• Title/Summary/Keyword: Distribution Journal

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A Study on the Using space of the Elementary School -Based on the type and distribution of using space of the Elementary School- (초등학교 이용공간에 관한 연구 -속초시 소재 초등학교의 이용공간 종류 및 면적 분포를 중심으로-)

  • Kim, Hak-Cheol;Cho, Jin-Il
    • The Journal of Sustainable Design and Educational Environment Research
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    • v.2 no.1
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    • pp.17-28
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    • 2002
  • The purpose of this study is to analyze the types of the usable space and its areal distribution for the sake of analogizing the planning criteria to be established when the elementary school is renovated. This study has been progressed with reference to the analysis of the drawings, situation analysis through the visiting, and materials of each elementary schools. As a result, the types of the usable space and its areal distribution of each school are different. So, it is an urgent problem what criteria are established on the types of the usable space and its areal distribution when the elementary school is renovated.

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THE INVERSION FORMULA OF THE STIELTJES TRANSFORM OF SPECTRAL DISTRIBUTION

  • Choi, Sang-Il
    • Journal of the Chungcheong Mathematical Society
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    • v.22 no.3
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    • pp.519-524
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    • 2009
  • In multivariate analysis, the inversion formula of the Stieltjes transform is used to find the density of a spectral distribution of random matrices of sample covariance type. Let $B_{n}\;=\;\frac{1}{n}Y_{m}^{T}T_{m}Y_{m}$ where $Ym\;=\;[Y_{ij}]_{m{\times}n}$ is with independent, identically distributed entries and $T_m$ is an $m{\times}m$ symmetric nonnegative definite random matrix independent of the $Y_{ij}{^{\prime}}s$. In the present paper, using the inversion formula of the Stieltjes transform, we will find the density function of the limiting distribution of $B_n$ away from zero.

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Re-exploring teaching and learning of probability and statistics using Excel

  • Lee, Seung-Bum;Park, Jungeun;Choi, Sang-Ho;Kim, Dong-Joong
    • Journal of the Korea Society of Computer and Information
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    • v.21 no.7
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    • pp.85-92
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    • 2016
  • The law of large numbers, central limit theorem, and connection among binomial distribution, normal distribution, and statistical estimation require dynamics of continuous visualization for students' better understanding of the concepts. During this visualization process, the differences and similarities between statistical probability and mathematical probability that students should observe need to be provided with the intermediate steps in the converging process. We propose a visualization method that can integrate intermediate processes and results through Excel. In this process, students' experiences with dynamic visualization help them to perceive that the results are continuously changed and extracted from multiple situations. Considering modeling as a key process, we developed a classroom exercise using Excel to estimate the population mean and standard deviation by using a sample mean computed from a collection of data out of the population through sampling.

Failure Zone Estimation from the correlation between the Temperature in Slope and the Soil Nail Strain (지중온도와 변형율과의 상관관계를 통한 활동영역의 추정)

  • Chang, Ki-Tae
    • Journal of the Korean Geophysical Society
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    • v.8 no.3
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    • pp.123-130
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    • 2005
  • It is necessary, in the light of the importance of long-term slope stability problem, to develop a simple method or tool which can figure out the possible failure zone resulted from weathering effect and other factors. The FBG sensor system is used to estimate the correlations between the temperature and the slope in Kimhae, and to find a failure zone in slopes effectively. This research is to seek for the correlation between the soil temperature distribution and the strain distribution in a active zone by analyzing the data from the in-situ measurement so that the possible failure zone should be well defined based on the correlation. For instance, the zone of high temperature fluctuation can be regarded as one of the possible sliding zone due to the weathering effect while the constant temperature depth of the ground, if exists would not be relatively affected by the weathering process.

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An Analytical Solution for Transient Temperature Distribution in Fillet Arc Welding Including the Effect of Molten Metal (용착 금속을 고려한 필릿 용접에서 온도 분포 예측을 위한 해석적 모델)

  • 정선국;조형석
    • Journal of Welding and Joining
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    • v.13 no.3
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    • pp.116-124
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    • 1995
  • This paper presents an analytical solution to predict the transient temperature distribution in fillet arc welding including the effect of molten metal. The solution is obtained by solving a transient three-dimensional heat conduction equation with convection boundary conditions on the surfaces of a plate, and mapping the infinite plate onto the fillet weld geometry with energy equation. The electric heat input on the fillet weld and on the infinite plate is assumed to have a combination of two bivariate Gaussian distribution. To check the validity of the solution. FCA welding experiments were performed under various welding conditions. The actual isotherms of the weldment cross-sections at various distances from the arc start point are compared with those of simulation result.

