Study on Probability Plot Correlation Coefficient of the Log-Weibull Distribution |
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Authors: | JIANG Ren-yan |
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Institution: | Faculty of Automotive and Mechanical Engineering, Changsha University of Science and Technology,Changsha 410114, China |
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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. |
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Keywords: | log-Weibull probability plot correlation coefficient lower confidence limit |
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