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Uncertain Weibull regression model with imprecise observations

  • Methodologies and Application
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Abstract

As an important growth curve model, Weibull regression model has been widely used in biological science, modern commerce, production industry and so on. However, due to technical constraints, loss of information, limited knowledge and other factors, and sometimes it is hard or impossible to accurately obtain enough observed data, which may make the classical Weibull regression models arrive at wrong conclusions in that these models ignored expressing such uncertainties behind the observed data. By considering this circumstance, a new modification of Weibull regression model for variables with imprecise observations is constructed to finish off this issue based on uncertainty theory. In addition, the parameter estimation method, residual analysis and confidence interval for the uncertain Weibull regression model are further presented, followed by leave-one-out cross-validation for model evaluation, to make the prediction or inference more reliable. Moreover, a numerical example is documented to illustrate how we construct the uncertain Weibull regression model step by step.

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Authors and Affiliations

  1. Department of International Trade and Economy, Ocean University of China, Qingdao, 266100, China

    Zezhou Zou, Bao Jiang & Jian Li

  2. Marine Development Studies Institute, Ocean University of China, Qingdao, 266100, China

    Jian Li

  3. Department of Mathematical Sciences, Tsinghua University, Beijing, 100084, China

    Waichon Lio

Authors
  1. Zezhou Zou
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  2. Bao Jiang
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  3. Jian Li
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  4. Waichon Lio
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Corresponding author

Correspondence to Jian Li.

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The authors declare that there is no conflict of interest regarding the publication of this paper.

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This article does not contain any studies with human participants performed by the authors.

Funding

This work was supported by National Natural Science Foundation of China Grant No. 61873329 and support by the Fundamental Research Funds for the Central Universities No. 201713011.

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Informed consent was obtained from all individual participants included in the study.

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Communicated by V. Loia.

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Zou, Z., Jiang, B., Li, J. et al. Uncertain Weibull regression model with imprecise observations. Soft Comput 25, 2767–2775 (2021). https://doi.org/10.1007/s00500-020-05336-2

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