• Title/Summary/Keyword: Property distribution

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A CHARACTERIZATION OF GAMMA DISTRIBUTION BY INDEPENDENT PROPERTY

  • Lee, Min-Young;Lim, Eun-Hyuk
    • Journal of the Chungcheong Mathematical Society
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    • v.22 no.1
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    • pp.1-5
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    • 2009
  • Let {$X_n,\;n{\geq}1}$ be a sequence of independent identically distributed(i.i.d.) sequence of positive random variables with common absolutely continuous distribution function(cdf) F(x) and probability density function(pdf) f(x) and $E(X^2)<{\infty}$. The random variables $\frac{X_i{\cdot}X_j}{(\Sigma^n_{k=1}X_k)^{2}}$ and $\Sigma^n_{k=1}X_k$ are independent for $1{\leq}i if and only if {$X_n,\;n{\geq}1}$ have gamma distribution.

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A Note on the Covariance Matrix of Order Statistics of Standard normal Observations

  • Lee, Hak-Myung
    • Communications for Statistical Applications and Methods
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    • v.7 no.1
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    • pp.285-290
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    • 2000
  • We noted a property of a stationary distribution on the matrix C, which is the covariance matrix of order statistics of standard normal distribution That is the sup norm of th powers of C is ee' divided by its dimension. The matrix C can be taken as a transition probability matrix in an acyclic Markov chain.

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A NEW FAMILY OF NEGATIVE QUADRANT DEPENDENT BIVARIATE DISTRIBUTIONS WITH CONTINUOUS MARGINALS

  • Han, Kwang-Hee
    • Journal of the Chungcheong Mathematical Society
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    • v.24 no.4
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    • pp.795-805
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    • 2011
  • In this paper, we study a family of continuous bivariate distributions that possesses the negative quadrant dependence property and the generalized negatively quadrant dependent F-G-M copula. We also develop the partial ordering of this new parametric family of negative quadrant dependent distributions.

The Comparative Study of Software Optimal Release Time Based on Weibull Distribution Property (와이블 분포 특성에 근거한 소프트웨어 최적 방출시기에 관한 비교 연구)

  • Kim, Hee-Cheul;Park, Hyoung-Keun
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.10 no.8
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    • pp.1903-1910
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    • 2009
  • In this paper, we were researched decision problem called an optimal release policies after testing a software system in development phase and transferring it to the user. The applied model of release time exploited infinite failure non-homogeneous Poisson process This infinite failure non-homogeneous Poisson process is a model which reflects the possibility of introducing new faults when correcting or modifying the software. The failure life-cycle distribution used the Weibull distribution which has the efficient various property which has the place efficient quality. Thus, optimal software release policies which minimize a total average software cost of development and maintenance under the constraint of satisfying a software reliability requirement becomes an optimal release policies. In a numerical example, after trend test applied and estimated the parameters using maximum likelihood estimation of inter-failure time data, estimated software optimal release time.

Probabilistic Estimation of Fully Coupled Blasting Pressure (밀장전 발파압력의 확률론적 예측)

  • Park, Bong-Ki;Lee, In-Mo;Kim, Dong-Hyun;Lee, Sang-Don
    • Proceedings of the Korean Geotechical Society Conference
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    • 2004.03b
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    • pp.391-398
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    • 2004
  • The propagation mechanism of a detonation pressure with fully coupled charge is clarified and the blasting pressure propagated in rock mass is derived from the application of shock wave theory. Probabilistic distribution is obtained by using explosion tests on emulsion and rock property tests on granite in Seoul and then the probabilistic distribution of the blasting pressure is derived from their properties. The probabilistic distributions of explosive properties and rock properties show a normal distribution so that the blasting pressure propagated in rock can be also regarded as a normal distribution. Parametric analysis was performed to pinpoint the most influential parameter that affects the blasting pressure and it was found that the detonation velocity is the most sensitive parameter. Moreover, uncertainty analysis was performed to figure out the effect of each parameter uncertainty on the uncertainty of blasting pressure. Its result showed that uncertainty of natural rock properties constitutes the main portion of blasting pressure uncertainty rather than that of explosive properties.

