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Journal of Systems Science and Complexity

, Volume 31, Issue 3, pp 841–858 | Cite as

An Extended Weibull Model with Variable Periodicity

  • Xiuyun Peng
Article
  • 38 Downloads

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.

Keywords

Cumulative hazard rate function Sine function Weibull distribution 

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Copyright information

© Institute of Systems Science, Academy of Mathematics and Systems Science, CAS and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Science CollegeInner Mongolia University of TechnologyHohhotChina

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