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    • v.9 no.1
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    • pp.69-84
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    • 1994
  • The spectral types of stars can be classified by using Balmer discontinuity($D_B$) and wavelength(${\lambda}_B$) expressed in terms of effective temperatures appeared in Balmer discontinuity. In this research, in order to classify stars, we used the well established observational data of high dispersion spectrophotometry for the spectral types and luminosity classes of stars in the Breger(1976) catalogue. Balmer discontinuity by effective temperatures of stars was accurately measured, and the ${\lambda}_B$ was replaced to luminosity classes of MK system, because of the close relationship between the As and luminosity classes. We measured the energy gradients(${\phi}_R$) of stars which were expressed as a function of spectral types in the interval of ${\lambda}{\lambda}4,000{\sim}4600{\AA}$, and then obtained a new physical parameter(${\phi}$) from the $D_B$ and ${\phi}_B$. The new parameter, ${\phi}$ can be used instead of HD classifications of stars and can be used widely for spectrophotometrical classifications of stars.

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A Fire Hazard Assessment of Interior Finish Materials (건물 내장재의 화재위험성 평가 방법)

  • 김운형
    • Fire Science and Engineering
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    • v.12 no.2
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    • pp.17-28
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    • 1998
  • To propose a new fire hazard assessment criteria of interior finish materials, the properties and incident heat flux of interior finish materials in a compartment fires are investigated and compared by using flame spread model developed by Quintiere. The properties considered on which fire growth depend are including flame heat flux and thermal inertia, lateral flame spread parameter, heat of combustion and effective heat flux and thermal inertia, lateral flame spread parameter, heat of combustion and effective heat of gasfication. ISO Room Corner Test(9705) is applied in the model and the time for total energy release rate to reach 1MW is examined. The results are compared for the 24 different materials tested by EUREFIC. Dimensionless parameter a, b and ${\gamma}$b are used to develope a new method in which fire hazard of interior finish materials can be classified resulting from correlation between b and flashover time. Results show that if b greater than about zero, flashover time in the ISO Room-Corner Test is principally proportional to ignition time only.

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A Theory on Phase Behaviors of Diblock Copolymer/Homopolymer Blends

  • 윤경섭;박형석
    • Bulletin of the Korean Chemical Society
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    • v.16 no.9
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    • pp.873-885
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    • 1995
  • The local structural and thermodynamical properties of blends A-B/H of a diblock copolymer A-B and a homopolymer H are studied using the polymer reference interaction site model (RISM) integral equation theory with the mean-spherical approximation closure. The random phase approximation (RPA)-like static scattering function is derived and the interaction parameter is obtained to investigate the phase transition behaviors in A-B/H blends effectively. The dependences of the microscopic interaction parameter and the macrophase-microphase separation on temperature, molecular weight, block composition and segment size ratio of the diblock copolymer, density, and concentration of the added homopolymer, are investigated numerically within the framework of Gaussian chain statistics. The numerical calculations of site-site interchain pair correlation functions are performed to see the local structures for the model blends. The calculated phase diagrams for A-B/H blends from the polymer RISM theory are compared with results by the RPA model and transmission electron microscopy (TEM). Our extended formal version shows the different feature from RPA in the microscopic phase separation behavior, but shows the consistency with TEM qualitatively. Scaling relationships of scattering peak, interaction parameter, and temperature at the microphase separation are obtained for the molecular weight of diblock copolymer. They are compared with the recent data by small-angle neutron scattering measurements.

Study on the size reduction factor of extreme wind pressure of facade cladding of high-rise buildings with square section

  • Xiang Wang;Yong Quan;Zhengwei Zhang;Ming Gu
    • Wind and Structures
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    • v.36 no.1
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    • pp.41-60
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    • 2023
  • The effect of cladding panel size on the size reduction factor (SRF) of extreme area-averaging wind pressure (EAWP) on the facades of a high-rise building is often ignored in previous studies. Based on wind tunnel tests, this study investigated the horizontal and vertical correlations of wind pressure on the facade claddings of square-section high-rise buildings. Then, the influencing parameters on the SRF of the EAWP on the cladding panels were analyzed, which were the panel area, panel width, panel length and building width. The results show clear regional distinctions in the correlation of wind pressures on the building facades and the rules of the horizontal and vertical correlations are remarkably different, which causes the cladding size ratio to impact the SRF significantly. Therefore, this study suggests the use of the non-dimensional comprehensive size parameter b𝜶h1-𝜶/B (𝜶 is the fitting parameter) determined by the cladding panel horizontal size b, cladding panel vertical size h and the building width B rather than the cladding panel area to describe the variation of the EAWP. Finally, some empirical formula for the SRF of the EAWP on the cladding of a high-rise building is proposed with the nondimensional comprehensive size parameter.

