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An Extended Weibull Model with Variable Periodicity

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Abstract

A new distribution for the fluctuation of materials’ lifetime cumulative hazard rate is firstly proposed. The new distribution is extended from the Weibull distribution by adding a sine function. After that, the properties of its hazard rate function, cumulative hazard rate function, probability density function and cumulative distribution function are studied. The analysis result shows this distribution can well model the lifetime with variable and periodic hazard rate. Finally, the new distribution is verified with two real data sets as examples to demonstrate its capability.

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Authors and Affiliations

  1. Science College, Inner Mongolia University of Technology, Hohhot, 010051, China

    Xiuyun Peng

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  1. Xiuyun Peng
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Correspondence to Xiuyun Peng.

Additional information

This research was supported by the National Natural Science Foundation of China under Grant Nos. 11461051 and 11361036, and the Natural Science Foundation of Inner Mongolia under Grant No. 2014MS0112.

This paper was recommended for publication by Editor LI Qizhai.

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Peng, X. An Extended Weibull Model with Variable Periodicity. J Syst Sci Complex 31, 841–858 (2018). https://doi.org/10.1007/s11424-018-7046-7

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  • DOI: https://doi.org/10.1007/s11424-018-7046-7

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