• Title/Summary/Keyword: Multiply Type-II Censored Sample

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Estimation for the Skewed Exponential Distribution Based on Multiply Type-II Censored Samples

  • Kang, Suk-Bok;Han, Jun-Tae;Park, Sun-Mi
    • 한국데이터정보과학회:학술대회논문집
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    • 2004.10a
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    • pp.125-133
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    • 2004
  • In this paper, we derive the approximate maximum likelihood estimators of the scale and location parameters of the skewed exponential distribution based on multiply Type-II censored samples. We compare the proposed estimators in the sense of the mean squared error for various censored samples.

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Estimation for the Half-Logistic Distribution Based on Multiply Type-II Censored Samples

  • Kang, Suk-Bok;Park, Young-Kou
    • Journal of the Korean Data and Information Science Society
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    • v.16 no.1
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    • pp.145-156
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    • 2005
  • In this paper, we derive the approximate maximum likelihood estimators (AMLEs) of the scale parameter of the half-logistic distribution based on multiply Type-II censored samples. We compare the proposed estimators in the sense of the mean squared error (MSE) 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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Estimation for the Double Rayleigh Distribution Based on Multiply Type-II Censored Samples

  • Han, Jun-Tae;Kang, Suk-Bok
    • Communications for Statistical Applications and Methods
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    • v.15 no.3
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    • pp.367-378
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    • 2008
  • In this paper, we derive the approximate maximum likelihood estimators of the scale parameter and the location parameter in a double Rayleigh distribution based on multiply Type-II censored samples. We compare the proposed estimators in the sense of the mean squared error for various censored samples.

Goodness-of-fit tests for the inverse Weibull or extreme value distribution based on multiply type-II censored samples

  • Kang, Suk-Bok;Han, Jun-Tae;Seo, Yeon-Ju;Jeong, Jina
    • Journal of the Korean Data and Information Science Society
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    • v.25 no.4
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    • pp.903-914
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    • 2014
  • The inverse Weibull distribution has been proposed as a model in the analysis of life testing data. Also, inverse Weibull distribution has been recently derived as a suitable model to describe degradation phenomena of mechanical components such as the dynamic components (pistons, crankshaft, etc.) of diesel engines. In this paper, we derive the approximate maximum likelihood estimators of the scale parameter and the shape parameter in the inverse Weibull distribution under multiply type-II censoring. We also develop four modified empirical distribution function (EDF) type tests for the inverse Weibull or extreme value distribution based on multiply type-II censored samples. We also propose modified normalized sample Lorenz curve plot and new test statistic.

Test for the Exponential Distribution Based on Multiply Type-II Censored Samples

  • Kang, Suk-Bok;Lee, Sang-Ki
    • Communications for Statistical Applications and Methods
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    • v.13 no.3
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    • pp.537-550
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    • 2006
  • In this paper, we develope three modified empirical distribution function type tests, the modified Cramer-von Mises test, the modified Anderson-Darling test, and the modified Kolmogorov-Smirnov test for the two-parameter exponential distribution with unknown parameters based on multiply Type-II censored samples. For each test, Monte Carlo techniques are used to generate the critical values. The powers of these tests are also investigated under several alternative distributions.

Goodness-of-fit test for the half logistic distribution based on multiply Type-II censored samples

  • Kang, Suk-Bok;Cho, Young-Seuk;Han, Jun-Tae;SaKong, Jin
    • Journal of the Korean Data and Information Science Society
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    • v.21 no.2
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    • pp.317-325
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    • 2010
  • In this paper, we develop four modified empirical distribution function (EDF) type tests using approximate maximum likelihood estimators for the half-logistic distribution based on multiply Type-II censored samples. We also propose modified normalize sample Lorenz curve polt and new test statistics. We compare the above test statistics in the sense of the power for various censored samples. We present an example to illustrate this method.

Estimation for Exponential Distribution Based on Multiply Type-II Censored Samples

  • Kang, Suk-Bok
    • 한국데이터정보과학회:학술대회논문집
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    • 2004.04a
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    • pp.203-210
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    • 2004
  • When the available sample is multiply Type-II censored, the maximum likelihood estimators of the location and the scale parameters of two- parameter exponential distribution do not admit explicitly. In this case, we propose some estimators which are linear functions of the order statistics and also propose some estimators by approximating the likelihood equations appropriately. We compare the proposed estimators by the mean squared errors.

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Estimation of Weibull Scale Parameter Based on Multiply Type-II Censored Samples

  • Kang, Suk-Bok;Lee, Hwa-Jung;Han, Jun-Tae
    • Journal of the Korean Data and Information Science Society
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    • v.15 no.3
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    • pp.593-603
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    • 2004
  • We consider the problem of estimating the scale parameter of the Weibull distribution based on multiply Type-II censored samples. We propose two estimators by using the approximate maximum likelihood estimation method for Weibull and extreme value distributions. The proposed estimators are compared in the sense of the mean squared error.

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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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