A New Flexible Weibull Extended Distribution

Zubair Ahmad

Abstract


The  present  study  considers  a  new  function  to  introduce  a  very  flexible  lifetime  distribution.  The  new  distribution  is introduced  by  considering  a  linear  scheme  of  the  two  logarithms  of  cumulative  hazard  functions  and  is  named  as  very flexible  Weibull  extended  distribution.  The  new  model  is  very  flexible  and  accommodates  increasing,  unimodal,  modified unimodal  or  bathtub  shapes  failure  rate  function.  Different  structural  properties  along  with  the  estimation  using maximum likelihood  method  will be  discussed.  In order  to  illustrate  the  usefulness  of  the  proposed  model,  an application to a  well-known  lifetime  data  set  will  be  analyzed,  and  the  goodness  of  fit  result  of  the  proposed  model  is  compared  with Weibull and eleven  other  well-known extensions  of  the  Weibull  model.

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MAYFEB Journal of Mechanical Engineering
MAYFEB TECHNOLOGY DEVELOPMENT
Toronto, Ontario, Canada