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

doi:10.1007/s12204-015-1625-8

上海交通大学学报（英文版） ›› 2015, Vol. 20 ›› Issue (3): 298-301.doi: 10.1007/s12204-015-1625-8

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

JIANG Ren-yan (蒋仁言)

(Faculty of Automotive and Mechanical Engineering, Changsha University of Science and Technology, Changsha 410114, China)

发布日期:2015-06-11
通讯作者: JIANG Ren-yan (蒋仁言) E-mail:jiang@csust.edu.cn

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

JIANG Ren-yan (蒋仁言)

(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

摘要/Abstract

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

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

中图分类号:

O 213.2

JIANG Ren-yan (蒋仁言). Study on Probability Plot Correlation Coefficient of the Log-Weibull Distribution[J]. 上海交通大学学报（英文版）, 2015, 20(3): 298-301.

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.

参考文献 5

[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.

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

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

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