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Quantile-Quantile Plot Compared with Stablized Probability Plot in Figure on the Distribution of the Test Research

Received: 18 April 2016    Accepted:     Published: 19 April 2016
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Abstract

Introduces the structure and function of PP (Stablized Probability Plot) and QQ (Quantile-Quantile Plot), and uses MATLAB to produce two sets of exponential distribution and normal distribution. The sample number is 20 and 45 respectively. The fitting of QQ plot and PP plot are respectively used to obtain the superiority of PP in the exponential distribution. In normal distribution, the QQ plot is more advantageous.

Published in American Journal of Applied Mathematics (Volume 4, Issue 2)
DOI 10.11648/j.ajam.20160402.17
Page(s) 110-113
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

QQ Plot, PP Plot, Goodness-of-Fit Test, Life Distribution

References
[1] Guo Lihong, The goodness of fit test of multivariate distribution and its application [D], Master’s degree thesis, North China Electric Power University2014.
[2] Liang J, Pan Wolliam S Y, Yang Z H. Characterization-baesd Q-Q Plots for Testing Multinormality [J]. Statistics and Probablity Letters. 2004, 70; 183-1190.
[3] Yan Su. Smooth tset for elliptical symmetry [C]. Proceedings of the 2011 International Conference on Machine Learing and Cybernetics. 2012.
[4] Yang Zhenhai, Cheng Weihu, Zhang Junjian, Goodness of fit test [M]. Science Press, 2011: 95-122.
[5] Wang Xueming, <Applied probability statistics > [M], Beijing: High Education Press, 2005.
[6] Zhang J. Powerful goodness of fit tests baesd on the likelihood ratio [J]. J Roy Soc, 2002, 64: 281-294.
[7] Wu Dong, TANG Yin-cai, PP Plot of Lifetime Distributions [J], Data statistics and management 2004, 23(5), 33-40 .
[8] Wang Shan, A comparative study on the life distribution [D], Master’s degree thesis, Zhejiang Gongshang University, 2012.
[9] Liu Lianhua, Luo Wenqiang, Comparison of goodness of fit [J], Journal of Yangtze University: Natural Science Edition, 2013, 10(4), 14-16.
[10] Surucu B. A power comparison and simulation study of goodness of fit tests [J]. Computersand Mathematics with Application, 2008, 56: 1617-1625
[11] Du He, Quantile regression [D], Master’s degree thesis, Huazhong Normal University, 2014.
[12] FAN Lijun and XIONG Zhe, Using Quantile Regression to Detect Relationships between Large-scale Predictors and Local Precipitation over Northern China [J], Advances in atmospheric science, 2015, 32, 541-552.
Cite This Article
  • APA Style

    Hu Yue, Yu Jin-yang. (2016). Quantile-Quantile Plot Compared with Stablized Probability Plot in Figure on the Distribution of the Test Research. American Journal of Applied Mathematics, 4(2), 110-113. https://doi.org/10.11648/j.ajam.20160402.17

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    ACS Style

    Hu Yue; Yu Jin-yang. Quantile-Quantile Plot Compared with Stablized Probability Plot in Figure on the Distribution of the Test Research. Am. J. Appl. Math. 2016, 4(2), 110-113. doi: 10.11648/j.ajam.20160402.17

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    AMA Style

    Hu Yue, Yu Jin-yang. Quantile-Quantile Plot Compared with Stablized Probability Plot in Figure on the Distribution of the Test Research. Am J Appl Math. 2016;4(2):110-113. doi: 10.11648/j.ajam.20160402.17

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  • @article{10.11648/j.ajam.20160402.17,
      author = {Hu Yue and Yu Jin-yang},
      title = {Quantile-Quantile Plot Compared with Stablized Probability Plot in Figure on the Distribution of the Test Research},
      journal = {American Journal of Applied Mathematics},
      volume = {4},
      number = {2},
      pages = {110-113},
      doi = {10.11648/j.ajam.20160402.17},
      url = {https://doi.org/10.11648/j.ajam.20160402.17},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20160402.17},
      abstract = {Introduces the structure and function of PP (Stablized Probability Plot) and QQ (Quantile-Quantile Plot), and uses MATLAB to produce two sets of exponential distribution and normal distribution. The sample number is 20 and 45 respectively. The fitting of QQ plot and PP plot are respectively used to obtain the superiority of PP in the exponential distribution. In normal distribution, the QQ plot is more advantageous.},
     year = {2016}
    }
    

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    T1  - Quantile-Quantile Plot Compared with Stablized Probability Plot in Figure on the Distribution of the Test Research
    AU  - Hu Yue
    AU  - Yu Jin-yang
    Y1  - 2016/04/19
    PY  - 2016
    N1  - https://doi.org/10.11648/j.ajam.20160402.17
    DO  - 10.11648/j.ajam.20160402.17
    T2  - American Journal of Applied Mathematics
    JF  - American Journal of Applied Mathematics
    JO  - American Journal of Applied Mathematics
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    EP  - 113
    PB  - Science Publishing Group
    SN  - 2330-006X
    UR  - https://doi.org/10.11648/j.ajam.20160402.17
    AB  - Introduces the structure and function of PP (Stablized Probability Plot) and QQ (Quantile-Quantile Plot), and uses MATLAB to produce two sets of exponential distribution and normal distribution. The sample number is 20 and 45 respectively. The fitting of QQ plot and PP plot are respectively used to obtain the superiority of PP in the exponential distribution. In normal distribution, the QQ plot is more advantageous.
    VL  - 4
    IS  - 2
    ER  - 

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Author Information
  • Department of Mathematics and Information Science, Zhejiang University of Science and Technology, Hangzhou, P. R. China

  • Department of Mathematics and Information Science, Zhejiang University of Science and Technology, Hangzhou, P. R. China

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