• Title/Summary/Keyword: 산포함수

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Derivation and verification of influence function on parameter δ proposed by Ghosh and Kim (Ghosh와 Kim 모수 δ의 영향함수 유도 및 확인)

  • Kim, Minjeong;Kim, Honggie
    • The Korean Journal of Applied Statistics
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    • v.30 no.4
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    • pp.529-538
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    • 2017
  • The Ghosh and Kim zero-altered distribution model is used to analyze count data that have too many or too few zeros. The dispersion type parameter ${\delta}$ in the zero-altered distribution model consists of mean, variance and zero probability and has two forms depending on the relation between ${\mu}$ and ${\sigma}^2$. We derived the influence function on ${\delta}$ when ${\sigma}^2{\geq}{\mu}$. To show the validity of the influence function, we used the Census data on the number of births of married women in Korea to compare the estimated changes in ${\delta}$ using this function with those obtained using the direct deletion method. The result proved that the obtained influence function is very accurate in estimating changes in ${\delta}$ when an observation is deleted.

Model Checking for Joint Modelling of Mean and Dispersion (평균과 산포의 동시 모형화에 대한 모형검토)

  • Ha, Il-Do;Lee, Woo-Dong;Cho, Geon-Ho
    • Journal of the Korean Data and Information Science Society
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    • v.8 no.2
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    • pp.195-209
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    • 1997
  • The joint modelling of mean and dispersion in quasi-likelihood models which greatly extend the scope of generalized linear models, is required in case that the dispersion parameter, the variance component of response variables, is not constant but changes by depending on any covariates. In this paper, by using statistical package GENSTAT(release 5.3.2, 1996) which makes a easily analyze real data through this joint modelling, we mention necessities that must consider this joint modelling rather than existing mean models through model checking based on graphic methods for esterase assay data introduced by Carrol and Ruppert(1987, pp.46-47), and then study methods finding reasonable joint model of mean and dispersion for this data.

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Sound Dispersion in Simple Fluids

  • Chung, Chang-Hyun
    • Nuclear Engineering and Technology
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    • v.6 no.3
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    • pp.171-182
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    • 1974
  • Sound dispersion in simple fluids is analyzed applying a generalized hydrodynamic ethod for time correlation functions. The effects of shear relaxation on the sound dispersion are examined for liquid argon and a dilute hard-sphere gas. In the case of liquid argon, the dispersion predicted by the theory over quite a wide range of wavenumbers exhibits the combined effects of shear relaxation and structural correlations. The results for a dilute gas indicate that that the inclusion of shear relaxation gives a qualitative improvement of Wavier-Stokes theory.

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Adjustments of dispersion statistics in extended quasi-likelihood models (준우도 함수의 분산치 교정)

  • 김충락;서한손
    • The Korean Journal of Applied Statistics
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    • v.6 no.1
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    • pp.41-52
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    • 1993
  • In this paper we study numerical behavior of the adjustments for the variances of the pearson and deviance type dispersion statistics in two overdispersed mixture models; negative binomial and beta-binomial distribution. They are important families of an extended quasi-likelihood model which is very useful for the joint modelling of mean and dispersion. Comparisons are done for two types of dispersion statistics for various mean and dispersion parameters by simulation studies.

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Characteristic Analysis of Particulate Composites According to a Random Microstructure (랜덤 미세구조에 따른 입자 복합재료의 특성분석)

  • Park, Cheon;Kang, Young-Jin;Noh, Yoojeong;Lim, O-Kaung
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.30 no.1
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    • pp.23-30
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    • 2017
  • Since shape, size and distribution of particles in particulate composites have spreaded characteristics, properties of particulate composites have variation and also system behavior using particulate composites have variation. However, it is difficult to consider spreaded characteristic of particles so that a system behavior is analysed using homogeneous techniques or using microstructure in local areas. In this study, for considering random variation of particles, RMDFs(random morphology description functions) are used to generate random microstructure and relationship between the number of gaussian functions and spreaded characteristic of particles was analysed using the geometrical moment of area. Also, multi-scale analysis was carried out for cantilever beam with full-random microstructure to study behavior of particulate composites structure. As a result, it is defined that spreaded characteristic of particles and the variation of deflections of cantilever beam are decreased as the number of Gaussian functions(N) is increased and converges at N=200.

