• Title/Summary/Keyword: Distribution Information

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A Note on Estimating Parameters in The Two-Parameter Weibull Distribution

  • Rahman, Mezbahur;Pearson, Larry M.
    • Journal of the Korean Data and Information Science Society
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    • v.14 no.4
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    • pp.1091-1102
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    • 2003
  • The Weibull variate is commonly used as a lifetime distribution in reliability applications. Estimation of parameters is revisited in the two-parameter Weibull distribution. The method of product spacings, the method of quantile estimates and the method of least squares are applied to this distribution. A comparative study between a simple minded estimate, the maximum likelihood estimate, the product spacings estimate, the quantile estimate, the least squares estimate, and the adjusted least squares estimate is presented.

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Asymptotic Distribution of a Nonparametric Multivariate Test Statistic for Independence

  • Um, Yong-Hwan
    • Journal of the Korean Data and Information Science Society
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    • v.12 no.1
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    • pp.135-142
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    • 2001
  • A multivariate statistic based on interdirection is proposed for detecting dependence among many vectors. The asymptotic distribution of the proposed statistic is derived under the null hypothesis of independence. Also we find the asymptotic distribution under the alternatives contiguous to the null hypothesis, which is needed for later use of computing relative efficiencies.

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Estimations in a Generalized Uniform Distribution

  • Lee, Chang-Soo
    • Journal of the Korean Data and Information Science Society
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    • v.11 no.2
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    • pp.319-325
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    • 2000
  • In this paper, we shall derive MLE's, modified MLE, MRE and UMVUE's of the shape and scale parameters in a generalized uniform distribution, and propose several estimators for the right-tail probability in a generalized uniform distribution using the proposed estimators for the shape and scale parameters. And we shall compare exactly MSE of the proposed estimators for the shape and the scale parameters, and compare numerically efficiencies for the several proposed estimators of the right-tail probability in a generalized uniform distribution by Monte Caslo methods.

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A Note on the Simple Chi-Squared Test of Multivariate Normality

  • Park, Cheol-Yong
    • Journal of the Korean Data and Information Science Society
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    • v.15 no.2
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    • pp.423-430
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    • 2004
  • We provide the exact form of a Rao-Robson version of the chi-squared test of multivariate normality suggested by Park(2001). This test is easy to apply in practice since it is easily computed and has a limiting chi-squared distribution under multivariate normality. A self-contained formal argument is provided that it has the limiting chi-squared distribution. A simulation study is provided to study the accuracy, in finite samples, of the limiting distribution. Finally, a simulation study in a nonnormal distribution is conducted in order to compare the power of our test with those of other popular normality tests.

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An applicable Key Distribution and Authentication Protocol in Personal Communication Networks (개인 통신망에서 적용가능한 인증 및 키분배 프로토콜)

  • 송희삼;전문석
    • Proceedings of the Korea Institutes of Information Security and Cryptology Conference
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    • 1995.11a
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    • pp.331-337
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    • 1995
  • In this paper, We present that protocols have already proposed an applicable key distribution and authentication protocol based discrete logarithm and prime-factorization problem in PCN(Personal Communication Network) is anaysised. We newly propose identiity-based protocol using smart card. This proposed potocol is that Fiat-Shamir identification scheme and a new key distribution scheme based on Fiat-Shamir identification scheme are joined. Proposed protocol is compared with suiting protocols with respect to security and efficiency to evalate performance, so its calculation is reduced in key distribution and authentication to evaluate performance.

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Estimation for the Rayleigh Distribution with Known Parameter under Multiply Type-II Censoring

  • Han, Jun-Tae;Kang, Suk-Bok
    • Journal of the Korean Data and Information Science Society
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    • v.17 no.3
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    • pp.933-943
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    • 2006
  • For multiply Type-II censored samples from two-parameter Rayleigh distribution, we derive some approximate maximum likelihood estimators of parameter in the Rayleigh distribution when the other parameter is known. We also compare the proposed estimators in the sense of the mean squared error for various censored samples.

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Estimation in a Half-Triangle Distribution Based on Multiply Type-II Censored Samples

  • Kang, Suk-Bok
    • Journal of the Korean Data and Information Science Society
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    • v.18 no.3
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    • pp.793-801
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    • 2007
  • For multiply Type-II censored samples from a half-triangle distribution, the maximum likelihood method does not admit explicit solutions. In this case, we propose some explicit estimators of the location parameter in the half-triangle distribution by the approximate maximum likelihood methods. We compare the proposed estimators in the sense of the mean squared error for various censored samples.

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Likelihood ratio in estimating Chi-square parameter

  • Rahman, Mezbahur
    • Journal of the Korean Data and Information Science Society
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    • v.20 no.3
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    • pp.587-592
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    • 2009
  • The most frequent use of the chi-square distribution is in the area of goodness-of-t of a distribution. The likelihood ratio test is a commonly used test statistic as the maximum likelihood estimate in statistical inferences. The recently revised versions of the likelihood ratio test statistics are used in estimating the parameter in the chi-square distribution. The estimates are compared with the commonly used method of moments and the maximum likelihood estimate.

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A Weibull Model Building Technique for Reliability Assessment with Limited failure Data (신뢰도 평가에서 제한된 데이터를 이용한 와이블분포 모형화 기법)

  • Kim, Gwang-Won
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.55 no.3
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    • pp.109-115
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    • 2006
  • The Weibull distribution is a good candidate for accurate probabilistic model with its rich shape-forming ability and relatively simple CDF(cumulative distribution function). If there are sufficient information to get convincible mean and variance for a probabilistic event, reliable parameters of the Weibull distribution can be determined uniquely. However, sufficient information is not given as usual. There needs more deliberate model building method for that case. This Paper presents an effective parameter estimation technique for Weibull distribution with limited failure data.

License Distribution Mechanism for the Rights Sharing Between Consumers

  • Liu, Zong-Hua;Lee, Byung-Wook;Han, Myung-Mook
    • Annual Conference of KIPS
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    • 2007.05a
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    • pp.981-984
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    • 2007
  • Most existing DRM systems give too much power to rights holders and have not concerned the requirements of the consumers. In this paper, we propose a mechanism for license distribution that considers the distribution of rights between consumers. we describe the protection of digital content in two digital licenses, formal license and peer license. Also we propose an extending mechanism to control the distribution of rights between consumers. For this mechanism, we define it by extending the ODRL model in the end.