• Title/Summary/Keyword: Distribution limit

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A Note on the Chi-Square Test for Multivariate Normality Based on the Sample Mahalanobis Distances

  • Park, Cheolyong
    • Journal of the Korean Statistical Society
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    • v.28 no.4
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    • pp.479-488
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    • 1999
  • Moore and Stubblebine(1981) suggested a chi-square test for multivariate normality based on cell counts calculated from the sample Mahalanobis distances. They derived the limiting distribution of the test statistic only when equiprobable cells are employed. Using conditional limit theorems, we derive the limiting distribution of the statistic as well as the asymptotic normality of the cell counts. These distributions are valid even when equiprobable cells are not employed. We finally apply this method to a real data set.

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A weakly negative structure of stochastic ordering

  • Baek, Jong-Il
    • Bulletin of the Korean Mathematical Society
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    • v.34 no.2
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    • pp.211-223
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    • 1997
  • Lehmann [13] introduced the concept of positive(negative) dependence together with some other dependence concepts. Since then, a great numerous multivariate inequalities have been obtained. For a references of available results, see Karlin and Rinott [12], Ebrahimi and Ghosh [8] and Sampson [14]. Whereas a number of dependence notions exist for multivariate processes (see Friday [10]), recently, Ebrahimi [7] introduced some new dependence concepts of the hitting times of stochastic processes.

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USER MOBILITY AND CHANNEL HOLDING TIME MODELING IN MICROCELLULAR SYSTEMS

  • Kim, Sehun;Lee, Ki-Dong
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 1998.10a
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    • pp.186-189
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    • 1998
  • In this paper, we provide a mathematical formulation to describe the random mobility of users in cellular radio systems. With this, we can also study tile cell sojourn time (CST) distribution as well as the channel holding time (CHT) distribution. The study on user mobility enables to improve the resource management in cellular radio systems. We provide a versatile analysis tool that improves the limit of simplified analyses.

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SOME LIMIT THEOREMS FOR POSITIVE RECURRENT AGE-DEPENDENT BRANCHING PROCESSES

  • Kang, Hye-Jeong
    • Journal of the Korean Mathematical Society
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    • v.38 no.1
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    • pp.25-35
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    • 2001
  • In this paper we consider an age dependent branching process whose particles move according to a Markov process with continuous state space. The Markov process is assumed to the stationary with independent increments and positive recurrent. We find some sufficient conditions for he Markov motion process such that the empirical distribution of the positions converges to the limiting distribution of the motion process.

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A study on the transient temperature distribution for spot welds (점용접에 있어서 온도분포의 변화에 관한 연구)

  • 왕지석;조용배
    • Journal of Advanced Marine Engineering and Technology
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    • v.12 no.1
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    • pp.37-45
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    • 1988
  • A calculating method of transient temperature distribution due to spot welding of thin plates is studied in this paper. Considering the contact stress between upper and lower plate and temperature-dependence of specific resistance and elastic limit of base metal, the model of calorific density of heat source was decided. Using 2-dimensional polar coordinates system, the governing equation of heat transfer was developed. The thermal cycles of various points were recorded using C-A thermocouples during spot welding procedure for mild steel plates of 1mm thickness, and those results were compared with the results of calculations presented in this paper.

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A Study on the Protection of Electric Shock, in Low Voltage (저전압에서의 감전보호에 관한 연구)

  • 이재인
    • Journal of the Korean Society of Safety
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    • v.4 no.1
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    • pp.83-90
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    • 1989
  • Recently, due to the increase of 220V distribution lines and equipments preventive measures to cope with several kinds of electric accidents is revealed as an urgent problem. This study investigates the following matters; the cause and present condition of e1ectric shock accident, the influence of electric shock on human body, the safety limit of electric shock, the method of distribution voltage, the insulation of electrical load apparatus, the teachnics of electric shock prevention and foreign materials concerned with this subject etc. This paper present the fundamental cause of electric shock and syntbetic preventive counter measure of electric shock, too.

