• Title/Summary/Keyword: general distribution

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Design of Reliability Qualification Test Based on Performance Distribution at the Earlier Stage (초기 단계의 성능분포를 활용한 신뢰성 인증시험의 설계)

  • Jeong, Hai-Sung
    • Journal of Applied Reliability
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    • v.12 no.3
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    • pp.131-138
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    • 2012
  • A design of reliability qualification test based on performance distribution is developed. In general, the performance of an item degrades as the time goes by and the failure of an item occurs when the performance degradation reaches the pre-determined critical level. This article considers the reliability qualification test based on a more tightened critical value at the earlier stage to reduce the evaluation testing time and cost. A numerical example is provided to illustrate how to use the developed reliability qualification test.

Hypothesis Testing for New Scores in a Linear Model

  • Park, Young-Hun
    • Communications for Statistical Applications and Methods
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    • v.10 no.3
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    • pp.1007-1015
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    • 2003
  • In this paper we introduced a new score generating function for the rank dispersion function in a general linear model. Based on the new score function, we derived the null asymptotic theory of the rank-based hypothesis testing in a linear model. In essence we showed that several rank test statistics, which are primarily focused on our new score generating function and new dispersion function, are mainly distribution free and asymptotically converges to a chi-square distribution.

Bayesian Estimation of State-Space Model Using the Hybrid Monte Carlo within Gibbs Sampler

  • Park, Ilsu
    • Communications for Statistical Applications and Methods
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    • v.10 no.1
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    • pp.203-210
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    • 2003
  • In a standard Metropolis-type Monte Carlo simulation, the proposal distribution cannot be easily adapted to "local dynamics" of the target distribution. To overcome some of these difficulties, Duane et al. (1987) introduced the method of hybrid Monte Carlo(HMC) which combines the basic idea of molecular dynamics and the Metropolis acceptance-rejection rule to produce Monte Carlo samples from a given target distribution. In this paper, using the HMC within Gibbs sampler, an asymptotical estimate of the smoothing mean and a general solution to state space modeling in Bayesian framework is obtaineds obtained.

Noninformative priors for the reliability function of two-parameter exponential distribution

  • Kang, Sang-Gil;Kim, Dal-Ho;Lee, Woo-Dong
    • Journal of the Korean Data and Information Science Society
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    • v.22 no.2
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    • pp.361-369
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    • 2011
  • In this paper, we develop the reference and the matching priors for the reliability function of two-parameter exponential distribution. We derive the reference priors and the matching prior, and prove the propriety of joint posterior distribution under the general prior including the reference priors and the matching prior. Through the sim-ulation study, we show that the proposed reference priors match the target coverage probabilities in a frequentist sense.

A plan to harmonize the equipments of power distribution with its environment (배전설비의 환경조화방안)

  • Lee, Jae-Gwan;Kim, Sang-Yul
    • Proceedings of the KIEE Conference
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    • 1998.07c
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    • pp.1206-1209
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    • 1998
  • For 21th Century, the assignment of power distribution will be the expansion of equipments to supply electric power and harmony with its environment, in process of approving value consciousness of land, space, and the preservation of surroundings. This paper proposes a plan to match with the requirement about equipments, having ability to supply electric power, being harmonized itself with its surroundings by applying a general concept of "Amenity" when we choose an established form of power distribution.

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On an Approximation to the Distribution of Product of Independent Beta Variates

  • Hea Jung Kim
    • Communications for Statistical Applications and Methods
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    • v.1 no.1
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    • pp.81-86
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    • 1994
  • A Chi-square approximation to the distribution of product of independent Beta variates denoted by U is developed. The distribution is commonly used as a test criterion for the general linear hypothesis about the multivariate linear models. The approximation is obtained by fitting a logarithmic function of U to a Chi-square variate in terms of the first three moments. It is compared with the well known approximations due to Box(1949), Rao(1948), and Mudholkar and Trivedi(1980). It is found that the Chi-square approximation compares favorably with the other three approximations.

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Accelerated Life Tests under Uniform Stress Distribution (스트레스함수가 균등분포인 가속수명시험)

  • 원영철
    • Journal of the Korea Safety Management & Science
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    • v.2 no.2
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    • pp.71-83
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    • 2000
  • This paper presents accelerated life tests for Type I censoring data under probabilistic stresses. Probabilistic stress, $S_j$, is the random variable for stress influenced by test environments, test equipments, sampling devices and use conditions. The hazard rate, ,$theta_j$, is the random variable of environments and the function of probabilistic stress. Also it is assumed that the general stress distribution is uniform, the life distribution for the given hazard rate, $\theta$, is exponential and inverse power law model holds. In this paper, we obtained maximum likelihood estimators of model parameters and the mean life in use stress condition.

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The Proportional Likelihood Ratio Order for Lindley Distribution

  • Jarrahiferiz, J.;Mohtashami Borzadaran, G.R.;Rezaei Roknabadi, A.H.
    • Communications for Statistical Applications and Methods
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    • v.18 no.4
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    • pp.485-493
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    • 2011
  • The proportional likelihood ratio order is an extension of the likelihood ratio order for the non-negative absolutely continuous random variables. In addition, the Lindley distribution has been over looked as a mixture of two exponential distributions due to the popularity of the exponential distribution. In this paper, we first recalled the above concepts and then obtained various properties of the Lindley distribution due to the proportional likelihood ratio order. These results are more general than the likelihood ratio ordering aspects related to this distribution. Finally, we discussed the proportional likelihood ratio ordering in view of the weighted version of the Lindley distribution.

A Study on the Protective Coordination of Distribution Automation System under Loop Operation (배전자동화 계통의 루프 운전시 보호협조에 관한 연구)

  • Lee, Hee-Tae;Moon, Jong-Fil;Kim, Jae-Chul
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.58 no.7
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    • pp.1281-1286
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    • 2009
  • As a general radial configuration of power distribution system, the various researches have being studied to change a radial configuration to network one such as smart, intelligent and micro grid for loop operation. If a radial configuration changes to network, protective coordination comes to the biggest problem. When a typical protective algorithm is applied to loop distribution system protection, the interrupted section is expanded, therefore, reliability grows worse. This paper presents the new protective method being able to apply to loop distribution system with Distribution Automation System (DAS) which separate the minimal faulted section. Through contingency analysis of the sustained and momentary fault, we analyzed the influence for radial configuration and loop configuration using interrupted area and proved the effectiveness of proposed method.

Voltage Regulation Method Considering Load Variation Characteristics of High and Low Voltage Distribution Line in Distribution System (시간 불일치성을 고려한 배전계통 전압조정방법)

  • Kim, T.E.;Kim, C.S.;Kim, J.E.;Son, J.M.;Park, J.K.;Rho, D.S.;Kim, K.H.;Cho, J.H.
    • Proceedings of the KIEE Conference
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    • 2002.07a
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    • pp.115-117
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    • 2002
  • In general, it is supposed that load characteristics of high and low voltage distribution line are always coincidence. But in practical distribution system, voltage variation characteristics of high and low voltage distribution line are not same. Then in this paper, we proposes a voltage regulation method considering load variation characteristics of high and low voltage distribution line in distribution system.

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