Journal of shanghai Jiaotong University (Science) ›› 2015, Vol. 20 ›› Issue (3): 298-301.doi: 10.1007/s12204-015-1625-8

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Study on Probability Plot Correlation Coefficient of the Log-Weibull Distribution

Study on Probability Plot Correlation Coefficient of the Log-Weibull Distribution

JIANG Ren-yan (蒋仁言)   

  1. (Faculty of Automotive and Mechanical Engineering, Changsha University of Science and Technology, Changsha 410114, China)
  2. (Faculty of Automotive and Mechanical Engineering, Changsha University of Science and Technology, Changsha 410114, China)
  • Published:2015-06-11
  • Contact: JIANG Ren-yan (蒋仁言) E-mail:jiang@csust.edu.cn

Abstract: The log-Weibull distribution is a variant of the three-parameter Weibull distribution. The probability plot of a distribution model is desired since it can help to decide on whether the model is appropriate for fitting a given dataset and can provide the initial estimate of the model parameters. The decision on the appropriateness of a distribution is somehow subjective. This paper presents a probability plot of the log-Weibull distribution (LWPP). The distribution of the probability plot correlation coefficient is studied. From this distribution, a lower confidence limit is determined for determining whether the probability plot correlation coefficient derived from a given data set is large enough. The appropriateness and usefulness of this study are illustrated by two real-world examples.

Key words: log-Weibull| probability plot| correlation coefficient| lower confidence limit

摘要: The log-Weibull distribution is a variant of the three-parameter Weibull distribution. The probability plot of a distribution model is desired since it can help to decide on whether the model is appropriate for fitting a given dataset and can provide the initial estimate of the model parameters. The decision on the appropriateness of a distribution is somehow subjective. This paper presents a probability plot of the log-Weibull distribution (LWPP). The distribution of the probability plot correlation coefficient is studied. From this distribution, a lower confidence limit is determined for determining whether the probability plot correlation coefficient derived from a given data set is large enough. The appropriateness and usefulness of this study are illustrated by two real-world examples.

关键词: log-Weibull| probability plot| correlation coefficient| lower confidence limit

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