• Title/Summary/Keyword: Distribution Order

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A new flexible Weibull distribution

  • Park, Sangun;Park, Jihwan;Choi, Youngsik
    • Communications for Statistical Applications and Methods
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    • v.23 no.5
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    • pp.399-409
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    • 2016
  • Many of studies have suggested the modifications on Weibull distribution to model the non-monotone hazards. In this paper, we combine two cumulative hazard functions and propose a new modified Weibull distribution function. The newly suggested distribution will be named as a new flexible Weibull distribution. Corresponding hazard function of the proposed distribution shows flexible (monotone or non-monotone) shapes. We study the characteristics of the proposed distribution that includes ageing behavior, moment, and order statistic. We also discuss an estimation method for its parameters. The performance of the proposed distribution is compared with existing modified Weibull distributions using various types of hazard functions. We also use real data example to illustrate the efficiency of the proposed distribution.

Distribution Pricing Methodology for Korean Wholesale Electricity Market (도매경쟁 전력시장에서의 배전요금 산정방식)

  • Kim, C.S.;Rhee, C.H.;Oh, T.K.;Park, B.Y.;Kim, Y.W.;Kim, Y.C.
    • Proceedings of the KIEE Conference
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    • 2001.11b
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    • pp.195-197
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    • 2001
  • The Distribution Network costs are currently part of the total cost of KEPCO covered through aggregated final consumer tariffs. There is no unbundling of Power Sale and Distribution Network activities. This situation will change with the introduction of competition in supply. The Distribution Network Service Providers will have to provide access and set explicitly Distribution Service Charges in order to enable the Power Sales Businesses to convey electricity to their consumers using the Distribution Network for these purposes. The Distribution Service Charges will be made up of Distribution Connection Charge and Distribution Use of Network Charge. The Distribution Losses will be considered through Distribution Loss Factors and included in the electricity purchased by the Power Sales Businesses.

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On the Wave Drift Forces Acting on the Fixed 2-Dimensional Cylinder (고정 2차원 주상분에 작용하는 파랑표류력)

  • Hong, Seok-Won;Lee, Sang-Mu;Yang, Seung-Il
    • 한국기계연구소 소보
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    • s.14
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    • pp.135-144
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    • 1985
  • A method is described to obtain the first order force and second order steady force on the fixed two dimensional submerged or semisubmerged cylinders at infinite depth of water due to regular waves. The first order diffraction wave velocity potential which describes the flow diffracted by a body is obtained numerically using source distribution method on the mean wetted surface. And a technique to remove the irregular frequency phenomena of the source distribution method is also applied. The second order steady force is calculates by means of direct integration of the pressures on the body as derived from the first order velocity potential and is also computed by means of reflection wave height derives from momentum conservation theory. The results are compared with those of published works, and show good agreement.

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On the Dependence Structure of Concornitants of Order Statistics

  • Song-Ho Kim;Tae-Sung Kim
    • Journal of the Korean Statistical Society
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    • v.25 no.2
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    • pp.255-263
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    • 1996
  • Let $(X_{1j}, X_{2j}, … , X_{nj}, Y_j/)$j = 1, 2, … , n, be a sample of size n on an (m + l)-dimensional vector $(X_1, X_2, … , X_m, Y)$, m .geq. 1. If $Y_{(r)}$ denote the rth order statistic from Y, then the $X_{[r:n]}$ paired with $Y_(r)$ is termed the concomitant vector of the order statistics. The general distributions of concomitant of order statistics will be found. The mean, variance and covariance of$X_{[r:n]}$ Will be studied. Then we will apply the results to the multivariate normal variate case.e.

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Thermal buckling of functionally graded plates using a n-order four variable refined theory

  • Abdelhak, Z.;Hadji, L.;Daouadji, T.H.;Bedia, E.A.
    • Advances in materials Research
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    • v.4 no.1
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    • pp.31-44
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    • 2015
  • This paper presents a simple n-order four variable refined theory for buckling analysis of functionally graded plates. By dividing the transverse displacement into bending and shear parts, the number of unknowns and governing equations of the present theory is reduced, and hence, makes it simple to use. The present theory is variationally consistent, uses the n-order polynomial term to represent the displacement field, does not require shear correction factor, and eliminates the shear stresses at the top and bottom surfaces. A power law distribution is used to describe the variation of volume fraction of material compositions. Equilibrium and stability equations are derived based on the present n-order refined theory. The non-linear governing equations are solved for plates subjected to simply supported boundary conditions. The thermal loads are assumed to be uniform, linear and non-linear distribution through-the-thickness. The effects of aspect and thickness ratios, gradient index, on the critical buckling are all discussed.

On the second order property of elliptical multivariate regular variation

  • Moosup Kim
    • Communications for Statistical Applications and Methods
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    • v.31 no.4
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    • pp.459-466
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    • 2024
  • Multivariate regular variation is a popular framework of multivariate extreme value analysis. However, a suitable parametric model needs to be introduced for efficient estimation of its spectral measure. In such a view, elliptical distributions have been employed for deriving such models. On the other hand, the second order behavior of multivariate regular variation has to be specified for investigating the property of the estimator. This paper derives such a behavior by imposing a widely adopted second order regular variation condition on the representation of elliptical distributions. As result, the second order variation for the convergence to spectral measure is characterized by a signed measure with a regular varying index. Moreover, it leads to the asymptotic bias of the estimator. For demonstration, multivariate t-distribution is considered.