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Asymptotic Properties of Upper Spacings

  • Yun, Seok-Hoon
    • Journal of the Korean Statistical Society
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    • v.26 no.3
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    • pp.289-297
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    • 1997
  • It is well known that the spacings, the differences of two successive order statistics, in a random sample of size n from a distribution function F are independent and exponentially distributed if F is itself the exponential distribution. In this paper we obtain an asymptotically similar result on a fixed number of upper spacings as n .to. .infty. for a general F under the assumption that F is in the domain of attraction of some extreme value distribution. For a heavy or short tailed F, appropriate log transformations of the sample should be proceded to get the result. As a by-product, we also get that each upper spacing diverges in probability to .infty. and converges in probability to 0 as n .to. .infty. for a heavy and short tailed F, respectively, which is fully expected.

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COMPARISON STUDY OF BIVARIATE LAPLACE DISTRIBUTIONS WITH THE SAME MARGINAL DISTRIBUTION

  • Hong, Chong-Sun;Hong, Sung-Sick
    • Journal of the Korean Statistical Society
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    • v.33 no.1
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    • pp.107-128
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    • 2004
  • Bivariate Laplace distributions for which both marginal distributions and Laplace are discussed. Three kinds of bivariate Laplace distributions which are extended bivariate exponential distributions of Gumbel (1960) are introduced in this paper. These symmetrical distributions are compared with asymmetrical distributions of Kotz et al. (2000). Their probability density functions, cumulative distribution functions are derived. Conditional skewnesses and kurtoses are also defined. Their correlation coefficients are calculated and compared with others. We proposed bivariate random vector generating methods whose distributions are bivariate Laplace. With sample means and medians obtained from generated random vectors, variance and covariance matrices of means and medians are calculated and discussed with those of bivariate normal distribution.

Application of Multiple Imputation Method in Analyzing Data with Missing Continuous Covariates

  • Ghasemizadeh Tamar, S.;Ganjali, M.
    • The Korean Journal of Applied Statistics
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    • v.21 no.4
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    • pp.659-664
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    • 2008
  • Missing continuous covariates are pervasive in the use of generalized linear models for medical data. Multiple imputation is the most common and easy-to-do method of dealing with missing covariate data. However, there are always serious warnings in using this method. There should be concern to make imputed values more proper. In this paper, proper imputation from posterior predictive distribution is developed for implementing with arbitrary priors. We use empirical distribution of the posterior for approximating the posterior predictive distribution, to sample from it. This method is preferable in comparison with a presented imputation method of us which uses a full model to impute missing values using available software. The proposed methods are implemented on glucocorticoid data.

A Study on Parameters Affected the Fatigue Crack Growth in Steel Structure Members( II ) -The Effect of Surface Residual Stress for Crack Closure- (강구조 부재의 피로균열성장에 미치는 제인자에 관한 연구( II ) -표면잔류응력이 균열닫힘에 미치는 영향-)

  • Choi, Young Jae;Kyung, Kab Soo
    • Journal of Korean Society of Steel Construction
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    • v.8 no.3 s.28
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    • pp.3-11
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    • 1996
  • To investigate the effect of fatigue crack growth due to the surface residual stress, it is measured the residual stress distribution by x-ray diffraction at the crack tip each constant crack growth in the notch specimens, and quantitively assessed the effect of crack closure caused to the distribution of compressive stress at the crack tip from evaluating crack openning stress using the finite element analysis. It is concluded that the degree of the residual stress distribution at the crack tip is decreased with increasing the crack length. From the fact that it is similar to the crack openning stress ratio, it is found that the compressive residual stress distribution and size is related to the crack closure effect and surface residual stress field with propagating crack in the notch specimens depends on the stress intensity factor range at the crack tip.

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Changes of Distribution Coefficients of Cu, Cr, and As in Different Soil Matrix in a Laboratory Scale

  • Kang, Sung-Mo;Ra, Jong-Bum;Kim, Suk-Kuwon
    • Journal of the Korean Wood Science and Technology
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    • v.37 no.2
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    • pp.137-140
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    • 2009
  • Chromated copper arsenate (CCA), a long history of successful preservative, have raised environmental concerns. Adsorption characteristics of domestic soils for chromium, copper, and arsenic were assessed by measuring distribution coefficient ($K_d$) values of these metal components in a laboratory scale. The results revealed that $K_d$ values were higher in chromium, followed by arsenic and copper in soil matrix. Different soil matrixes resulted in varying mobilities of CCA components. The values of $K_d$ for all three metals increased with organic matter contents. The results suggest that the mobility of metal components may be very limited to the surface area adjacent to CCA-treated wood due to their fairly large distribution coefficient ($K_d$). However, the metal components would be persistent and accumulated in the soil, resulting in high chemical concentration in service area of treated wood.