Evaluation of Analytical Parameters on Forming Limit Diagram based on Initial Geometrical Instability (초기 형상 불안정성 기반 성형한계선도의 이론적 변수에 따른 성형 한계영역 평가)

  • Noh, H.G.;Lee, B.E.;Kim, J.;Kang, B.S.;Song, W.J.
    • Transactions of Materials Processing
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    • v.23 no.4
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    • pp.199-205
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    • 2014
  • The current study examines the effect of the analytical parameter values on the theoretical forming limit diagram (FLD) based on the Marciniak-Kuczynski model (M-K model). Tensile tests were performed to obtain stress-strain curves and determine the anisotropic properties in the rolling, transverse and diagonal direction of SPCC sheet materials. The experimental forming limit curve for SPCC sheet material was obtained by limiting dome stretching tests. To predict the theoretical FLD based on the M-K model, the Hosford 79 yield function was employed. The effects of three analytical parameters - the exponent of the yield function, the initial imperfection parameter and the fracture criterion parameter - on the M-K model, were examined and the results of the theoretical FLD were compared to the experimentally measured FLD. It was found that the various analytical parameters should be carefully considered to reasonably predict the theoretical FLD. The comparison of the acceptable forming limit area between the theoretical and experimental FLD is used to compare the two diagrams.

Analysis for Usefulness of Taguchi's Orthogonal Array in Microstrip Patch Antenna Design (마이크로스트립 패치 안테나 설계에서 타구치 직교배열표의 유용성 분석)

  • Kim, Jae-Yeon;Chang, Tae-Soon;Hur, Jung
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.19 no.4
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    • pp.41-46
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    • 2019
  • This paper is analysis on usefulness of Microstrip patch antenna design using Taguchi's Orthogonal array. For comparison, the shape of U-slot and Feed line elements are decided as a parameter in Microstrip patch antenna. And all the possible result of 19,683 times simulation using parameter sweep and the result of Taguchi's orthogonal arrays are compared. The simulation of Parameter sweep and Orthogonal arrays has 3.7% error on 10dB Bandwidth. Finally, It is identified that 19,683 times parameter sweep simulation can be reduced to 27 times with Taguchi's orthogonal arrays but still it represents antenna parameter characters well.

A Study on the Graphical Representations of the 2-Port Parameter on the Load Plane by the Bilinear Transformation (쌍일차 변환에 의한 부하평면 2-포트 매개변수의 그래픽적 표현에 관한 연구)

  • 강원준;라극환
    • Journal of the Korean Institute of Telematics and Electronics A
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    • v.28A no.9
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    • pp.692-699
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    • 1991
  • In this paper, graphical representations of parameter variations affected by series or parallel feedback in the load plane were studied. As a result of transformations, all parameters of 2-port was converted to circles, and the step of noise circles and gain circles was 0.1 dB and 1dB, respectively. Compared with conventional commercial CAD softwares, the circuit design procedures could be verified much more systemically. This CAD was programmed in C-language and executed in IBM-PC with VGA graphic adaptor.

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Correction of the Refraction Effect on the Real-Time Nonlinear Parameter Tomogram (초음파 비선형 단층영상에 나타나는 굴절의 영향 보정법)

  • 이현주;이강호;최종호;최종수
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.28B no.5
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    • pp.335-342
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    • 1991
  • A real-tme nonlinear parameter tomography is pumping wave method. This tomorgraphy has a merit which requires no 180$^{\circ}$ projection datum, while the ray-bending effect is remrkably remained on the reconstructed image. In this paper we intend to compensate this ray-bending effect using the perturbation method. Impulsive pumping wave makes derived compensative term simple form, nad the compensative image is easily obtained. We perform computer simulation to confirm the improvement of corrected imate.

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Robustness Analysis of Closed-Loop Poles Located in a Polygonal Region (다각형 영역에 놓인 패루프 극점의 결실성 해석)

  • Jung Moon Lee
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.29B no.10
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    • pp.46-52
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    • 1992
  • This paper considers uncertain systems with closed-loop poles in a polygonal region. A method is presented which is applicable to computing the perturbation of a pole-located region due to parameter uncertainties. A method is also proposed to calculate the bound on parameter uncertainties which allow the closed-loop poles to remain in a specified region. They provide useful robustness measures on the closed-loop poles of uncertain systems.

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