| Summary: | In reliability, a Bi-Weibull distribution can be represented by a combination of two
decreasing, constant or increasing failure rate functions. Several versions of Bi-Weibull
distributions can be found but these versions differ in the way in which the two Weibull
distributions were combined and in the number of parameters specified. In this paper we
determine the Bi-Weibull distribution from a combination of two Weibull distributions each
having 2 or 3-parameters. We also determine the probability density, cumulative distribution,
survival and hazard functions of the 4, 5, and 6-parameter Bi-Weibull distributions. The result
is that by increasing the number of parameters would give the distribution more flexibility. An
application of the 4-parameter Bi-Weibull distribution is also included using real data
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