Size Distribution and Temperature Dependence of Magnetic Anisotropy Constant in Ferrite Nanoparticles

  • Yoon, Sunghyun
    • Proceedings of the Korean Magnestics Society Conference
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    • 2012.11a
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    • pp.104-105
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    • 2012
  • The temperature dependence of the effective magnetic anisotropy constant K(T) of ferrite nanoparticles is obtained based on the measurements of SQUID magnetometry. For this end, a very simple but intuitive and direct method for determining the temperature dependence of anisotropy constant K(T) in nanoparticles is introduced in this study. The anisotropy constant at a given temperature is determined by associating the particle size distribution f(r) with the anisotropy energy barrier distribution $f_A(T)$. In order to estimate the particle size distribution f(r), the first quadrant part of the hysteresis loop is fitted to the classical Langevin function weight-averaged with the log?normal distribution, slightly modified from the original Chantrell's distribution function. In order to get an anisotropy energy barrier distribution $f_A(T)$, the temperature dependence of magnetization decay $M_{TD}$ of the sample is measured. For this measurement, the sample is cooled from room temperature to 5 K in a magnetic field of 100 G. Then the applied field is turned off and the remanent magnetization is measured on stepwise increasing the temperature. And the energy barrier distribution $f_A(T)$ is obtained by differentiating the magnetization decay curve at any temperature. It decreases with increasing temperature and finally vanishes when all the particles in the sample are unblocked. As a next step, a relation between r and $T_B$ is determined from the particle size distribution f(r) and the anisotropy energy barrier distribution $f_A(T)$. Under the simple assumption that the superparamagnetic fraction of cumulative area in particle size distribution at a temperature is equal to the fraction of anisotropy energy barrier overcome at that temperature in the anisotropy energy barrier distribution, we can get a relation between r and $T_B$, from which the temperature dependence of the magnetic anisotropy constant was determined, as is represented in the inset of Fig. 1. Substituting the values of r and $T_B$ into the $N{\acute{e}}el$-Arrhenius equation with the attempt time fixed to $10^{-9}s$ and measuring time being 100 s which is suitable for conventional magnetic measurement, the anisotropy constant K(T) is estimated as a function of temperature (Fig. 1). As an example, the resultant effective magnetic anisotropy constant K(T) of manganese ferrite decreases with increasing temperature from $8.5{\times}10^4J/m^3$ at 5 K to $0.35{\times}10^4J/m^3$ at 125 K. The reported value for K in the literatures is $0.25{\times}10^4J/m^3$. The anisotropy constant at low temperature region is far more than one order of magnitude larger than that at 125 K, indicative of the effects of inter?particle interaction, which is more pronounced for smaller particles.

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Diagnosis of Lead Time Demand Based on the Characteristics of Negative Binomial Distribution (음이항분포의 특성을 이용한 조달기간 수요 분석)

  • Ahn Sun-Eung;Kim Woo-Hyun
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.28 no.2
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    • pp.146-151
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    • 2005
  • Some distributions have been used for diagnosing the lead time demand distribution in inventory system. In this paper, we describe the negative binomial distribution as a suitable demand distribution for a specific retail inventory management application. We here assume that customer order sizes are described by the Poisson distribution with the random parameter following a gamma distribution. This implies in turn that the negative binomial distribution is obtained by mixing the mean of the Poisson distribution with a gamma distribution. The purpose of this paper is to give an interpretation of the negative binomial demand process by considering the sources of variability in the unknown Poisson parameter. Such variability comes from the unknown demand rate and the unknown lead time interval.

The Open Policy of Chinese Distribution Market and Counterplan of Korean Firms (중국의 유통시장 개방정책과 한국기업의 대응전략)

  • Kang, Young-Moon
    • International Commerce and Information Review
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    • v.8 no.3
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    • pp.277-297
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    • 2006
  • Joined WTO, China has revised or removed continuously some of existing enter barriers which have been protecting Chinese distribution market. Chinese government intend to open completely it's distribution market in 2007. Such as the open policy of Chinese distribution impact on Korean firms which invest in China. in order to occupy China's market, Korean firms needs to prepare counterplan on change of China's distribution environments. China's distribution environment is uncertain on account of remaining communism system even though opening it's distribution market. The purpose of this paper is to suggest diverse counterplan of Korean firms and answer how Korean firms can enter the China's distribution market successfully. through exmaninig how China's distribution channel is formulated and implemented. this study exhibits a model for strategy of Korean firms and shows implementations schemes.

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Diagnosis of Lead Time Demand Based on the Characteristics of Negative Binomial Distribution (음이항분포의 특성을 이용한 조달기간 수요 분석)

  • Ahn, Sun-Eung;Kim, Woo-Hyun
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.28 no.4
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    • pp.79-84
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    • 2005
  • Some distributions have been used for diagnosing the lead time demand distribution in inventory system. In this paper, we describe the negative binomial distribution as a suitable demand distribution for a specific retail inventory management application. We here assume that customer order sizes are described by the Poisson distribution with the random parameter following a gamma distribution. This implies in turn that the negative binomial distribution is obtained by mixing the mean of the Poisson distribution with a gamma distribution. The purpose of this paper is to give an interpretation of the negative binomial demand process by considering the sources of variability in the unknown Poisson parameter. Such variability comes from the unknown demand rate and the unknown lead time interval.