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Loss Minimization In Distribution Systems Using Reactive Tabu Search (Reactive Tabu Search 알고리즘을 이용한 배전계통의 손실 최소화)

  • 최상열;장경일;신명철
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.17 no.5
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    • pp.80-87
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    • 2003
  • Network reconfiguration in distribution systems is realized by changing the status of sectiona1izing switches, and is usually done for loss minimization or load balancing in the system This parer presents an approach for loss minization in distribution systems using reactive tabu search. Tabu search attempts to determine a better solution in the manner of a greatest-descent algorithm, but it can not give any guarantee for the convergence property. Reactive tabu search can give convergence property by using reaction and escape mechanism. Therefore, it can find global optimal solution regardless of initial system configuration. To demonstrate the validity of the proposed algorithm, numerical calculations are carried out the 32 bus system models.

A Service Scenario Development for Digital Comics Content using DRM Technology (DRM 기술을 활용한 디지털 만화 콘텐츠 서비스 시나리오 개발)

  • Oh, Sang-Hoon;Cho, Hyun-Joo;Kang, Ji-Hoon
    • The KIPS Transactions:PartD
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    • v.10D no.7
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    • pp.1213-1224
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    • 2003
  • In recently, digital comic content distribution was not stable for illegal distribution and the weak of intellectual property right in the internet. The research activities of suggest the distribution model and secure intellectual property right are going in international standard communities, not yet in Korea. As the basis of the research, the general framework of international projects and standards such as MPEG-21, IMPREMATUR, FILIGRANE was analysed. Targeting on the domain of digital comics industry, the digital comics distribution structure and business flow model are defined adapting secured distribution system, DRM. The detail content of this research consist of three themes. The first, survey and analysis of the international standard & leading DRM project's models. The second, suggestion of the service scenario on the digital comic content distribution. The third, suggestion of the model on the secured distribution of digital comics. Through this research targeting at the digital comics business, we found that standards technical items and requirements was well adapted into target domain, and would affect other domain in digital content industry.

A CHARACTERIZATION OF THE POWER FUNCTION DISTRIBUTION BY INDEPENDENT PROPERTY OF LOWER RECORD VALUES

  • Lim, Eun-Hyuk;Lee, Min-Young
    • Journal of the Chungcheong Mathematical Society
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    • v.26 no.2
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    • pp.269-273
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    • 2013
  • We prove a characterization of the power function distribution by lower record values. We prove that $F(x)=(\frac{x}{a})^{\alpha}$ for all $x$, 0 < $x$ < $a$, ${\alpha}$ > 0 and $a$ > 0 if and only if $\frac{X_{L(n)}}{X_{L(m)}}$ and $X_{L(m)}$ are independent for $1{\leq}m$ < $n$.

Study on the Relationships of Bending Moment-Corvature Based on Bond Property (부착특성을 고려한 휨모멘트-곡률 관계에 관한 연구)

  • 장일영
    • Proceedings of the Korea Concrete Institute Conference
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    • 1991.04a
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    • pp.81-85
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    • 1991
  • The object of this study is to propose the bending moment-curvature relationships based on the bond properties between concrete and steel for noncraking zone, and evaluate the flexural displacement of reinforced concrete members. The bond-slip relationship and the strain hardening effect of steel were taken into account in order to evaluate the spacing of the cracks and the curvature distribution. Calculated curvature distribution along the longitudinal axis was transformed into equivalent curvature distribution. The flexural displacement was calculated by means of double intergral of the equivalent curvature. Calculated values are in good agreement with the experimental data.

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An approach to improving the Lindley estimator

  • Park, Tae-Ryoung;Baek, Hoh-Yoo
    • Journal of the Korean Data and Information Science Society
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    • v.22 no.6
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    • pp.1251-1256
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    • 2011
  • Consider a p-variate ($p{\geq}4$) normal distribution with mean ${\theta}$ and identity covariance matrix. Using a simple property of noncentral chi square distribution, the generalized Bayes estimators dominating the Lindley estimator under quadratic loss are given based on the methods of Brown, Brewster and Zidek for estimating a normal variance. This result can be extended the cases where covariance matrix is completely unknown or ${\Sigma}={\sigma}^2I$ for an unknown scalar ${\sigma}^2$.