• 제목/요약/키워드: Bivariate Distribution

검색결과 209건 처리시간 0.038초

필릿 용접 공정에서 온도 분포 예측을 위한 해석적 모델 (Analytical Solution for Transient Temperature Distribution in Fillet Arc Welding)

  • 정선국;조형석
    • Journal of Welding and Joining
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    • 제13권2호
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    • pp.68-81
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    • 1995
  • This paper presents an analytical solution to predict the transient temperature distribution in fillet arc welding. The analytical solution is obtained by solving a transient three -dimensional heat conduction equation with convection boundary conditions on the surfaces of an infinite plate with finite thicknesses, and mapping an infinite plate onto the fillet weld geometry with energy equation. The electric arc heat input on fillet weld and on infinite plate is assumed to have a traveling bivariate Gaussian distribution. To check the validity of the solution, GTA and 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. As the result shows a satisfactory accuracy, this analytical solution can be used to predict the transient temperature distribution in the fiIIet weld of finite thickness under a moving bivariate Gaussian distributed heat source. The simplicity and short calculation time of the analytical solution provides rationales to use the analytical solution for modeling the welding control systems or for an optimization tool of welding process parameters.

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Large Sample Test for Independence in the Bivariate Pareto Model with Censored Data

  • Cho, Jang-Sik;Lee, Jea-Man;Lee, Woo-Dong
    • Journal of the Korean Data and Information Science Society
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    • 제14권2호
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    • pp.377-383
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    • 2003
  • In this paper, we consider two components system in which the lifetimes follow the bivariate Pareto model with random censored data. We assume that the censoring time is independent of the lifetimes of the two components. We develop large sample tests for testing independence between two components. Also we present simulated study which is the test based on asymptotic normal distribution in testing independence.

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Nonparametric Estimation of the Bivariate Survival Function under Koziol-Green Model I

  • Ahn, Choon-Mo;Park, Sang-Gue
    • Journal of the Korean Data and Information Science Society
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    • 제14권4호
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    • pp.975-982
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    • 2003
  • In this paper we considered the problem of estimating the bivariate survival distribution of the random vector (X, Y) when Y may be subject to random censoring but X is always uncensored. Adapting conditional Koziol-Green model, simplified estimator for bivariate survival function is proposed. We perform simulation to compare the proposed estimator with popular estimators and discussed the performance of it.

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Large Sample Tests for Independence in Bivariate Pareto Model with Censored Data

  • 조장식;이재만;이우동
    • 한국데이터정보과학회:학술대회논문집
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    • 한국데이터정보과학회 2003년도 춘계학술대회
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    • pp.121-126
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    • 2003
  • In this paper, we consider two-components system which the lifetimes follow bivariate pareto model with censored data. We develop large sample tests for testing independence between two-components. Also we present simulated study which is the test based on asymptotic normal distribution in testing independence.

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이변량 지수모형에서 병렬시스템의 신뢰도 추정 : 이변량 1종 중단 자료이용 (The Reliability Estimation of Parallel System in Bivariate Exponential Model : Using Bivariate Type 1 Censored Data)

  • 조장식;김희재
    • 품질경영학회지
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    • 제25권4호
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    • pp.79-87
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    • 1997
  • In this paper, we obtain maximum likelihood estimator(MLE) of a parallel system reliability for the Marshall and Olkin's bivariate exponential model with birariate type 1 consored data. The asymptotic normal distribution of the estimator is obtained. Also we construct an a, pp.oximate confidence interval for the reliability based on MLE. We present a numerical study for obtaining MLE and a, pp.oximate confidence interval of the reliability.

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ON THE LIMIT BEHAVIOR OF EXTENDED NEGATIVE QUADRANT DEPENDENCE

  • Baek, Jong-Il;Lee, Gil-Hwan
    • 호남수학학술지
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    • 제32권4호
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    • pp.689-699
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    • 2010
  • We discuss in this paper the notions of extended negative quadrant dependence and its properties. We study a class of bivariate uniform distributions having extended negative quadrant dependence, which is derived by generalizing the uniform representation of a well-known Farlie-Gumbel-Morgenstern distribution. Finally, we also study the limit behavior on the extended negative quadrant dependence.

Accelerated Life Testings for System based on a Bivariate Exponential Model

  • Park, Byung-Gu;Yoon, Sang-Chul
    • Communications for Statistical Applications and Methods
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    • 제6권2호
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    • pp.423-432
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    • 1999
  • Accelerated life testing of product is commonly used to reduced test time and costs. In this papers is considered when the product is a two component system with lifetimes following the bivariate exponential distribution of Sarkar(1987) using inverse power rule model. Also we derived the maximum likelihood estimators of parameters for asymptotic normality. We compare the mean square error of the proposed estimator for the life distribution under use conditions stree through Monte Carlo simulation.

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Estimation of a Bivariate Exponential Distribution with a Location Parameter

  • 홍연웅;권용만
    • 한국데이터정보과학회:학술대회논문집
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    • 한국데이터정보과학회 2002년도 춘계학술대회
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    • pp.89-95
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    • 2002
  • This paper considers the problem of estimating paramaters of the bivariate exponential distribution with a loaction parameter for a two-component shared parallel system using component data from system-level life test terminated at the time of the prespecified number of system failure. In the system-level life testing, there are three patterns of failure types; 1) both component failed 2) both component censored 3) one is failed and the other is censored. In the third case, we assume that the failure time might be known or unknown. The maximum likelihood estimators are obtained for the case of known/unknown failure time when the other component is censored.

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Asymptotic Normality of PL estimator for interval censored bivariate life-times

  • Kang, Shin-Soo
    • Communications for Statistical Applications and Methods
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    • 제7권1호
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    • pp.245-256
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    • 2000
  • Large sample properties of Life-Table estimator are discussed for interval censored bivariate survival data. We restrict out attention to the situation where response times within pairs are not distinguishable and the univariate survival distribution is the same for any individual within any pair.

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Estimation of the Block and Basu model for system level life testing with censored data

  • Jeong, In-Ho;Cho, Kil-Ho;Cho, Jang-Sik
    • Journal of the Korean Data and Information Science Society
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    • 제20권5호
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    • pp.941-948
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    • 2009
  • We consider a life testing experiment in which several two component shared parallel system are put on test, and the test is terminated at a specified number of system failures. The bivariate data obtained from such a system level life testing can be classified into three classes: (1) the case of failed two components with known failure times, (2) the case of one censored component and the other failed component of which the failure time might be known or unknown, (3) the case of censored two components. In this thesis, the maximum likelihood estimators of parameters for Block and Basu bivariate exponential distribution under above censoring scheme are obtained. And the results of comparative studies are presented.

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