• Title/Summary/Keyword: bivariate random censored model

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System Reliability Estimation in Bivariate Pareto Model Affected by Common Stress : Bivariate Random Censored Data Case

  • Cho, Jang-Sik
    • Journal of the Korean Data and Information Science Society
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    • v.16 no.4
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    • pp.791-799
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    • 2005
  • We consider two components parallel system in which the lifetimes have the bivariate Pareto model with bivariate random censored data. We assume that bivariate Pareto model is affected by common stress which is independent of the lifetimes of the components. We obtain estimators for the system reliability based on likelihood function and relative frequency. Also we construct approximated confidence intervals for the reliability based on maximum likelihood estimator and relative frequency estimator, respectively. Finally we present a numerical study.

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Test for Independence in Bivariate Pareto Model with Bivariate Random Censored Data

  • Cho, Jang-Sik;Kwon, Yong-Man;Choi, Seung-Bae
    • Journal of the Korean Data and Information Science Society
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    • v.15 no.1
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    • pp.31-39
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    • 2004
  • In this paper, we consider two components system which the lifetimes follow bivariate pareto model with bivariate random censored data. We assume that the censoring times are independent of the lifetimes of the two components. We develop large sample test for testing independence between two components. Also we present a simulation study which is the test based on asymptotic normal distribution in testing independence.

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Test for Independence in Bivariate Weibull Model under Bivariate Random Censorship

  • Cho, Jang-Sik;Cho, Kil-Ho;Lee, Woo-Dong
    • Journal of the Korean Data and Information Science Society
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    • v.14 no.4
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    • pp.789-797
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    • 2003
  • In this paper, we consider two components system which have bivariate weibull model with bivariate random censored data. We proposed large sample test for independence based on maximum likelihood estimator and relative frequency estimator, respectively. Also we derive asymptotic properties for the large sample tests and present a numerical study.

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Reliability Estimation in Bivariate Pareto Model with Bivariate Type I Censored Data

  • Cho, Jang-Sik;Cho, Kil-Ho;Kang, Sang-Gil
    • Journal of the Korean Data and Information Science Society
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    • v.14 no.4
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    • pp.837-844
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    • 2003
  • In this paper, we obtain the estimator of system reliability for the bivariate Pareto model with bivariate type 1 censored data. We obtain the estimators and approximated confidence intervals of the reliability for the parallel system based on likelihood function and the relative frequency, respectively. Also we present a numerical example by giving a data set which is generated by computer.

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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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    • v.14 no.2
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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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System Reliability from Common Random Stress in a Type II Bivariate Pareto Model with Bivariate Type I Censored Data

  • Cho, Jang-Sik;Choi, Seung-Bae
    • Journal of the Korean Data and Information Science Society
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    • v.15 no.3
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    • pp.655-662
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    • 2004
  • In this paper, we assume that strengths of two components system follow a type II bivariate Pareto model with bivariate type I censored data. And these two components are subjected to a common stress which is independent of the strengths of the components. We obtain estimators for the system reliability based on likelihood function and relative frequency, respectively. Also we construct approximated confidence intervals for the reliability based on maximum likelihood estimator and relative frequency estimator, respectively. Finally we present a numerical study.

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Inference for Bivariate Exponential Model with Bivariate Random Censored Data (이변량 임의 중단된 이변량지수 모형에 대한 추론)

  • Cho, Jang-Sik;Shin, Im-Hee
    • Journal of the Korean Data and Information Science Society
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    • v.10 no.1
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    • pp.37-45
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    • 1999
  • In this paper, we consider two components system having Marshall-Olkin's bivariate exponential model. For the bivariate random censorship, we obtain maximum likelihood estimators of parameters and system reliability. And we propose the methods of homogeniety and independence tests using asymptotic normality. Also we compute the estimators and p-values of the testings through Monte Carlo simulation.

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Reliability Estimation in Bivariate Pareto Model with Bivariate Type I Censored Data

  • Cho, Jang-Sik;Cho, Kil-Ho;Kang, Sang-Gil
    • 한국데이터정보과학회:학술대회논문집
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    • 2003.10a
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    • pp.31-38
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    • 2003
  • In this paper, we obtain the estimator of system reliability for the bivariate Pareto model with bivariate type 1 censored data. We obtain the estimators and approximated confidence intervals of the reliability for the parallel system based on likelihood function and the relative frequency, respectively. Also we present a numerical example by giving a data set which is generated by computer.

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Reliability for Series and Parallel Systems in Bivariate Pareto Model : Random Censorship Case

  • Cho, Jang-Sik;Cho, Kil-Ho;Lee, Woo-Dong
    • Journal of the Korean Data and Information Science Society
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    • v.14 no.3
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    • pp.461-469
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    • 2003
  • In this paper, we consider the series and parallel system which include two components. We assume that the lifetimes of two components follow the bivariate Pareto model with random censored data. We obtain the estimators and approximated confidence intervals of the reliabilities for series and parallel systems based on maximum likelihood estimator and the relative frequency, respectively. Also we present a numerical example by giving a data set which is generated by computer.

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Reliability for Series System in Bivariate Weibull Model under Bivariate Random Censorship

  • Cho, Jang-Sik
    • Journal of the Korean Data and Information Science Society
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    • v.15 no.1
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    • pp.219-226
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    • 2004
  • In this paper, we consider two-components system which the lifetimes have a bivariate Weibull distribution with bivariate random censored data. Here the bivariate censoring times are independent of the lifetimes of the components. We obtain estimators and approximated confidence intervals for the reliability of series system based on likelihood function and relative frequency, respectively. Also we present a numerical study.

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