A new sample selection model for overdispersed count data (과대산포 가산자료의 새로운 표본선택모형)

  • Jo, Sung Eun;Zhao, Jun;Kim, Hyoung-Moon
    • The Korean Journal of Applied Statistics
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    • v.31 no.6
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    • pp.733-749
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    • 2018
  • Sample selection arises as a result of the partial observability of the outcome of interest in a study. Heckman introduced a sample selection model to analyze such data and proposed a full maximum likelihood estimation method under the assumption of normality. Recently sample selection models for binomial and Poisson response variables have been proposed. Based on the theory of symmetry-modulated distribution, we extend these to a model for overdispersed count data. This type of data with no sample selection is often modeled using negative binomial distribution. Hence we propose a sample selection model for overdispersed count data using the negative binomial distribution. A real data application is employed. Simulation studies reveal that our estimation method based on profile log-likelihood is stable.

Asymptotic Relative Efficiency for New Score Functions in Rank Regression Models (순위회귀모형의 새로운 스코어 함수의 효율성 연구)

  • 최영훈
    • The Korean Journal of Applied Statistics
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    • v.17 no.2
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    • pp.269-280
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    • 2004
  • We explore the selection of r and s that provides improvement over the Wilcoxon scores under the asymmetric distributions we encounter in practice. We select 0 〈 r 〈 1, s 〉 1 for right-skewed distribution and r 〉 1,0 〈 s 〈 1 for left-skewed distributions from the perspective plots. We also study the association between the desirable r and s and the test statistic for skewness.

Developing the travel cost function based on Microscopic Simulator(VISSIM) Data (미시적 교통류 시뮬레이터기반 통행비용함수의 개발 및 적용)

  • Cho, Hyun-Woo;Lee, Yong-Taeck
    • International Journal of Highway Engineering
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    • v.9 no.4
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    • pp.129-134
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    • 2007
  • In general, based on traffic data in a ideal traffic condition, BPR cost function is used to a variety of transportation policies. However, Some researchers have reported that BRP cost function is not appropriate for analyzing traffic pattern as well as forecasting future demand.(Spiess, 1989 ; Singh, 1999) Therefore, in this paper to solve this problem, a methodology based on data through Micro traffic Simulator Based(MSB) is developed. As a result following outputs are obtained ; (1) presenting a methodology to develop a travel cost function through VISSIM in order to assess transportation policies and (2) developing BRP cost function and MSB cost function from data analysis through VISSIM and verifying availability of MSB function by comparative analysis.

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A Study on the Quality Deviation of Passenger Cars using the Robust Design (강건 설계 기법을 이용한 승용차의 품질 산포에 관한 연구)

  • Kim, Ki-Chang;Kim, Chan-Mook
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2006.05a
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    • pp.110-113
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    • 2006
  • This paper describes the development process of body and full vehicle for reduced idle vibration through the data level of frequency and sensitivity. The vibration mode map is used to separate body structure modes from resonance of engine idle nm and steering system. This paper describes the analysis approach process to reduce the variation of uncertainties for idle vibration performance at initial design stage. The robust design method is performed to increase the stabilization performance under vehicle vibration. It is used to predict the effects of the stiffness deviation according to the spot welding condition of the body structure. The tolerance associated with hood over slam bumper is analyzed for the quality deviation of the moving system in full vehicle. And the glass sealant stiffness and weight difference is considered for the deviation characteristic. The design guideline is suggested considering sensitivity about body and full vehicle by using mother car at initial design stage. It makes possible to design the good NVH performance and save vehicles to be used in tests. These improvements can lead to shortening the time needed to develop better vehicles.

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Domain Selection Using Asymptotic Decider Criterion in Volume Modeling Based on Tetrahedrization (사면체 기반의 볼륨 모델링에서 점근선 판정기를 이용한 영역의 선택)

  • Lee, Kun;Gwun, Ou-Bong
    • The KIPS Transactions:PartA
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    • v.10A no.1
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    • pp.59-68
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    • 2003
  • 3-D data modeling of a volumetric scattered data is highly demanded for geological structure inspection, environment visualization and supersonic testing. The data used in these area are generally irregularly scattered in a volume data space, which are much different from the structured points data (cuberille data) used in Marching cube algorithm. In this paper, first we explore a volume modeling method for the scattered data based on tetrahedral domain. Next we propose a method for solving the ambiguity of tetrahedral domain decision using asymptotic decider criterion. Last we implement a simple visualization system based on the proposed asymptotic decider criterion and compare it with a system based on sphere criterion. In deciding tetrahedral domain, sphere criterion considers only positional values but asymptotic decider criterion considers not only positional values but also functional values, so asymptotic decider criterion is more accurate on deciding tetrahedral domain than sphere criterion.