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A Novel Algorithm for Reducing Restoration Time in Smart Distribution Systems Utilizing Reclosing Dead Time

  • Hussain, Akhtar;Choi, Myeon-Song;Lee, Seung-Jae
    • Journal of Electrical Engineering and Technology
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    • v.9 no.6
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    • pp.1805-1811
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    • 2014
  • After an occurrence of a fault in any distribution system, it is desired to limit the effects of the fault to smallest possible area and restore the un-faulty areas as soon as possible. Due the advancements in communication technologies, this task can be achieved in multiple efficient ways. In order to decrease the restoration time in the Smart Grid Distribution Management System (SDMS) a communication based algorithm is proposed in this paper, in which the restoration can be done during reclosing. This paper also analyzes various communication failures with power failures cases including the entire network of communication failures. Results of all these cases have been verified by doing simulations.

Optimal Routing of Distribution Network Considering Reliability Indices (신뢰도 지수를 고려한 배전계통의 최적 전력전송경로 결정)

  • 신동환;노병권;김진오
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.48 no.9
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    • pp.1073-1080
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    • 1999
  • Optimal routing of distribution networks can be attained by keeping the line power capacity limit to handle load requirements, acceptable voltage at customer loads, and the reliability indices such as SAIFI, SAIDI, CAIDI, and ASAI limits. This method is composed of optimal loss reduction and optimal reliability cost reduction. The former is solved relating to the conductor resistance of all alternative routes, and the latter is solved relating to the failure rate and duration of each alternative route. The routing considering optimal loss only and both optimal loss and optimal reliability cost are compared in this paper. The case studies with 10 and 24 bus distribution networks showed that reliability cost should be considered as well as loss reduction to achieve the optimal routing in the distribution networks.

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New Fault Location Algorithms by Direct Analysis of Three-Phase Circuit Using Matrix Inverse Lemma for Unbalanced Distribution Power Systems

  • Park, Myeon-Song;Lee, Seung-Jae
    • KIEE International Transactions on Power Engineering
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    • v.3A no.2
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    • pp.79-84
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    • 2003
  • Unbalanced systems, such as distribution systems, have difficulties in fault locations due to single-phase laterals and loads. This paper proposes new fault locations developed by the direct three-phase circuit analysis algorithms using matrix inverse lemma for the line-to-ground fault case and the line-to-line fault case in unbalanced systems. The fault location for balanced systems has been studied using the current distribution factor, by a conventional symmetrical transformation, but that for unbalanced systems has not been investigated due to their high complexity. The proposed algorithms overcome the limit of the conventional algorithm using the conventional symmetrical transformation, which requires the balanced system and are applicable to any power system but are particularly useful for unbalanced distribution systems. Their effectiveness has been proven through many EMTP simulations.

Estimation of Resistance Bias Factors for the Ultimate Limit State of Aggregate Pier Reinforced Soil (쇄석다짐말뚝으로 개량된 지반의 극한한계상태에 대한 저항편향계수 산정)

  • Bong, Tae-Ho;Kim, Byoung-Il;Kim, Sung-Ryul
    • Journal of the Korean Geotechnical Society
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    • v.35 no.6
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    • pp.17-26
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    • 2019
  • In this study, the statistical characteristics of the resistance bias factors were analyzed using a high-quality field load test database, and the total resistance bias factors were estimated considering the soil uncertainty and construction errors for the application of the limit state design of aggregate pier foundation. The MLR model by Bong and Kim (2017), which has a higher prediction performance than the previous models was used for estimating the resistance bias factors, and its suitability was evaluated. The chi-square goodness of fit test was performed to estimate the probability distribution of the resistance bias factors, and the normal distribution was found to be most suitable. The total variability in the nominal resistance was estimated including the uncertainty of undrained shear strength and construction errors that can occur during the aggregate pier construction. Finally, the probability distribution of the total resistance bias factors is shown to follow a log-normal distribution. The parameters of the probability distribution according to the coefficient of variation of total resistance bias factors were estimated by Monte Carlo simulation, and their regression equations were proposed for simple application.