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.
JIANG Ren-yan (蒋仁言)
. Study on Probability Plot Correlation Coefficient of the Log-Weibull Distribution[J]. Journal of Shanghai Jiaotong University(Science), 2015
, 20(3)
: 298
-301
.
DOI: 10.1007/s12204-015-1625-8
[1] Jiang R Y, Wang T J. Log-Weibull distribution as a lifetime distribution [C]//Proceedings of International Conference on Quality, Reliability, Risk, Maintenance,and Safety Engineering (QR2MSE 2013). Chengdu,China: IEEE, 2013: 851-854.
[2] Jiang R Y. A drawback and an improvement of the classical Weibull probability plot [J]. Reliability Engineering and System Safety, 2014, 126: 135-142.
[3] Jiang R Y. A new bathtub curve model with a finite support [J]. Reliability Engineering and System Safety,2013, 119: 44-51.
[4] Murthy D N P, Xie M, Jiang R Y. Weibull models[M]. Hoboken: John Wiley & Sons, 2003.
[5] Balakrishnan N, Beutner E, Cramer E. Exact two-sample nonparametric confidence, prediction, and tolerance intervals based on ordinary and progressively type-II right censored data [J]. Mathematics and Statistics, 2010, 19(1): 68-91.
